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Trigonometric a.proxima.ion of Signa.s (Functions) Belonging to the Lip(ξ(t),r),(r>1)-Cla.s by (E,q) (q>0)-Mea.s of the Conjuga.e Series of Its Fourier Series

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a.va.ces in Pure Ma.hema.ics 2013年第3期3卷 353-358页

作者： Vishnu Na.a.a. Mishra.Huzoor H. khan idrees a. khan Keja. Kha.ri La.shmi N. Mishra Depa.tment of a.plied Ma.hema.ics & Huma.ities Sardar Vallabhbhai National Institute of Technology Surat India Depa.tment of Ma.hema.ics Aligarh Muslim University Aligarh India Dr. Ra. Ma.oha. Lohia.a.a.h University Faizabad India

Va.ious investiga.ors such a. khan ([1-4]), khan a.d Ra. [5], Cha.dra.[6,7], Leindler [8], Mishra.et a.. [9], Mishra.[10], Mitta. et a.. [11], Mitta., Rhoa.es a.d Mishra.[12], Mitta. a.d Mishra.[13], Rhoa.es et a.. [14] ha.e determined the degree of a.proxima.ion of 2π-periodic signa.s (functions) belonging to va.ious cla.ses Lipα, Lip(α,r), Lip(ξ(t),r) a.d W(Lr,ζ(t)) of functions through trigonometric Fourier a.proxima.ion (TFa. using different summa.ility ma.rices with monotone rows. Recently, Mitta. et a.. [15], Mishra.a.d Mishra.[16], Mishra.[17] ha.e obta.ned the degree of a.proxima.ion of signa.s belonging to -cla.s by genera. summa.ility ma.rix, which genera.izes the results of Leindler [8] a.d some of the results of Cha.dra.[7] by dropping monotonicity on the elements of the ma.rix rows (tha. is, wea.ening the conditions on the filter, we improve the qua.ity of digita. filter). In this pa.er, a.theorem concerning the degree of a.proxima.ion of the conjuga.e of a.signa. (function) f belonging to Lip(ξ(t),r) cla.s by (E,q) summa.ility of conjuga.e series of its Fourier series ha. been esta.lished which in turn genera.izes the results of Cha.dra.[7] a.d Shukla.[18].

关键词： Signa.s Conjuga.e Fourier Series Trigonometric Fourier a.proxima.ion Degree of a.proxima.ion Lip(ξ(t) r)-Cla.s (E q) Summa.ility

Common Fixed Point Theorems in Metric Spa.e by a.tering Dista.ce Function

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a.va.ces in Pure Ma.hema.ics 2017年第6期7卷 335-344页

作者： Vishnu Na.a.a. Mishra.Ba.a.i Ra.huna.h Wa.ka. Ra.a.a.t Bha.dwa. idrees a. khan Ba.a.t Singh a.plied Ma.hema.ics & Huma.ities Depa.tment S.V. National Institute of Technology Gujarat India Depa.tment of Ma.hema.ics Indira Gandhi National Tribal University Madhya Pradesh India Depa.tment of Ma.hema.ics AISECT University Bhopal India Depa.tment of Ma.hema.ics TIT Group of Institutes Anand Nagar India Depa.tment of Ma.hema.ics Integral University Lucknow India

In the present pa.er, we prove two theorems. In first theorem, we prove fixed point result for self-ma.s in the metric spa.e under contra.tive condition of integra. type by a.tering dista.ce. In second result, we prove a.unique common fixed point theorem by considering four sub compa.ible ma.s under a.contra.tive condition of integra. type.

关键词： a.tering Dista.ce Function Sub Compa.ible

Review of Techniques for Integra.ing Security in Softwa.e Development Lifecycle

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Computers, Ma.eria.s & Continua 2025年第1期82卷 139-172页

作者： Ha.sa. Sa.ed Imra. Sha.i Ja.il a.ma. a.na. a.med khan Ta.ir Khursha.d Imra. a.hra. College of Electrica. a.d Mecha.ica. Engineering National University of Sciences and Technology(NUST)Rawalpindi46604Pakistan Depa.tment of Computer Science Abasyn University Islamabad CampusIslamabad45510Pakistan Milita.y College of Signa.s National University of Sciences and Technology(NUST)Rawalpindi46600Pakistan Depa.tment of Electrica. Engineering Yeungnam UniversityGyeongsan38541Republic of Korea Depa.tment of Informa.ion a.d Communica.ion Engineering Yeungnam UniversityGyeongsan38541Republic of Korea

Softwa.e-rela.ed security a.pects a.e a.growing a.d legitima.e concern,especia.ly with 5G da.a.a.a.la.le just a. our *** conduct resea.ch in this field,periodic compa.a.ive a.a.ysis is needed with the new techniques coming up *** purpose of this study is to review the recent developments in the field of security integra.ion in the softwa.e development lifecycle(SDLC)by a.a.yzing the a.ticles published in the la.t two deca.es a.d to propose a.wa. *** review follows Kitchenha.’s review *** review ha. been divided into three ma.n sta.es including pla.ning,execution,a.d *** the selected 100 a.ticles,it becomes evident tha. need of a.colla.ora.ive a.proa.h is necessa.y for a.dressing critica. softwa.e security risks(CSSRs)through effective risk ma.a.ement/estima.ion *** risks using a.numeric sca.e ena.les a.comprehensive understa.ding of their severity,fa.ilita.ing focused resource a.loca.ion a.d mitiga.ion *** a.comprehensive understa.ding of potentia. vulnera.ilities a.d proa.tive mitiga.ion efforts fa.ilita.ed by protection poker,orga.iza.ions ca. prioritize resources effectively to ensure the successful outcome of projects a.d initia.ives in toda.’s dyna.ic threa. *** review revea.s tha. threa. a.a.ysis a.d security testing a.e needed to develop a.toma.ed tools for the *** estima.ion of effort required to prioritize potentia. security risks is a.big cha.lenge in softwa.e *** a.cura.y of effort estima.ion ca. be further improved by exploring new techniques,pa.ticula.ly those involving deep *** is a.so impera.ive to va.ida.e these effort estima.ion methods to ensure a.l potentia. security threa.s a.e *** cha.lenge is selecting the right model for ea.h specific security *** a.hieve a.comprehensive eva.ua.ion,resea.chers should use well-known benchma.k checklists.

关键词： Softwa.e development lifecycle systema.ic litera.ure review critica. softwa.e security risks na.iona. institute of sta.da.ds a.d technology DevSecOps open web a.plica.ion security project McGra.’s touch points

Exploring Na.osca.e Perovskite Ma.eria.s for Next‑Genera.ion Photodetectors:a.Comprehensive Review a.d Future Directions

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Na.o-Micro Letters 2025年第2期17卷 46-108页

作者： Xin Li Sika.da. a.ta. Ma.ia.Mukhta. Fa.mid Ka.ir Muha.ma. Fa.ooq khan Hosa.eldin Helmy Hega.y Erdi a.ma. Sta.e Key La.ora.ory of Pulsed Power La.er Technology National University of Defense TechnologyHefei 230037AnhuiPeople’s Republic of China a.hui La.ora.ory of a.va.ced La.er Technology Hefei 230037AnhuiPeople’s Republic of China Na.hu La.er La.ora.ory Changsha 410015HunanPeople’s Republic of China Depa.tment of Semiconductor Systems Engineering a.d Clea. Energy Sejong UniversitySeoul 05006Republic of Korea Depa.tment of a.tificia. Intelligence a.d Robotics Sejong UniversitySeoul 05006Republic of Korea School of Engineering Science Simon Fraser UniversityBurnabyBC V5A 1S6Canada Depa.tment of Electrica. Engineering Sejong UniversitySeoul 05006South Korea Depa.tment of Physics Faculty of ScienceKing Khalid UniversityP.O.Box 9004AbhaSaudi Arabia Centra. La.s King Khalid UniversityAlQura’aP.O.Box 96061413 AbhaSaudi Arabia Scientific a.d Technologica. Resea.ch a.d a.plica.ion Center Karamanoglu Mehmetbey University70100 KaramanTurkey

The ra.id a.va.cement of na.otechnology ha. spa.ked much interest in a.plying na.osca.e perovskite ma.eria.s for photodetection *** ma.eria.s a.e promising ca.dida.es for next-genera.ion photodetectors(PDs)due to their unique optoelectronic properties a.d flexible synthesis *** review explores the a.proa.hes used in the development a.d use of optoelectronic devices ma.e of different na.osca.e perovskite a.chitectures,including qua.tum dots,na.osheets,na.orods,na.owires,a.d *** a.thorough a.a.ysis of recent litera.ure,the review a.so a.dresses common issues like the mecha.isms underlying the degra.a.ion of perovskite PDs a.d offers perspectives on potentia. solutions to improve sta.ility a.d sca.a.ility tha. impede widesprea. *** a.dition,it highlights tha. photodetection encompa.ses the detection of light fields in dimensions other tha. light intensity a.d suggests potentia. a.enues for future resea.ch to overcome these obsta.les a.d fully rea.ize the potentia. of na.osca.e perovskite ma.eria.s in sta.e-of-the-a.t photodetection *** review provides a.comprehensive overview of na.osca.e perovskite PDs a.d guides future resea.ch efforts towa.ds improved performa.ce a.d wider a.plica.ility,ma.ing it a.va.ua.le resource for resea.chers.

关键词： Na.osca.e perovskites Photodetectors Na.osheets Na.orods Na.owires Qua.tum dots Na.ocrysta.s

a.Synergistic Multi-a.tribute Decision-Ma.ing Method for Educa.iona. Institutions Eva.ua.ion Using Simila.ity Mea.ures of Possibility Pytha.orea. Fuzzy Hypersoft Sets

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Computer Modeling in Engineering & Sciences 2025年第1期142卷 501-530页

作者： Khura. a.i khan Sa.a.Mubeen Ishfa. a.iqe Ur Ra.ma. Sa.wa.El-Morsy Depa.tment of Ma.hema.ics University of SargodhaSargodha40100Pakistan Depa.tment of Ma.hema.ics University of Management and TechnologyLahore54000Pakistan Depa.tment of Ma.hema.ics College of ScienceQassim UniversityBuraydah51452Saudi Arabia

Due to the numerous va.ia.les to ta.e into a.count a. well a. the inherent a.biguity a.d uncerta.nty,eva.ua.ing educa.iona. institutions ca. be *** concept of a.possibility Pytha.orea. fuzzy hypersoft set(pPyFHSS)is more flexible in this rega.d tha. other theoretica. fuzzy set-like models,even though some a.tempts ha.e been ma.e in the litera.ure to a.dress such *** study investiga.es the elementa.y notions of pPyFHSS including its set-theoretic opera.ions union,intersection,complement,OR-a.d *** results rela.ed to these opera.ions a.e a.so modified for ***,the simila.ity mea.ures between pPyFHSSs a.e formula.ed with the a.sista.ce of numerica. exa.ples a.d ***,a. intelligent decision-a.sisted mecha.ism is developed with the proposa. of a.robust a.gorithm ba.ed on simila.ity mea.ures for solving multi-a.tribute decision-ma.ing(Ma.M)problems.a.ca.e study tha. helps the decision-ma.ers a.sess the best educa.iona. institution is discussed to va.ida.e the suggested *** a.gorithmic results a.e compa.ed with the most pertinent model to eva.ua.e the a.a.ta.ility of pPyFHSS,a. it genera.izes the cla.sica. possibility fuzzy set-like theoretica. ***,while considering significa.t eva.ua.ing fa.tors,the flexibility of pPyFHSS is observed through structura. compa.ison.

关键词： Hypersoft set Pytha.orea. fuzzy hypersoft set computa.iona. complexity multi-a.tribute decision-ma.ing optimiza.ion simila.ity mea.ures uncerta.nty

Secure Cha.nel Estima.ion Using Norm Estima.ion Model for 5G Next Genera.ion Wireless Networks

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Computers, Ma.eria.s & Continua 2025年第1期82卷 1151-1169页

作者： Kha.il Ulla. Song Jia. Muha.ma. Na.em Ul Ha.sa. Sulima. khan Moha.ma. Ba.a. a.sha. a.ma. Sha.iq a.ma. Fa.ulty of Informa.ion Engineering a.d a.toma.ion Kunming University of Science and TechnologyKunming650500China Depa.tment of Computer Science Abbottabad University of Science and TechnologyHavelianAbbottabad22500Pakistan Depa.tment of Computing a.d Electronics Engineering Middle East CollegeMuscat124Oman Depa.tment of CS&IT Pak-Austria Fachhochschule Institute of Applied Sciences and Technology MangHaripur22621Pakistan Industria. Engineering Depa.tment College of EngineeringKing Saud UniversityRiyadh11421Saudi Arabia

The emergence of next genera.ion networks(NextG),including 5G a.d beyond,is resha.ing the technologica. la.dsca.e of cellula. a.d mobile *** networks a.e sufficiently sca.ed to interconnect billions of users a.d *** in a.a.emia.a.d industry a.e focusing on technologica. a.va.cements to a.hieve highspeed tra.smission,cell pla.ning,a.d la.ency reduction to fa.ilita.e emerging a.plica.ions such a. virtua. rea.ity,the meta.erse,sma.t cities,sma.t hea.th,a.d a.tonomous *** continuously improves its network functiona.ity to support these *** input multiple output(MIMO)technology offers spectra. efficiency,dependa.ility,a.d overa.l performa.ce in *** a.ticle proposes a.secure cha.nel estima.ion technique in MIMO topology using a.norm-estima.ion model to provide comprehensive insights into protecting NextG network components a.a.nst a.versa.ia. *** technique a.ms to crea.e long-la.ting a.d secure NextG networks using this extended *** via.ility of MIMO a.plica.ions a.d modern a.-driven methodologies to comba. cybersecurity threa.s a.e explored in this ***,the proposed model demonstra.es high performa.ce in terms of relia.ility a.d a.cura.y,with a.20%reduction in the Ma.Out-Rea.Out-Diff metric compa.ed to existing sta.e-of-the-a.t techniques.

关键词： Next genera.ion networks ma.sive mimo communica.ion network a.tificia. intelligence 5G a.versa.ia. a.ta.ks cha.nel estima.ion informa.ion security

Computa.iona.-a.a.ysis of the Non-Isotherma. Dyna.ics of the Gra.ity-Driven Flow of Viscoela.tic-Fluid-Ba.ed Na.ofluids Down a. Inclined Pla.e

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Fluid Dyna.ics & Ma.eria.s Processing 2023年第3期19卷 767-781页

作者： idrees khan Tiri Chinyoka.a.drew Gill Centre for Resea.ch in Computa.iona.&a.plied Mecha.ics University of Cape TownRondebosch7701South Africa Depa.tment of Ma.hema.ics a.d a.plied Ma.hema.ics University of Cape TownRondebosch7701South Africa Centre for High Performa.ce a.d Computing Council for Scientific and Industrial ResearchRosebankCape Town7700South Africa

The pa.er explores the gra.ity-driven flow of the thin film of a.viscoela.tic-fluid-ba.ed na.ofluids(VFBN)a.ong a. inclined pla.e under non-isotherma. conditions a.d subjected to convective cooling a. the *** Newton’s la. of cooling is used to model the convective hea.-excha.ge with the a.bient a. the *** Giesekus viscoela.tic constitutive model,with a.propria.e modifica.ions to a.count for non-isotherma. effects,is employed to describe the polymeric *** unstea.y a.d coupled non-linea. pa.tia. differentia. equa.ions(PDEs)describing the model problem a.e obta.ned a.d solved via.efficient semi-implicit numerica. schemes ba.ed on finite difference methods(FDM)implemented in *** response of the VFBN velocity,tempera.ure,therma.-conductivity a.d polymeric-stresses to va.ia.ions in the volume-fra.tion of embedded na.opa.ticles is *** is shown tha. these qua.tities a.l increa.e a. the na.opa.ticle volume-fra.tion becomes higher.

关键词： Semi-implicit numerica. scheme finite difference methods viscoela.tic-fluid-ba.ed na.ofluid(VFBN) nonisotherma. viscoela.tic flow giesekus constitutive model na.ofluid therma.-conductivity gra.ity-driven flow

Current Progress of Phytomedicine in Gliobla.toma.Thera.y

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Current Medica. Science 2020年第6期40卷 1067-1074页

作者： Fa.a. Ha.sa. Sha. Sa.d Sa.ma. Ja.a.ia.idrees Fa.iha.idrees Syed Tura. a.i Sha. a.id a.i khan Ba.hir a.ma. Centre of Biotechnology a.d Microbiology University of PeshawarPeshawar 25120Pakistan Depa.tment of Pha.ma.y The University of LahoreIslamabad CampusIslamabad 45800Pakistan Isla.ia.College University Pesha.a. Peshawar 25000Pakistan

Gliobla.toma.multiforme,a. intrusive bra.n ca.cer,ha. the lowest surviva. ra.e of a.l bra.n *** chemothera.y utilized to prevent their prolifera.ion a.d propa.a.ion is limited due to modula.ion of complex ca.cer signa.ling *** complex pa.hwa.s provide infiltra.ive a.d drug eva.ing properties lea.ing to the development of chemothera.y ***,the development a.d discovery of such interventions or thera.ies tha. ca. bypa.s a.l these resistive ba.riers to a.eliora.e glioma.prognosis a.d surviva. is of profound *** pla.ts a.e comprised of a. exorbita.t ra.ge of phytochemica.s tha. ha.e the broa.-spectrum ca.a.ility to ta.get intrusive bra.n ca.cers,modula.e a.ti-ca.cer pa.hwa.s a.d immunologica. responses to fa.ilita.e their era.ica.ion,a.d induce *** phytocompounds a.so interfere with severa. oncogenic proteins tha. promote ca.cer inva.iveness a.d meta.ta.is,chemothera.y resista.ce a.d *** pla.ts a.e extremely vita. for promising a.ti-glioma.thera.y to a.ert glioma.prolifera.ion a.d *** this review,we a.quired recent litera.ure on medicina. pla.ts whose extra.ts/bioa.tive ingredients a.e newly exploited in glioma.thera.eutics,a.d a.so highlighted their mode of a.tion a.d pha.ma.ologica. profile.

关键词： phytomedicine phytochemica.s gliobla.toma chemothera.y resista.ce bioa.tive

a.va.cements in a.sorption a.d photodegra.a.ion technologies for Rhoda.ine B dye wa.tewa.er trea.ment:funda.enta.s,a.plica.ions,a.d future directions

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Green Chemica. Engineering 2024年第4期5卷 440-460页

作者： Peter Olusa.in Ola.oye Moha.med Ka.hom idrees khan Kosa. Hikma. Ha.a.a.iz Ya.ubu a.ekunle a.li Depa.tment of Chemistry a.d Biochemistry Florida International University11200 SW 8th StMiamiFL33199USA a.a.ytica./Environmenta. Chemistry Unit Department of Pure and Applied ChemistryLadoke Akintola University of TechnologyP.M.B4000Nigeria Depa.tment of Environmenta. Science College of Energy and Environmental ScienceAlkarkh University of ScienceBaghdad10081Iraq School of Chemistry a.d Chemica. Engineering Northwestern Polytechnical UniversityXi'an710129China Depa.tment of Chemistry College of ScienceUniversity of SulaimaniQlyasan StreetSulaymaniyah46001Kurdistan RegionIraq Depa.tment of Medica. La.ora.ory of Science College of Health SciencesUniversity of Human DevelopmentSulaymaniyah46001Kurdistan RegionIraq CNRS LCC(Laboratoire de Chimie de Coordination)UPR8241Universite de ToulouseUPSINPTToulouseCedex 4F-31077France

Orga.ic dye polluta.ts present in wa.tewa.er pose a.significa.t globa. *** polluta.ts,the synthetic dye Rhoda.ine B(RB)sta.ds out due to its non-biodegra.a.le na.ure a.d a.socia.ed neurotoxic,ca.cinogenic,a.d respira.ory irrita.t *** resea.ch ha. been conducted on the effica.y of a.sorption a.d photodegra.a.ion techniques for the remova. of RB from *** a.sorption a.d a.va.ced oxida.ion processes(a.Ps)ha.e ga.ned considera.le a.tention for their effectiveness in recent yea.s,the underlying beha.iors a.d mecha.isms of these technologies rema.n incompletely ***,a.comprehensive of recent resea.ch progress in this doma.n is impera.ive to cla.ify the ba.ics a.d present the up-to-da.e *** review provides a. in-depth explora.ion of the funda.enta.s,a.va.cements,a.d future tra.ectories of RB wa.tewa.er trea.ment technologies,ma.nly encompa.sing a.sorption a.d *** work sta.ts with a.genera. introduction of outlining the sources,toxicity,a.d diverse a.plica.le remova. ***,it thoroughly exa.ines crucia. techniques within non-photochemica.,photochemica.,a.d a.sorption technologies,such a. UV light a.sisted a.P,ca.a.yst a.sisted a.P,ozona.ion,Fenton system,electrochemica. a.P,a.d a.sorption *** prima.y objective is to furnish a.broa. overview of these techniques,elucida.ing their effectiveness,limita.ions,a.d *** this,the review enca.sula.es sta.e-of-thea.t computa.iona. simula.ions perta.ning to RB a.sorption a.d intera.tions with cla.s a.d other ***,it delves into column a.sorption of RB dye,a.d elucida.es va.ious influencing fa.tors,including bed height,feed concentra.ion,polluta.t(RB)feeding or flow ra.e,a.d column *** pa.ora.ic review a.ms to provide va.ua.le insights into suita.le techniques,resea.ch ga.s,a.d the a.plica.ility of nonphotochemica.,photochemica.,a.d a.sorption technologies in the trea.ment of

关键词： Rhoda.ine B Wa.tewa.er trea.ment Photodegra.a.ion Column a.sorption Dye remova. a.va.ced oxida.ion processes