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Construction of Three Quadrature Formulas of Eighth Order and Their Application for Approximating Series

Applied Mathematics 2015年第6期6卷 1031-1046页

作者： Boguslaw bozek Wieslaw Solak Zbigniew Szydelko Faculty of Applied Mathematics AGH University of Science and TechnologyCracowPoland

In this paper, three types of three-parameters families of quadrature formulas for the Riemann’s integral on an interval of the real line are carefully studied. This research is a continuation of the results in the [1]-[3]. All these quadrature formulas are not based on the integration of an interpolant as so as the Gregory rule, a well-known example in numerical quadrature of a trapezoidal rule with endpoint corrections of a given order (see [4]). In some natural restrictions on the parameters we construct the only one quadrature formula of the eight order which belongs to the first, second and third family. For functions whose 8th derivative is either always positive or always negative, we use these quadrature formulas to get good two-sided bound on . Additionally, we apply these quadratures to obtain the approximate sum of slowly convergent series , where .

关键词： Quadrature and Cubature Formulas Numerical Integration

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Glucagon-like-1 receptor agonists and sodium/glucose cotransporter-2 inhibitors combination—are we exploiting their full potential in a real life setting?

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World Journal of Diabetes 2020年第11期11卷 540-552页

作者： Maja Cigrovski Berkovic Ines Bilic-Curcic Tomislav bozek Davorka Herman Mahecic Sanja KlobucarMajanovic Silvija Canecki-Varzic Jelena Andric Srecko Marusic Anna Mrzljak Faculty of Medicine J.J.Strossmayer University OsijekOsijek 31000Croatia Department for Endocrinology Diabetes and Clinical PharmacologyClinical Hospital DubravaZagreb 10000Croatia Department of Kinesiological Anthropology and Methodology Faculty of KinesiologyUniversity of ZagrebZagreb 10000Croatia Department of Endocrinology and Metabolism Disorders Clinical Hospital CenterOsijek 31000Croatia University Clinic for Diabetes“Vuk Vrhovac” Merkur University HospitalZagreb 10000Croatia School of Medicine University of ZagrebZagreb 10000Croatia Department for Endocrinology Diabetes and MetabolismUniversity Hospital Centre“Sestre milosrdnice”Zagreb 10000Croatia Department for Endocrinology Diabetes and MetabolismUniversity Hospital Centre RijekaSchool of MedicineUniversity of Rijeka51000 RijekaCroatia Department of Medicine Merkur University HospitalSchool of MedicineUniversity of ZagrebZagreb 10000Croatia

BACKGROUND The sodium/glucose cotransporter-2 inhibitors(SGLT-2i)and glucagon-like-1 receptor agonists(GLP-1RA)are antidiabetic agents effective both in hemoglobin A1c(HbA1c)reduction(with a low risk of hypoglycemia)and cardiovascular event *** patients with type 2 diabetes,the add-on value of combination therapy of GLP-1RA and an SGLT-2i seems *** To investigate whether the efficacy of GLP-1RA and SGLT-2i combination observed in randomized controlled trials translates into therapeutic benefits in the Croatian population during routine clinical practice and *** We included 200 type 2 diabetes patients with poor glycemic control and analyzed the effects of treatment intensification with(1)GLP-1RA on top of SGLT-2i,(2)SGLT-2i on top of GLP-1RA compared to(3)simultaneous addition of both *** primary study endpoint was the proportion of participants with HbA1c<7.0%and/or 5%bodyweight *** outcomes included changes in fasting plasma glucose(FPG),prandial plasma glucose,lowdensity lipoprotein cholesterol,estimated glomerular filtration rate(eGFR),and cardiovascular(CV)incidents assessment over a follow-up period of 12 *** The majority of patients were over 65-years-old,had diabetes duration for more than 10 *** initial body mass index was 39.41±5.49 kg/m2 and HbA1c 8.32±1.26%.Around half of the patients in all three groups achieved target HbA1c below 7%.A more pronounced decrease in the HbA1c seen with simultaneous SGLT-2i and GLP-1RA therapy was a result of higher baseline HbA1c and not the effect of initiating combination *** number of patients achieving FPG below 7.0 mmol/L was significantly higher in the SGLT-2i group(P=0.021),and 5%weight loss was dominantly achieved in the simultaneous therapy group(P=0.044).A composite outcome(reduction of HbA1c below 7%(53 mmol/mol)with 5%weight loss)was achieved in 32.3%of total patients included in the *** 18.2%of patients attained composite outc

关键词： Sodium/glucose cotransporter-2 inhibitors Glucagon-like-1 receptor agonists Type 2 diabetes mellitus Body weight Glycemic control Cardiovascular complications

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Measurement of the integrated luminosity of data samples collected during 2019-2022 by the Belle Ⅱ experiment

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Chinese Physics C 2025年第1期49卷 7-18页

作者： I.Adachi L.Aggarwal H.Ahmed J.K.Ahn H.Aihara N.Akopov A.Aloisio N.Althubiti N.Anh Ky D.M.Asner H.Atmacan T.Aushev V.Aushev M.Aversano R.Ayad V.Babu H.Bae S.Bahinipati P.Bambade Sw.Banerjee M.Barrett J.Baudot A.Baur A.Beaubien F.Becherer J.Becker J.V.Bennett F.U.Bernlochner V.Bertacchi M.Bertemes E.Bertholet M.Bessner S.Bettarini B.Bhuyan F.Bianchi L.Bierwirth T.Bilka D.Biswas A.Bobrov D.Bodrov J.Borah A.Boschetti a.bozek P.Branchini T.E.Browder A.Budano S.Bussino Q.Campagna M.Campajola L.Cao G.Casarosa C.Cecchi J.Cerasoli M.-C.Chang P.Chang R.Cheaib P.Cheema B.G.Cheon K.Chilikin K.Chirapatpimol H.-E.Cho K.Cho S.-J.Cho S.-K.Choi S.Choudhury J.Cochran L.Corona J.X.Cui S.Das E.De La Cruz-Burelo S.A.De La Motte G.de Marino G.De Nardo G.De Pietro R.de Sangro M.Destefanis S.Dey R.Dhamija A.Di Canto F.Di Capua J.Dingfelder Z.Doležal I.Domínguez Jiménez T.V.Dong K.Dort D.Dossett S.Dubey K.Dugic G.Dujany P.Ecker D.Epifanov J.Eppelt P.Feichtinger T.Ferber T.Fillinger C.Finck G.Finocchiaro A.Fodor F.Forti A.Frey B.G.Fulsom A.Gabrielli E.Ganiev M.Garcia-Hernandez R.Garg G.Gaudino V.Gaur A.Gaz A.Gellrich G.Ghevondyan D.Ghosh H.Ghumaryan G.Giakoustidis R.Giordano A.Giri P.Gironella B.Gobbo R.Godang O.Gogota P.Goldenzweig W.Gradl E.Graziani D.Greenwald Z.Gruberová T.Gu K.Gudkova I.Haide S.Halder Y.Han K.Hara T.Hara C.Harris K.Hayasaka H.Hayashii S.Hazra C.Hearty M.T.Hedges A.Heidelbach I.Heredia de la Cruz M.Hernández Villanueva T.Higuchi M.Hoek M.Hohmann R.Hoppe P.Horak C.-L.Hsu T.Humair T.Iijima K.Inami N.Ipsita A.Ishikawa R.Itoh M.Iwasaki W.W.Jacobs D.E.Jaffe E.-J.Jang Q.P.Ji S.Jia Y.Jin A.Johnson K.K.Joo H.Junkerkalefeld M.Kaleta D.Kalita J.Kandra K.H.Kang G.Karyan T.Kawasaki F.Keil C.Kiesling C.-H.Kim D.Y.Kim J.-Y.Kim K.-H.Kim Y.-K.Kim Y.J.Kim H.Kindo K.Kinoshita P.Kodyš T.Koga S.Kohani K.Kojima A.Korobov S.Korpar E.Kovalenko R.Kowalewski P.Križan P.Krokovny T.Kuhr R.Kumar K.Kumara A.Kuzmin Y.-J.Kwon S.Lacaprara Y.-T.Lai K.Lalwani T.Lam L.Lanceri J.S.Lange M.Laurenza K.Lautenbach R.Leboucher M.J.Lee C.Lemettais P.Leo D.Lev 不详

series of data samples was collected with the Belle Ⅱ detector at the SuperKEKB collider from March 2019 to June *** determine the integrated luminosities of these data samples using three distinct methodologies involving Bhabha(e^(+)e^(-)→e^(+)e^(-)(ny),digamma(e^(+)e^(-)→γγ(nγ),and dimuon(e^(+)e^(-)→μ^(+)μ^(-)(nγ)*** total integrated luminosity obtained with Bhabha,digamma,and dimuon events is(426.88±0.03±2.61)fb^(-1),(429.28±0.03±2.62)fb^(-1),and(423.99±0.04±3.83)fb^(-1),where the first uncertainties are statistical and the second are *** resulting total integrated luminosity obtained from the combination of the three methods is(427.87±2.01)fb^(-1).

关键词： integrated luminosity Bhabha digamma dimuon BelleⅡ

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Measurement of the integrated luminosity of the Phase 2 data of the Belle Ⅱ experiment

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Chinese Physics C 2020年第2期44卷 1-12页

作者： F.Abudinén I.Adachi P.Ahlburg H.Aihara N.Akopov A.Aloisio F.Ameli L.Andricek N.Anh Ky D.M.Asner H.Atmacan T.Aushev V.Aushev T.Aziz K.Azmi V.Babu S.Baehr S.Bahinipati A.M.Bakich P.Bambade Sw.Banerjee S.Bansal V.Bansal M.Barrett J.Baudot A.Beaulieu J.Becker P.K.Behera J.V.Bennett E.Bernieri F.U.Bernlochner M.Bertemes M.Bessner S.Bettarini V.Bhardwaj F.Bianchi T.Bilka S.Bilokin D.Biswas G.Bonvicini a.bozek M.Bračko P.Branchini N.Braun T.E.Browder A.Budano S.Bussino M.Campajola L.Cao G.Casarosa C.Cecchi D.Červenkov M.-C.Chang P.Chang R.Cheaib V.Chekelian Y.Q.Chen Y.-T.Chen B.G.Cheon K.Chilikin H.-E.Cho K.Cho S.Cho S.-K.Choi S.Choudhury D.Cinabro L.Corona L.M.Cremaldi S.Cunliffe T.Czank F.Dattola E.De La Cruz-Burelo G.De Nardo M.De Nuccio G.De Pietro R.de Sangro M.Destefanis S.Dey A.De Yta-Hernandez F.Di Capua S.Di Carlo J.Dingfelder Z.Doležal I.Domínguez Jiménez T.V.Dong K.Dort S.Dubey S.Duell S.Eidelman M.Eliachevitch T.Ferber D.Ferlewicz G.Finocchiaro S.Fiore A.Fodor F.Forti A.Frey B.G.Fulsom M.Gabriel E.Ganiev M.Garcia-Hernandez R.Garg A.Garmash V.Gaur A.Gaz U.Gebauer A.Gellrich J.Gemmler T.Geßler R.Giordano A.Giri B.Gobbo R.Godang P.Goldenzweig B.Golob P.Gomis P.Grace W.Gradl E.Graziani D.Greenwald C.Hadjivasiliou S.Halder K.Hara T.Hara O.Hartbrich K.Hayasaka H.Hayashii C.Hearty M.T.Hedges I.Heredia de la Cruz M.Hernández Villanueva A.Hershenhorn T.Higuchi E.C.Hill H.Hirata M.Hoek S.Hollitt T.Hotta C.-L.Hsu Y.Hu K.Huang T.Iijima K.Inami G.Inguglia J.Irakkathil Jabbar A.Ishikawa R.Itoh M.Iwasaki Y.Iwasaki S.Iwata P.Jackson W.W.Jacobs D.E.Jaffe E.-J.Jang H.B.Jeon S.Jia Y.Jin C.Joo J.Kahn H.Kakuno A.B.Kaliyar G.Karyan Y.Kato T.Kawasaki H.Kichimi C.Kiesling B.H.Kim C.-H.Kim D.Y.Kim S.-H.Kim Y.K.Kim Y.Kim T.D.Kimmel K.Kinoshita C.Kleinwort B.Knysh P.Kodyš T.Koga I.Komarov T.Konno S.Korpar D.Kotchetkov N.Kovalchuk T.M.G.Kraetzschmar P.Križan R.Kroeger J.F.Krohn P.Krokovny W.Kuehn T.Kuhr M.Kumar R.Kumar K.Kumara S.Kurz A.Kuzmin Y.-J.Kwon S.Lacaprara Y.-T.Lai C.La Licata K.Lalwani L.Lanceri J.S.Lange K.Lautenbach I.-S.Le Beihang University Beijing 100191 Brookhaven National Laboratory UptonNew York 11973 Budker Institute of Nuclear Physics SB RAS Novosibirsk 630090 Centro de Investigacion y de Estudios Avanzados del Instituto Politecnico Nacional Mexico City 07360 Faculty of Mathematics and Physics Charles University12116 Prague Chiba University Chiba 263-8522 Consejo Nacional de Ciencia y Tecnología Mexico City 03940 Deutsches Elektronen–Synchrotron 22607 Hamburg Duke University DurhamNorth Carolina 27708 Earthquake Research Institute University of TokyoTokyo 113-0032 Forschungszentrum Jülich 52425 Jülich Department of Physics Fu Jen Catholic UniversityTaipei 24205 Key Laboratory of Nuclear Physics and Ion-beam Application(MOE)and Institute of Modern Physics Fudan UniversityShanghai 200443 II.Physikalisches Institut Georg-August-Universität Göttingen37073 Göttingen Gifu University Gifu 501-1193 The Graduate University for Advanced Studies(SOKENDAI) Hayama 240-0193 Gyeongsang National University Jinju 52828 Department of Physics and Institute of Natural Sciences Hanyang UniversitySeoul 04763 High Energy Accelerator Research Organization(KEK) Tsukuba 305-0801 J-PARC Branch KEK Theory CenterHigh Energy Accelerator Research Organization(KEK)Tsukuba 305-0801 Indian Institute of Science Education and Research Mohali SAS Nagar140306 Indian Institute of Technology Bhubaneswar Satya Nagar 751007 Indian Institute of Technology Hyderabad Telangana 502285 Indian Institute of Technology Madras Chennai 600036 Indiana University BloomingtonIndiana 47408 Institute for High Energy Physics Protvino 142281 Institute of High Energy Physics Vienna 1050 Institute of High Energy Physics Chinese Academy of SciencesBeijing 100049 Institute of Particle Physics(Canada) VictoriaBritish Columbia V8W 2Y2 Institute of Physics Hanoi Instituto de Fisica Corpuscular Paterna 46980 INFN Laboratori Nazionali di Frascati I-00044 Frascati INFN Sezione di Napoli I-80126 Napoli INFN Sezione di Padova I-35131 Padova INFN Sezione di Perugia I-06123 Perugia

From April to July 2018,a data sample at the peak energy of the T(4 S) resonance was collected with the Belle Ⅱ detector at the SuperKEKB electron-positron *** is the first data sample of the Belle Ⅱ *** Bhabha and digamma events,we measure the integrated luminosity of the data sample to be(496.3±0.3±3.0) pb-1,where the first uncertainty is statistical and the second is *** work provides a basis for future luminosity measurements at Belle Ⅱ.

关键词： luminosity Bhabha digamma Belle II

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