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Some Sharpening and Generalizations of a Result of T. J. Rivlin

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Analysis in Theory and Applications 2017年第3期33卷 219-228页

作者： n.k.govil Eze R.nwaeze Department of Mathematics and Statistics Auburn University Department of Mathematics Tuskegee University

Let p（z） = a0＋a1z＋a2z^2＋a3z3＋…＋anz^n be a polynomial of degree n. Rivlin [12] proved that if p （z） ≠ 0 in the unit disk, then for 0 〈 r ≤ 1,max（｜r＋1｜/2）^n max｜p（z）｜.｜z｜=1In this paper, we prove a sharpening and generalization of this result and show by means of examples that for some polynomials our result can significantly improve the bound obtained by the Rivlin＇s Theorem.

关键词： Inequalities polynomials zeros.

SOME InEQUALITIES FOR POLYnOMIALS SATISFYInG p(z)=z^n p(1/z)

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Analysis in Theory and Applications 1996年第2期12卷 40-44页

作者： B.Datt n.k.govil Haryana Agricultural University IndiaAuburn University USA

Let p(z)=be a polynomial degree n and let Then accord-ing to Bernstein's inequality ||p'||<n||p||.It is a well known open problem to obtain inequality analogous to Bernstein's inequality for the class IIn of polynomia... 详细信息

Let p(z)=be a polynomial degree n and let Then accord-ing to Bernstein's inequality ||p'||n||p||.It is a well known open problem to obtain inequality analogous to Bernstein's inequality for the class IIn of polynomials satisfying p(z)≡znp(1/z)Here we obtain an inequality analogous to Bernstein's inequality for a subclass of IIn Our results include several of the known results as special cases.

关键词： SOME InEQUALITIES FOR POLYnOMIALS SATISFYInG p z~n p

SOME InEQUALITIES FOR POLYnOMIALS SATISFYInG p（z）=z~n p（1/z）

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Analysis in Theory and Applications 1996年第2期 40-44页

作者： B.Datt,n.k.govil Haryana Agricultural University India Auburn University USA

Let p(z)=be a polynomial degree n and let Then accord-ing to Bernstein's inequality ||p'||更多还原AbstractFilter('ChDivSummary', 'ChDivSummaryMore', 'ChDivSummaryReset');

关键词： SOME InEQUALITIES FOR POLYnOMIALS SATISFYInG p z~n p

An InEQUALITY FOR POLYnOMIALS WITH A PRESCRIBED ZERO

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Analysis in Theory and Applications 1994年第3期10卷 104-106页

作者： Dewan k.k. govil n.k. Jamia Millia Islamia India Auburn University. U.S.A.

Let p_n(z)=∑_(k-0)~n a_kz^k be a polynomial of degree n such that |p_n(z)|≤M for |z|≤1. It is well. known that for 0≤un, |a_u|+|a_|≤4M/π and this result is best possible. In this paper we sharpen the above ... 详细信息

关键词： polynomial inequality Statement precisely

Solar insolation driven periodicities in southwest monsoon and its impact on nE Arabian Sea paleoceanography

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Geoscience Frontiers 2019年第6期10卷 2251-2263页

作者： Syed Azharuddin Pawan govil Arun Deo Singh Ravi Mishra Mayank Shekhar Birbal Sahni Institute of Palaeosciences LucknowU.P.226007India Department of Geology Banaras Hindu UniversityVaranasi221005India national Centre for Antarctic and Ocean Research Vasco-da-GamaGoa403804India

In the northeastern(nE) Arabian Sea,the fluctuation in terrestrial and freshwater runoff directly depends on southwest monsoon(SWM) precipitation as well as the meltwater flux provided by Indus ***,analysis of multi-proxy spectral signatures was carried out to trace the high-resolution SWM periodicities and their influence on the productivity,regional sea level fluctuations and depositional processes in the nE Arabian *** time series data of stable isotopes of oxygen(δ^18 O(***)).carbon(δ^13 C(***) and δ^13 C(org)) and nitrogen(δ^15 n).Total Organic Carbon(TOC),planktic-benthic foraminiferal ratio(P/B ratio) and>63 μm coarse fraction(CF) were used from two coastal sedimentary cores located offshore Saurashtra,nE Arabian Sea(Core Sk-240/485 having 88 m water depth;Core GC/Sk-240/496 having 174 m water depth).The REDFIT based spectral analysis recorded significant periodicities(>90% significance) in δ^18 0 time series centered at^1609,~667,~525,~296,~290 and^256 ***,the significant periodicities recorded in carbon isotopes time series(δ^13 C(***) and δ^13 C(org))centered at^681,~512,~471,~452,~438,~360,~292,~275,~269,~245 and^209 *** significant periodicities in TOC include^471 and-322 years whereas δ^15 n time series recorded significant periodicity centered at-360 *** significant periodicities in P/B ratio time series centered at^512,~388,~304,~250,~235,~217,~152,~139 and^135 years while CF recorded^268,~216,~209,~198,~188,~173 and^140 years significant *** observed periodicities in the multi-proxy record consist of similar cycles(within the radiocarbon dating error) which also natch with previously reported solar insolation influenced SWM and other global and regional ***,the stationarity of the data has been verified using wavelet analysis and shows similar periodicities as observed in REDFIT ***,the depositional behaviour was studied using correlation analysis of the common

关键词： Southwest monsoon Periodicities Arabian sea Spectral analysis Foraminifera

Permeable Reactive Barrier for the treatment of contaminated surface water in katedan industrial development area, Hyderabad, India

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Chinese Journal Of Geochemistry 2006年第B8期25卷 117-118页

作者： Savitri Tripathi Vandana Parth Phani Homeshwari M. Vittal Babu n. Murthy n.n. Sorlie J.E. govil P.k. national Geophysical Research Institute Hyderabad India norwegian Geotechnical Institute Oslo Norway

Revisiting band structures in^(118)Xe nucleus via in-beamγ-ray spectroscopy

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Chinese Physics C 2023年第8期47卷 22-38页

作者： A.Pandey R.Bhushan A.Rohilla C.Majumder H.P.Sharma S.Chakraborty R.P.Singh S.Muralithar Yashraj k.katre B.Rohila Subodh A.kumar I.M.govil S.Jehangir n.Rather G.H.Bhati A.A.Wani J.A.Sheikh S.k.Chamoli Department of Physics and Astrophysics University of DelhiNew Delhi-110007India Institute of Space Sciences Shandong UniversityWeihai-264209China Department of Physics Indian Institute of Technology BombayMumbai-400076India Department of Physics Institute of ScienceBanaras Hindu UniversityVaranasi-221005India Variable Energy Cyclotron Centre Kolkata-700064India Inter University Accelerator Centre Aruna Asaf Ali MargNew Delhi-110067India Department of Physics Punjab UniversityChandigarh-160014India Department of Physics Islamic University of Science and TechnologyJammu and Kashmir-192122India Higher Education Department Government of Jammu and KashmirSrinagarJ&K-180001India Department of Physics University of KashmirSrinagar-190006India

The neutron deficient Xe nuclei with A≈120 are predicted to have strong octupole correlation at low *** the present study,an attempt was made to improve upon the level scheme and also to examine the signatures of octupole correlation in^(118)xe via high spin γ-ray *** spin states in^(118)Xe have been populated via the^(93)nb(^(28)Si,p2n)^(118)Xe fusion-evaporation reaction at a beam energy of 115 MeV provided by the 15 UD pelletron accelerator facility at IUAC,new *** the experiment,seven newγ-transitions have been found and placed appropriately in the level scheme.A theoretical study using the triaxial projected shell model(TPSM)approach suggests that the first bandcrossing is due to the alignment of two neutrons,and a parallel band tracking the yrast configuration is the γ-band built on the two-quasiparticle *** E1 transition rates measured between opposite parity bands involving vh_(11/2)and vd_(5/2)orbitals having△j=△l=3 indicate the presence of octupole correlation in this nucleus.

关键词： octupole correlation γ-ray spectroscopy TPSM calculations bandcrossing

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可修理的(m,n)系统的有效性

系统工程与电子技术 1981年第4期 7-12页

作者： k.V.Rao A.k.govil 李香林

这篇文章在单元的失效和维修服从于两个不同的指数分布的假定下,给出了估算(m,n)系统的失效间平均时间的通用方法。最后,对失效单元具有r个并行维修设备这种特殊情形,得出了MTBF的表达式。在本文结尾,对一个特定系统的m和r的不同值进行... 详细信息

这篇文章在单元的失效和维修服从于两个不同的指数分布的假定下,给出了估算(m,n)系统的失效间平均时间的通用方法。最后,对失效单元具有r个并行维修设备这种特殊情形,得出了MTBF的表达式。在本文结尾,对一个特定系统的m和r的不同值进行了计算,并将计算结果制成了表格。

关键词：常数项平均 MTBF m,n 有效性转移概率递归关系修理设备

某些高粱杂种初级和高级世代遗传参数的性质与数值的估价

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园艺与种苗 1981年第4期29卷 8-10页

作者： J.n.govil B.R.Murty B.k.Mukherjee 张文毅

最近十年间,为弄清高粱的一些主要数量性状的遗传性质,做了大量的工作。选育高产杂交种的尝试是与以雄性不育系为母本的品系的配合力研究紧密结合的。加性遗传和非加性成份以及它们的“后效应”在农艺性状上的表达,已由一些研究者做出... 详细信息

最近十年间,为弄清高粱的一些主要数量性状的遗传性质,做了大量的工作。选育高产杂交种的尝试是与以雄性不育系为母本的品系的配合力研究紧密结合的。加性遗传和非加性成份以及它们的“后效应”在农艺性状上的表达,已由一些研究者做出了报道。这些情报导致了在选育 CSH—1(1964),CSH—2(1965),CSH—3(1970),CSH—4(1970)。

关键词：配合力效应一级分枝穗长特殊配合力遗传变量遗传方差世代高粱蜀秫杂种杂交种