논문KCI 등재
Inequalities for a polynomial whose zeros are within or outside a given disk
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In this paper we prove some results by using a simple but elegant techniques to improve and strengthen some generalizations and refinements of two widely known polynomial inequalities and thereby deduce some useful corollaries.
Abstract
In this paper we prove some results by using a simple but elegant techniques to improve and strengthen some generalizations and refinements of two widely known polynomial inequalities and thereby deduce some useful corollaries.
참고문헌 (9)
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- V. N. Dubinin, "Applications of the Schwarz Lemma to inequalities for entire functions with constraints on zeros", J. Math. Sci.,(N.Y), 143(3), pp.3069~3076 (2007)
- V. N. Dubinin, "Distortion theorems for polynomials on the circle", Sbornik: Mathematics, 191(12), pp.1797~1807 (2000)
- P. D. Lax, "Proof of a conjecture of P. Erd¨os on the derivative of a polynomial", Bull. Amer. Math. Soc, 50, pp.509~513 (1944)
- M. A. Malik, "On the derivative of Polynomial", J. London Math. Soc., 1, pp.57~60 (1969)
- P. Tur´an, "Uber die Ableitung von Polynomen", Compositio Math, 7, pp.89~95 (1939)
- S. L. Wali, "Some applications of Dubinin’s lemma to rational functions with prescribed poles", J. Math. Anal. Appl, 450, pp.769~779 (2017)
관련 논문AI추천
Some Inequalities for Derivatives of PolynomialsGulshan Singh, Wali Mohammad Shah경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제4호Inequalities for a Polynomial and its DerivativeMohammad Syed Pukhta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호Inequalities concerning polynomial and its derivativeB. A. Zargar, M. H. Gulzar, Tawheeda Akhter강원경기수학회 · 한국수학논문집2021 · 제29권 제3호Inequalities for the derivative of polynomials with restricted zerosA. Iqbal, Ishfaq Dar, N. A. Rather강원경기수학회 · 한국수학논문집2020 · 제28권 제4호On Zeros of Polynomials with Restricted CoefficientsAb Liman, Irshad Ahmad, Tawheeda Rasool경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제4호On the growth of polynomialsB. A. Zargar, M. H. Gulzar, Rubia Akhter강원경기수학회 · 한국수학논문집2023 · 제31권 제2호
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