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Generalization of Some Inequalities to the Class of Generalized Derivative
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In this paper, we obtain some inequalities concerning the class of generalized derivative and generalized polar derivative which are analogous respectively to the ordinary derivative and polar derivative of polynomials.
Abstract
In this paper, we obtain some inequalities concerning the class of generalized derivative and generalized polar derivative which are analogous respectively to the ordinary derivative and polar derivative of polynomials
참고문헌 (9)
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- A. Aziz, "Inequalities for the derivative of a polynomial with restricted zeros", Math. Balk, 17, pp.15~28 (2003)
- V.N. Dubinin, "Application of the Schwarz lemma to inequalities for entire functions with constraints on zeros", J. Math. Sci, 143, pp.3069~3076 (2007)
- M. A. Malik, "On the derivative of a polynomial", J. Lond. Math. Soc, 1, pp.57~60 (1969)
- R. Osserman, "A sharp Schwarz inequality on the boundary", Proc. Amer. Math. Soc, 128(12), pp.3513~3517 (2000)
- N.A. Rather, "Some inequalities for polynomials with restricted zeros", Annali Dell'Univerita' Diferrara (2020)
- N. A. Rather, "On the zeros of a class of generalized derivatives", Rendiconti del Circolo Mathematico di Palermo Series, 2 (2020)
- P. Turan, "Uber die Ableitung von Polynomen", Compos. Math, 7, pp.89~95 (1939)
관련 논문AI추천
Some Inequalities for Derivatives of PolynomialsGulshan Singh, Wali Mohammad Shah경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제4호On the zeros of generalized derivative of a polynomialIrfan Ahmad Wani, Ishfaq Nazir, Mohammad Ibrahim Mir강원경기수학회 · 한국수학논문집2023 · 제31권 제1호Inequalities 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 B-operatorM. H. Gulzar, Rubia Akhter강원경기수학회 · 한국수학논문집2022 · 제30권 제3호Inequalities for a polynomial whose zeros are within or outside a given diskLubna Wali Shah, Mohd Yousf Mir, Wali Mohammad Shah강원경기수학회 · 한국수학논문집2022 · 제30권 제2호
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