This article is cited in 5 papers

Generalizations of certain well-known inequalities for rational functions

M. Y. Mir, S. L. Wali, W. M. Shah

Department of Mathematics, Central University of Kashmir, Ganderbal-191201, India

Abstract: In this paper we generalize and refine a result of Wali and Shah concerning the estimate of the derivative of the maximum modulus of rational functions with prescribed poles and restricted zeros. The obtained results generalize and sharpen some well-known inequalities for the derivative of rational functions besides the refinement of some polynomial inequalities.

Keywords: polynomial, rational function, $s$-fold zeros, Bernstein-type inequality.

UDC: 517.53

MSC: 30A10, 30C10, 26D10

Received: 04.05.2022
Revised: 25.11.2022
Accepted: 29.11.2022

Language: English

DOI: 10.15393/j3.art.2023.11810

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