Generalizations of certain well-known inequalities for rational functions

MY Mir, SL Wali, WM Shah - Проблемы анализа—Issues of Analysis, 2023 - mathnet.ru
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 …

Sharp inequalities for rational functions on a circle

VN Dubinin - Mathematical Notes, 2021 - Springer
Sharp Inequalities for Rational Functions on a Circle | Mathematical Notes Skip to main
content SpringerLink Account Menu Find a journal Publish with us Search Cart 1.Home 2.Mathematical …

Some results for classes of holomorphic functions

BN Ornek, B Catal - Gulf Journal of Mathematics, 2018 - gjom.org
In this paper, a boundary version of the Schwarz lemma for classes K (α) is investigated. For
the function f (z)= 1+ c 1 z+ c 2 z 2+... defined in the unit disc such that f (z)∈ K (α), we …

Inequalities for rational functions with prescribed poles

NA Rather, A Iqbal, I Dar - Mathematical Notes, 2023 - Springer
For rational functions, where is a polynomial of degree at the most and, with we use simple
but elegant techniques to strengthen generalizations of certain results which extend some …

Some Inequalities Involving the Derivative of Rational Functions

A Rasri, JS Phanwan - International Journal of Mathematics …, 2023 - Wiley Online Library
In this paper, we establish some inequalities involving the modulus of the derivative of
rational functions with prescribed poles and restricted zeros. The obtained results generalize …

Inequalities for a class of rational functions

MY Mir, LW Shah, WM Shah - International Journal of Nonlinear …, 2022 - ijnaa.semnan.ac.ir
In this paper, we consider a more general class of rational functions $ r (s (z)), $ of degree $
mn, $ with $ s (z) $ being a polynomial of degree $ m. $ Our results not only generalize the …

Comparison inequalities between rational functions with prescribed poles

GV Milovanović, A Mir - Revista de la Real Academia de Ciencias Exactas …, 2021 - Springer
Various versions of Bernstein and Turán-type inequalities are a classical topic in analysis.
Over a period, these inequalities have been generalized for different classes of functions …

[PDF][PDF] Inequalities for Maximum Modulus of Rational functions with Prescribed Poles

SL Wali - Kragujevac J. Math, 2023 - elib.mi.sanu.ac.rs
SL WALI1 Abstract. In this paper we prove some results concerning the rational functions
with prescribed poles and restricted zeros. These results in fact generalize or strengthen …

Inequalities for a class of meromorphic functions whose zeros are within or outside a given disk

MY Mir, SL Wali, WM Shah - Ural Mathematical Journal, 2023 - mathnet.ru
In this paper, we consider a class of meromorphic functions r (z) having an s-fold zero at the
origin and establish some inequalities of Bernstein and Turán type for the modulus of the …

IMPROVEMENT OF SOME INEQUALITIES FOR RATIONAL FUNCTIONS

MY Mir, SL Wali, WM Shah - Journal of Mathematical Sciences, 2023 - Springer
For a rational function r∈ R n, Wali and Shah (The Journal of Anal., 25 (1):(2017), 43-53)
proved the following:| r′(z)|≥ 1 2| B′(z)|+| cn|-| c 0|| cn|+| c 0|| r (z)|. In this paper, we prove …