Bernstein-type inequalities for certain class of meromorphic functions

被引：0

作者：

Mir, Abdullah ^{[1
]}

Wani, Ajaz ^{[1
]}

机构：

[1] Univ Kashmir, Dept Math, Srinagar 190006, Jammu & Kashmir, India

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2019年 / 68卷 / 03期

关键词：

Rational functions; Polynomials; Bernstein inequality; Blaschke product;

D O I：

10.1007/s12215-018-0378-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we shall obtain some Bernstein-type inequalities for certain class of meromorphic functions with restricted zeros and prescribed poles. Our results extend some well known polynomial inequalities to a class of rational functions.

引用

页码：579 / 588

页数：10

共 50 条

[21] BERNSTEIN-TYPE INEQUALITIES FOR THE DERIVATIVES OF CONSTRAINED POLYNOMIALS
ERDELYI, T
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 112 (03) : 829 - 838
[22] A Class of Trigonometric Bernstein-Type Basis Functions with Four Shape Parameters
Zhu, Yuanpeng
Liu, Zhuo
MATHEMATICAL PROBLEMS IN ENGINEERING, 2019, 2019
[23] APPROXIMATION OF FUNCTIONS BY A BERNSTEIN-TYPE OPERATOR
PETHE, SP
JAIN, GC
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1972, 15 (04): : 551 - 557
[24] Bernstein-type inequalities for a polynomial not vanishing in a disk
Mir, Abdullah
Ahmad, Firdose
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023,
[25] On Bernstein-type inequalities for polynomials with restricted zeros
Mudassir A. Bhat
Ravinder Kumar
S. Gulzar
The Journal of Analysis, 2023, 31 (4) : 2603 - 2611
[26] Improving certain Bernstein-type approximation processes
Cardenas-Morales, D.
Munoz-Delgado, F. J.
MATHEMATICS AND COMPUTERS IN SIMULATION, 2008, 77 (2-3) : 170 - 178
[27] BERNSTEIN-TYPE APPROXIMATION OF SMOOTH FUNCTIONS
Pallini, Andrea
STATISTICA, 2005, 65 (02) : 168 - 191
[28] A Bernstein-type inequality for algebraic functions
Brudnyi, A
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1997, 46 (01) : 93 - 116
[29] On certain best constants for Bernstein-type operators
de la Cal, J
Cárcamo, J
JOURNAL OF APPROXIMATION THEORY, 2001, 113 (02) : 189 - 206
[30] Some compact generalizations of Bernstein-type inequalities for polynomials
Aziz, A
Rather, NA
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2004, 7 (03): : 393 - 403

← 1 2 3 4 5 →