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

[1] Bernstein-type inequalities for certain class of meromorphic functions
Abdullah Mir
Ajaz Wani
Rendiconti del Circolo Matematico di Palermo Series 2, 2019, 68 : 579 - 588
[2] Bernstein-Type Integral Inequalities for a Certain Class of Polynomials
Abdullah Mir
Mediterranean Journal of Mathematics, 2019, 16
[3] Bernstein-Type Integral Inequalities for a Certain Class of Polynomials
Mir, Abdullah
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (06)
[4] Bernstein-Type Integral Inequalities for a Certain Class of Polynomials-II
Abdullah Mir
Abrar Ahmad
Mediterranean Journal of Mathematics, 2020, 17
[5] Bernstein-Type Integral Inequalities for a Certain Class of Polynomials-II
Mir, Abdullah
Ahmad, Abrar
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (06)
[6] Certain Bernstein-type Lp inequalities for polynomials
Rather, N. A.
Bhat, Aijaz
Gulzar, Suhail
ACTA SCIENTIARUM MATHEMATICARUM, 2023, 89 (3-4): : 545 - 557
[7] New Integral Norm Estimates of Bernstein-Type Inequalities for a Certain Class of Polynomials
Mir, Abdullah
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2020, 51 (04): : 1357 - 1371
[8] On a Class of Bernstein-Type Rational Functions
Agratini, Octavian
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2020, 41 (04) : 483 - 494
[9] New Integral Norm Estimates of Bernstein-Type Inequalities for a Certain Class of Polynomials
Abdullah Mir
Indian Journal of Pure and Applied Mathematics, 2020, 51 : 1357 - 1371
[10] Bernstein-type inequalities
Totik, Vilmos
JOURNAL OF APPROXIMATION THEORY, 2012, 164 (10) : 1390 - 1401

← 1 2 3 4 5 →