Some inequalities for the rational functions with prescribed poles and restricted zeros

被引：0
作者：
M. H. Gulzar
B. A. Zargar
Rubia Akhter
机构：
[1] University of Kashmir,Department of Mathematics
来源：
The Journal of Analysis | 2022年 / 30卷
关键词：
Rational functions; t-fold zeros; Polynomial inequalities; Poles; 26D07;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we establish some inequalities for rational functions with prescribed poles and restricted zeros which generalize and refine the results of Aziz and Shah.
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页码：35 / 41
页数：6
相关论文
共 11 条
[1]  
Aziz A(1988)Inequalities for polar derivative of a polynomial Journal of Approximate Theory 55 183-193
[2]  
Aziz A(2004)Some properties of rational functions with prescribed poles and restricted zeros Mathematica Balkanica 18 33-40
[3]  
Shah WM(1999)Some properties of rational functions with prescribed poles Canadian Mathematical Bulletin 42 417-426
[4]  
Aziz Abdul(1912)Sur e’ordre de la meilleure approximation des functions continues par des polynomes de degre’ donne’ Memorie Academic Royal Belgique 4 1-103
[5]  
Zargar BA(1994)Proof of conjecture of P. Erdös on the derivative of a polynomials Bulletin of the American Mathematical Society 50 509-511
[6]  
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[7]  
Lax PD(1995)Bernstein-type inequalities for rational functions with prescribed poles Journal of London Mathematics Society 20 523-531
[8]  
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