Some Inequalities For Self-Inversive Rational Functions With Prescribed Poles

Abdullah Mir

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Some Inequalities For Self-Inversive Rational Functions With Prescribed Poles

机译：具有规定杆的自我反向合理职能的一些不等式

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摘要

We establish some inequalities for self-inversive rational functions with prescribed poles in the sup-norm on the unit circle in the complex plane. Generalizations of polynomial inequalities of Malik and O'Hara and Rodriguez are obtained for such rational functions.

机译：我们在复杂平面中单位圆上的Sup-Norm中具有规定极点的自我反向合理功能的一些不等式。获得MALIK和O'Hara和Rodriguez的多项式不等式的概括对于这种合理的功能。

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《Publications de l Institut Mathématique》 |2020年第121期|共8页
作者
Abdullah Mir;
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rational functionpolynomialpoleszeros;

机译：Rational FunctionPolynomialpoleszers.;

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专利

1. DIFFERENTIAL INEQUALITIES FOR ENTIRE FUNCTIONS OF FINITE DEGREE AND RATIONAL FUNCTIONS WITH PRESCRIBED POLES [J] . A. V. Olesov Siberian Mathematical Journal . 2010,第6期

机译：带有规定极点的有限度和有理函数的整函数的微分不等式
2. Some inequalities for rational functions with prescribed poles [J] . Zargar B. A., Gulzar M. H., Akhter Tawheeda Advances in Inequalities and Applications . 2021,第a期

机译：具有规定杆的合理职能的一些不等式
3. Inequalities for the rational functions with prescribed poles and restricted zeros [J] . Zargar B. A., Gulzar M. H., Akhter Rubia Advances in Inequalities and Applications . 2021,第a期

机译：具有规定杆和限制零的合理职能的不等式
4. SYNTHESIS OF COMPLETE ORTHONORMAL FRACTIONAL BASIS FUNCTIONS WITH PRESCRIBED POLES [C] . Huseyin Akcay IFAC Symposium on Nonlinear Control Systems . 2009

机译：用规定杆合成完整的正式分数基函数
5. An Exponential Time Differencing Scheme with a Real Distinct Poles Rational Function for Advection-Diffusion-Reactions systems. [D] . Asante-Asamani, Emmanuel. 2016

机译：对流-扩散-反应系统具有实极点有理函数的指数时差方案。
6. NOTE ON DEGREE OF APPROXIMATION TO ANALYTIC FUNCTIONS BY RATIONAL FUNCTIONS WITH PREASSIGNED POLES [O] . J. L. Walsh 1956

机译：关于带预分配极点的有理函数的逼近解析函数的程度的注
7. Some inequalities for self-inversive rational functions with prescribed poles [O] . Abdullah Mir 2020

机译：具有规定杆的自我反向合理职能的一些不等式
8. Note on Degree of Approximation to Analytic Functions by Rational Functions with Preassigned Poles [R] . J. L. Walsh 1956

机译：关于具有预分配极点的有理函数的解析函数逼近度的注记

Some Inequalities For Self-Inversive Rational Functions With Prescribed Poles

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