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Title: | Inequalities Pertaining to Rational Functions with Prescribed Poles |
Authors: | Rather, N. A. Wani, M. Sh. Dar, I. |
Issue Date: | 2022 |
Publisher: | N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences Ural Federal University named after the first President of Russia B.N. Yeltsin |
Citation: | Rather N. A. Inequalities Pertaining to Rational Functions with Prescribed Poles / N. A. Rather, M. Sh. Wani, I. Dar. — Text : electronic // Ural Mathematical Journal. — 2022. — Volume 8. — № 1. — P. 143-152. |
Abstract: | Let ℜn be the set of all rational functions of the type r(z) = p(z)∕w(z), where p(z) is a polynomial of degree at most n and w(z) = ∏ j=1n(z - aj), |aj| > 1 for 1 ≤ j ≤ n. In this paper, we set up some results for rational functions with fixed poles and restricted zeros. The obtained results bring forth generalizations and refinements of some known inequalities for rational functions and in turn produce generalizations and refinements of some polynomial inequalities as well. |
Keywords: | RATIONAL FUNCTIONS POLYNOMIALS INEQUALITIES |
URI: | http://elar.urfu.ru/handle/10995/122279 |
Access: | Creative Commons Attribution License |
License text: | https://creativecommons.org/licenses/by/4.0/ |
RSCI ID: | 50043149 |
ISSN: | 2414-3952 |
DOI: | 10.15826/umj.2022.2.012 |
Origin: | Ural Mathematical Journal. 2022. Volume 8. № 2 |
Appears in Collections: | Ural Mathematical Journal |
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