Some Inequalities for Rational Functions with Fixed Poles

Some Inequalities for Rational Functions with Fixed Poles

By using lemmas of Dubinin and Osserman some results for rational functions with fixed poles and restricted zeros are proved. The obtained results strengthen some known results for rational functions and, in turn, produce refinements of some polynomial inequalities as well.

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Veröffentlicht in:Journal of contemporary mathematical analysis 2020-03, Vol.55 (2), p.105-114
1. Verfasser: Mir, Abdullah
Format: Artikel
Sprache:eng
Schlagworte:
Inequalities
Mathematical analysis
Mathematics
Mathematics and Statistics
Polynomials
Rational functions
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Beschreibung
Zusammenfassung:By using lemmas of Dubinin and Osserman some results for rational functions with fixed poles and restricted zeros are proved. The obtained results strengthen some known results for rational functions and, in turn, produce refinements of some polynomial inequalities as well.
ISSN:1068-3623
1934-9416
DOI:10.3103/S1068362320020077