New integral mean estimates for polynomials

New integral mean estimates for polynomials

In this paper we prove someLP inequalities for polynomials, wherep is any positive number. They are related to earlier inequalities due to A Zygmund, N G De Bruijn, V V Arestov, etc. A generalization of a polynomial inequality concerning self-inversive polynomials, is also obtained.

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Veröffentlicht in:Proceedings of the Indian Academy of Sciences. Mathematical sciences 1999-02, Vol.109 (1), p.65-74
Hauptverfasser: Aziz, Abdul, Rather, Nisar Ahmad
Format: Artikel
Sprache:eng
Schlagworte:
Inequalities
Polynomials
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Zusammenfassung:In this paper we prove someLP inequalities for polynomials, wherep is any positive number. They are related to earlier inequalities due to A Zygmund, N G De Bruijn, V V Arestov, etc. A generalization of a polynomial inequality concerning self-inversive polynomials, is also obtained.
ISSN:0253-4142
0973-7685
DOI:10.1007/BF02837768