Power series inequalities related to Young's inequality and applications

Alawiah Ibrahim, Sever S. Dragomir, Maslina Darus

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

On utilizing a refinement and a reverse of Young's inequality, in this paper, we establish new inequalities for functions defined by power series with positive coefficients, which improve the famous Hölder's inequality for power series. Some applications for special functions such as polylogarithm, hypergeometric and Bessel functions are presented as well.

Original languageEnglish
Pages (from-to)700-714
Number of pages15
JournalIntegral Transforms and Special Functions
Volume24
Issue number9
DOIs
Publication statusPublished - 2013

Fingerprint

Young's Inequality
Power series
Polylogarithms
Bessel functions
Hypergeometric Functions
Bessel Functions
Special Functions
Reverse
Refinement
Coefficient

Keywords

  • Hölder's inequality
  • power series
  • special functions
  • Young's inequality

ASJC Scopus subject areas

  • Applied Mathematics
  • Analysis

Cite this

Power series inequalities related to Young's inequality and applications. / Ibrahim, Alawiah; Dragomir, Sever S.; Darus, Maslina.

In: Integral Transforms and Special Functions, Vol. 24, No. 9, 2013, p. 700-714.

Research output: Contribution to journalArticle

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