Some new scales of refined jensen and hardy type inequalities

S. Abramovich; L. E. Persson; N. Samko

doi:10.7153/mia-17-82

Some new scales of refined jensen and hardy type inequalities

S. Abramovich, L. E. Persson, N. Samko

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Some scales of refined Jensen and Hardy type inequalities are derived and discussed. The key object in our technique is ? -quasiconvex functions K(x) defined by K(x)x-? =? (x) , where Φ is convex on [0,b) , 0 < b > ∞ and γ > 0.

Original language	English
Pages (from-to)	1105-1114
Number of pages	10
Journal	Mathematical Inequalities and Applications
Volume	17
Issue number	3
DOIs	https://doi.org/10.7153/mia-17-82
State	Published - Jul 2014

Keywords

Convex functions
Inequalities
Refined Hardy type inequalities
Refined Jensen type inequalities
γ -quasiconvex functions

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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abstract = "Some scales of refined Jensen and Hardy type inequalities are derived and discussed. The key object in our technique is ? -quasiconvex functions K(x) defined by K(x)x-? =? (x) , where Φ is convex on [0,b) , 0 < b > ∞ and γ > 0.",

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KW - Inequalities

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KW - γ -quasiconvex functions

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Some new scales of refined jensen and hardy type inequalities

Abstract

Keywords

ASJC Scopus subject areas

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