Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings

Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings

The author establish several Hermite-Hadamard and Simpson-like type inequalities for mappings whose first derivative in absolute value aroused to the 𝑞th (𝑞≥1) power are (𝛼,𝑚)-convex. Some applications to special means of positive real numbers are also given.

Bibliographic Details
Main Author: Jaekeun Park
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/809689
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spelling doaj-27682b01b1c04fd7b66c1790ece5c3962020-11-24T23:19:43ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/809689809689Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex MappingsJaekeun Park0Department of Mathematics, Hanseo University, Chungnam-do, Seosan-si 356-706, Republic of KoreaThe author establish several Hermite-Hadamard and Simpson-like type inequalities for mappings whose first derivative in absolute value aroused to the 𝑞th (𝑞≥1) power are (𝛼,𝑚)-convex. Some applications to special means of positive real numbers are also given.http://dx.doi.org/10.1155/2012/809689
collection DOAJ
language English
format Article
sources DOAJ
author Jaekeun Park
spellingShingle Jaekeun Park
Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings
International Journal of Mathematics and Mathematical Sciences
author_facet Jaekeun Park
author_sort Jaekeun Park
title Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings
title_short Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings
title_full Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings
title_fullStr Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings
title_full_unstemmed Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings
title_sort hermite-hadamard and simpson-like type inequalities for differentiable (𝛼,𝑚)-convex mappings
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2012-01-01
description The author establish several Hermite-Hadamard and Simpson-like type inequalities for mappings whose first derivative in absolute value aroused to the 𝑞th (𝑞≥1) power are (𝛼,𝑚)-convex. Some applications to special means of positive real numbers are also given.
url http://dx.doi.org/10.1155/2012/809689
work_keys_str_mv AT jaekeunpark hermitehadamardandsimpsonliketypeinequalitiesfordifferentiableαmconvexmappings
_version_ 1725577345164640256

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