New Inequalities of Hermite-Hadamard Type for n-Times Differentiable s-Convex Functions with Applications

New Inequalities of Hermite-Hadamard Type for n-Times Differentiable s-Convex Functions with Applications

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In this paper, some new inequalities Hermite-Hadamard type are obtained for functions whose nth derivatives in absolute value are s-convex functions. From our results, several inequalities of Hermite-Hadamard type can be derived in terms of functions whose first and second derivatives in absolute va...

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Main Authors: Muhammad Amer Latif, Sever S. Dragomir, Ebrahim Momoniat
Format: Article
Language:English
Published: Etamaths Publishing 2017-03-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1038
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spelling doaj-454c520f7faf4c93a244c1b70bf02c2b2021-08-26T13:44:37ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392017-03-01132119131221New Inequalities of Hermite-Hadamard Type for n-Times Differentiable s-Convex Functions with ApplicationsMuhammad Amer Latif0Sever S. Dragomir1Ebrahim Momoniat2School of Computer Science and Applied MathematicsSchool of Engineering and Science, Victoria UniversitySchool of Computer Science and Applied MathematicsIn this paper, some new inequalities Hermite-Hadamard type are obtained for functions whose nth derivatives in absolute value are s-convex functions. From our results, several inequalities of Hermite-Hadamard type can be derived in terms of functions whose first and second derivatives in absolute value are s-convex functions as special cases. Our results may provide refinements of some results already exist in literature. Applications to trapezoidal rule and to special means of established results are given.http://etamaths.com/index.php/ijaa/article/view/1038
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Amer Latif
Sever S. Dragomir
Ebrahim Momoniat
spellingShingle Muhammad Amer Latif
Sever S. Dragomir
Ebrahim Momoniat
New Inequalities of Hermite-Hadamard Type for n-Times Differentiable s-Convex Functions with Applications
International Journal of Analysis and Applications
author_facet Muhammad Amer Latif
Sever S. Dragomir
Ebrahim Momoniat
author_sort Muhammad Amer Latif
title New Inequalities of Hermite-Hadamard Type for n-Times Differentiable s-Convex Functions with Applications
title_short New Inequalities of Hermite-Hadamard Type for n-Times Differentiable s-Convex Functions with Applications
title_full New Inequalities of Hermite-Hadamard Type for n-Times Differentiable s-Convex Functions with Applications
title_fullStr New Inequalities of Hermite-Hadamard Type for n-Times Differentiable s-Convex Functions with Applications
title_full_unstemmed New Inequalities of Hermite-Hadamard Type for n-Times Differentiable s-Convex Functions with Applications
title_sort new inequalities of hermite-hadamard type for n-times differentiable s-convex functions with applications
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2017-03-01
description In this paper, some new inequalities Hermite-Hadamard type are obtained for functions whose nth derivatives in absolute value are s-convex functions. From our results, several inequalities of Hermite-Hadamard type can be derived in terms of functions whose first and second derivatives in absolute value are s-convex functions as special cases. Our results may provide refinements of some results already exist in literature. Applications to trapezoidal rule and to special means of established results are given.
url http://etamaths.com/index.php/ijaa/article/view/1038
work_keys_str_mv AT muhammadamerlatif newinequalitiesofhermitehadamardtypeforntimesdifferentiablesconvexfunctionswithapplications
AT seversdragomir newinequalitiesofhermitehadamardtypeforntimesdifferentiablesconvexfunctionswithapplications
AT ebrahimmomoniat newinequalitiesofhermitehadamardtypeforntimesdifferentiablesconvexfunctionswithapplications
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