Hermite-Hadamard Type Inequalities for m-Convex and (α, m)-Convex Stochastic Processes

In this paper, the concepts of m-convex and (α, m)-convex stochastic processes are introduced. Several new inequalities of Hermite-Hadamard type for differentiable m-convex and (α, m)-convex stochastic processes are established. The results obtained in this work are the generalizations of the known...

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Main Author: Serap Ozcan
Format: Article
Language:English
Published: Etamaths Publishing 2019-09-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/1959
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author Serap Ozcan
author_facet Serap Ozcan
author_sort Serap Ozcan
collection DOAJ
description In this paper, the concepts of m-convex and (α, m)-convex stochastic processes are introduced. Several new inequalities of Hermite-Hadamard type for differentiable m-convex and (α, m)-convex stochastic processes are established. The results obtained in this work are the generalizations of the known results.
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spelling doaj.art-0972d1a5ab3a437090b356d46d31df9f2022-12-21T22:24:17ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392019-09-01175793802404Hermite-Hadamard Type Inequalities for m-Convex and (α, m)-Convex Stochastic ProcessesSerap Ozcan0Kirklareli UniversityIn this paper, the concepts of m-convex and (α, m)-convex stochastic processes are introduced. Several new inequalities of Hermite-Hadamard type for differentiable m-convex and (α, m)-convex stochastic processes are established. The results obtained in this work are the generalizations of the known results.http://www.etamaths.com/index.php/ijaa/article/view/1959
spellingShingle Serap Ozcan
Hermite-Hadamard Type Inequalities for m-Convex and (α, m)-Convex Stochastic Processes
International Journal of Analysis and Applications
title Hermite-Hadamard Type Inequalities for m-Convex and (α, m)-Convex Stochastic Processes
title_full Hermite-Hadamard Type Inequalities for m-Convex and (α, m)-Convex Stochastic Processes
title_fullStr Hermite-Hadamard Type Inequalities for m-Convex and (α, m)-Convex Stochastic Processes
title_full_unstemmed Hermite-Hadamard Type Inequalities for m-Convex and (α, m)-Convex Stochastic Processes
title_short Hermite-Hadamard Type Inequalities for m-Convex and (α, m)-Convex Stochastic Processes
title_sort hermite hadamard type inequalities for m convex and α m convex stochastic processes
url http://www.etamaths.com/index.php/ijaa/article/view/1959
work_keys_str_mv AT serapozcan hermitehadamardtypeinequalitiesformconvexandamconvexstochasticprocesses