Hermite-Hadamard Type Inequalities for Exponentially p-Convex Stochastic Processes

In this paper, the concept of exponentially 𝑝-convex stochastic process is introduced. Several new inequalities of Hermite-Hadamard type for exponentially 𝑝-convex stochastic process are established. Some special cases are given which are obtained from our main results. The results obtained in this...

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Main Author: Serap Özcan
Format: Article
Language:English
Published: Sakarya University 2019-10-01
Series:Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
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Online Access:https://dergipark.org.tr/tr/download/article-file/764625
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author Serap Özcan
author_facet Serap Özcan
author_sort Serap Özcan
collection DOAJ
description In this paper, the concept of exponentially 𝑝-convex stochastic process is introduced. Several new inequalities of Hermite-Hadamard type for exponentially 𝑝-convex stochastic process are established. Some special cases are given which are obtained from our main results. The results obtained in this work are the generalizations of the known results.
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institution Kabale University
issn 2147-835X
language English
publishDate 2019-10-01
publisher Sakarya University
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series Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
spelling doaj-art-0cd50db4afcb4e29b9ee45023b46eee12024-12-23T08:03:58ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2019-10-012351012101810.16984/saufenbilder.56104028Hermite-Hadamard Type Inequalities for Exponentially p-Convex Stochastic ProcessesSerap Özcan0https://orcid.org/0000-0001-6496-5088KIRKLARELI UNIVERSITYIn this paper, the concept of exponentially 𝑝-convex stochastic process is introduced. Several new inequalities of Hermite-Hadamard type for exponentially 𝑝-convex stochastic process are established. Some special cases are given which are obtained from our main results. The results obtained in this work are the generalizations of the known results.https://dergipark.org.tr/tr/download/article-file/764625convex stochastic processesp-convex stochastic processesexponentially p-convex stochastic processesmean-square integralhermite-hadamard type inequality
spellingShingle Serap Özcan
Hermite-Hadamard Type Inequalities for Exponentially p-Convex Stochastic Processes
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
convex stochastic processes
p-convex stochastic processes
exponentially p-convex stochastic processes
mean-square integral
hermite-hadamard type inequality
title Hermite-Hadamard Type Inequalities for Exponentially p-Convex Stochastic Processes
title_full Hermite-Hadamard Type Inequalities for Exponentially p-Convex Stochastic Processes
title_fullStr Hermite-Hadamard Type Inequalities for Exponentially p-Convex Stochastic Processes
title_full_unstemmed Hermite-Hadamard Type Inequalities for Exponentially p-Convex Stochastic Processes
title_short Hermite-Hadamard Type Inequalities for Exponentially p-Convex Stochastic Processes
title_sort hermite hadamard type inequalities for exponentially p convex stochastic processes
topic convex stochastic processes
p-convex stochastic processes
exponentially p-convex stochastic processes
mean-square integral
hermite-hadamard type inequality
url https://dergipark.org.tr/tr/download/article-file/764625
work_keys_str_mv AT serapozcan hermitehadamardtypeinequalitiesforexponentiallypconvexstochasticprocesses