Quantum Hermite-Hadamard type integral inequalities for convex stochastic processes

Quantum Hermite-Hadamard type integral inequalities for convex stochastic processes

In this paper, we introduce the notions of q-mean square integral for stochastic processes and co-ordinated stochastic processes. Furthermore, we establish some new quantum Hermite-Hadamard type inequalities for convex stochastic processes and co-ordinated stochastic processes via newly defined inte...

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Main Authors: Thanin Sitthiwirattham, Muhammad Aamir Ali, Hüseyin Budak, Saowaluck Chasreechai
Format: Article
Language:English
Published: AIMS Press 2021-08-01
Series:AIMS Mathematics
Subjects:
hermite-hadamard inequality
jensen inequality
convex stochastic processes
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021695?viewType=HTML
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spelling doaj-3c593195c48a4bbe8d76a10a4c348fc62021-08-31T01:29:32ZengAIMS PressAIMS Mathematics2473-69882021-08-01611119891201010.3934/math.2021695Quantum Hermite-Hadamard type integral inequalities for convex stochastic processesThanin Sitthiwirattham0Muhammad Aamir Ali1Hüseyin Budak 2Saowaluck Chasreechai 31. Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand2. Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China3. Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey4. Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, ThailandIn this paper, we introduce the notions of q-mean square integral for stochastic processes and co-ordinated stochastic processes. Furthermore, we establish some new quantum Hermite-Hadamard type inequalities for convex stochastic processes and co-ordinated stochastic processes via newly defined integrals. It is also revealed that the results presented in this research transformed into some already proved results by considering the limits as q,q1,q2→1− in the newly obtained results.https://www.aimspress.com/article/doi/10.3934/math.2021695?viewType=HTMLhermite-hadamard inequalityjensen inequalityconvex stochastic processes
collection DOAJ
language English
format Article
sources DOAJ
author Thanin Sitthiwirattham
Muhammad Aamir Ali
Hüseyin Budak
Saowaluck Chasreechai
spellingShingle Thanin Sitthiwirattham
Muhammad Aamir Ali
Hüseyin Budak
Saowaluck Chasreechai
Quantum Hermite-Hadamard type integral inequalities for convex stochastic processes
AIMS Mathematics
hermite-hadamard inequality
jensen inequality
convex stochastic processes
author_facet Thanin Sitthiwirattham
Muhammad Aamir Ali
Hüseyin Budak
Saowaluck Chasreechai
author_sort Thanin Sitthiwirattham
title Quantum Hermite-Hadamard type integral inequalities for convex stochastic processes
title_short Quantum Hermite-Hadamard type integral inequalities for convex stochastic processes
title_full Quantum Hermite-Hadamard type integral inequalities for convex stochastic processes
title_fullStr Quantum Hermite-Hadamard type integral inequalities for convex stochastic processes
title_full_unstemmed Quantum Hermite-Hadamard type integral inequalities for convex stochastic processes
title_sort quantum hermite-hadamard type integral inequalities for convex stochastic processes
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2021-08-01
description In this paper, we introduce the notions of q-mean square integral for stochastic processes and co-ordinated stochastic processes. Furthermore, we establish some new quantum Hermite-Hadamard type inequalities for convex stochastic processes and co-ordinated stochastic processes via newly defined integrals. It is also revealed that the results presented in this research transformed into some already proved results by considering the limits as q,q1,q2→1− in the newly obtained results.
topic hermite-hadamard inequality
jensen inequality
convex stochastic processes
url https://www.aimspress.com/article/doi/10.3934/math.2021695?viewType=HTML
work_keys_str_mv AT thaninsitthiwirattham quantumhermitehadamardtypeintegralinequalitiesforconvexstochasticprocesses
AT muhammadaamirali quantumhermitehadamardtypeintegralinequalitiesforconvexstochasticprocesses
AT huseyinbudak quantumhermitehadamardtypeintegralinequalitiesforconvexstochasticprocesses
AT saowaluckchasreechai quantumhermitehadamardtypeintegralinequalitiesforconvexstochasticprocesses
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