Montgomery identity and Ostrowski-type inequalities via quantum calculus

In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus. Moreover, we discuss several special cases of newly established inequalities and obtain different new and existing inequalities in...

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Main Authors:	Sitthiwirattham Thanin, Ali Muhammad Aamir, Budak Huseyin, Abbas Mujahid, Chasreechai Saowaluck
Format:	article
Language:	EN
Published:	De Gruyter 2021
Subjects:	ostrowski inequalities q-integral quantum calculus integral inequalities difference operators convex functions 26a51 26d15 26d10 Mathematics QA1-939
Online Access:	https://doaj.org/article/4edf6e2e4abd4a498193c54cf980d0e1
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spelling	oai:doaj.org-article:4edf6e2e4abd4a498193c54cf980d0e12021-12-05T14:10:53ZMontgomery identity and Ostrowski-type inequalities via quantum calculus2391-545510.1515/math-2021-0088https://doaj.org/article/4edf6e2e4abd4a498193c54cf980d0e12021-09-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0088https://doaj.org/toc/2391-5455In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus. Moreover, we discuss several special cases of newly established inequalities and obtain different new and existing inequalities in the field of integral inequalities.Sitthiwirattham ThaninAli Muhammad AamirBudak HuseyinAbbas MujahidChasreechai SaowaluckDe Gruyterarticleostrowski inequalitiesq-integralquantum calculusintegral inequalitiesdifference operatorsconvex functions26a5126d1526d10MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 1098-1109 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	ostrowski inequalities q-integral quantum calculus integral inequalities difference operators convex functions 26a51 26d15 26d10 Mathematics QA1-939
spellingShingle	ostrowski inequalities q-integral quantum calculus integral inequalities difference operators convex functions 26a51 26d15 26d10 Mathematics QA1-939 Sitthiwirattham Thanin Ali Muhammad Aamir Budak Huseyin Abbas Mujahid Chasreechai Saowaluck Montgomery identity and Ostrowski-type inequalities via quantum calculus
description	In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus. Moreover, we discuss several special cases of newly established inequalities and obtain different new and existing inequalities in the field of integral inequalities.
format	article
author	Sitthiwirattham Thanin Ali Muhammad Aamir Budak Huseyin Abbas Mujahid Chasreechai Saowaluck
author_facet	Sitthiwirattham Thanin Ali Muhammad Aamir Budak Huseyin Abbas Mujahid Chasreechai Saowaluck
author_sort	Sitthiwirattham Thanin
title	Montgomery identity and Ostrowski-type inequalities via quantum calculus
title_short	Montgomery identity and Ostrowski-type inequalities via quantum calculus
title_full	Montgomery identity and Ostrowski-type inequalities via quantum calculus
title_fullStr	Montgomery identity and Ostrowski-type inequalities via quantum calculus
title_full_unstemmed	Montgomery identity and Ostrowski-type inequalities via quantum calculus
title_sort	montgomery identity and ostrowski-type inequalities via quantum calculus
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/4edf6e2e4abd4a498193c54cf980d0e1
work_keys_str_mv	AT sitthiwiratthamthanin montgomeryidentityandostrowskitypeinequalitiesviaquantumcalculus AT alimuhammadaamir montgomeryidentityandostrowskitypeinequalitiesviaquantumcalculus AT budakhuseyin montgomeryidentityandostrowskitypeinequalitiesviaquantumcalculus AT abbasmujahid montgomeryidentityandostrowskitypeinequalitiesviaquantumcalculus AT chasreechaisaowaluck montgomeryidentityandostrowskitypeinequalitiesviaquantumcalculus
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Montgomery identity and Ostrowski-type inequalities via quantum calculus

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