Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus

In this paper, we first prove an identity for twice quantum differentiable functions. Then, by utilizing the convexity of ∣Dq2bf∣| {}^{b}D_{q}^{2}\hspace{0.08em}f| and ∣Dq2af∣| {}_{a}D_{q}^{2}\hspace{0.08em}f| , we establish some quantum Ostrowski inequalities for twice quantum differentiable mappi...

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Main Authors:	Ali Muhammad Aamir, Budak Hüseyin, Akkurt Abdullah, Chu Yu-Ming
Format:	article
Language:	EN
Published:	De Gruyter 2021
Subjects:	ostrowski inequality q-integral quantum calculus convex function 26-xx Mathematics QA1-939
Online Access:	https://doaj.org/article/b74d4632ca2b4c5eb52f8fa196886a45
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spelling	oai:doaj.org-article:b74d4632ca2b4c5eb52f8fa196886a452021-12-05T14:10:52ZQuantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus2391-545510.1515/math-2021-0020https://doaj.org/article/b74d4632ca2b4c5eb52f8fa196886a452021-06-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0020https://doaj.org/toc/2391-5455In this paper, we first prove an identity for twice quantum differentiable functions. Then, by utilizing the convexity of ∣Dq2bf∣\| {}^{b}D_{q}^{2}\hspace{0.08em}f\| and ∣Dq2af∣\| {}_{a}D_{q}^{2}\hspace{0.08em}f\| , we establish some quantum Ostrowski inequalities for twice quantum differentiable mappings involving qa{q}_{a} and qb{q}^{b}-quantum integrals. The results presented here are the generalization of already published ones.Ali Muhammad AamirBudak HüseyinAkkurt AbdullahChu Yu-MingDe Gruyterarticleostrowski inequalityq-integralquantum calculusconvex function26-xxMathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 440-449 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	ostrowski inequality q-integral quantum calculus convex function 26-xx Mathematics QA1-939
spellingShingle	ostrowski inequality q-integral quantum calculus convex function 26-xx Mathematics QA1-939 Ali Muhammad Aamir Budak Hüseyin Akkurt Abdullah Chu Yu-Ming Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
description	In this paper, we first prove an identity for twice quantum differentiable functions. Then, by utilizing the convexity of ∣Dq2bf∣\| {}^{b}D_{q}^{2}\hspace{0.08em}f\| and ∣Dq2af∣\| {}_{a}D_{q}^{2}\hspace{0.08em}f\| , we establish some quantum Ostrowski inequalities for twice quantum differentiable mappings involving qa{q}_{a} and qb{q}^{b}-quantum integrals. The results presented here are the generalization of already published ones.
format	article
author	Ali Muhammad Aamir Budak Hüseyin Akkurt Abdullah Chu Yu-Ming
author_facet	Ali Muhammad Aamir Budak Hüseyin Akkurt Abdullah Chu Yu-Ming
author_sort	Ali Muhammad Aamir
title	Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
title_short	Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
title_full	Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
title_fullStr	Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
title_full_unstemmed	Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
title_sort	quantum ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/b74d4632ca2b4c5eb52f8fa196886a45
work_keys_str_mv	AT alimuhammadaamir quantumostrowskitypeinequalitiesfortwicequantumdifferentiablefunctionsinquantumcalculus AT budakhuseyin quantumostrowskitypeinequalitiesfortwicequantumdifferentiablefunctionsinquantumcalculus AT akkurtabdullah quantumostrowskitypeinequalitiesfortwicequantumdifferentiablefunctionsinquantumcalculus AT chuyuming quantumostrowskitypeinequalitiesfortwicequantumdifferentiablefunctionsinquantumcalculus
_version_	1718371651705372672

Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus

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