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 and , we establish some quantum Ostrowski inequalities for twice quantum differentiable mappings involving and -quantum integrals. The results presented here are the generalizati...

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Published inOpen mathematics (Warsaw, Poland) Vol. 19; no. 1; pp. 440 - 449
Main Authors Ali, Muhammad Aamir, Budak, Hüseyin, Akkurt, Abdullah, Chu, Yu-Ming
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 01.06.2021
De Gruyter Poland
Subjects
26-xx
convex function
Convexity
Inequalities
integral
Ostrowski inequality
q-integral
quantum calculus
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Summary:In this paper, we first prove an identity for twice quantum differentiable functions. Then, by utilizing the convexity of and , we establish some quantum Ostrowski inequalities for twice quantum differentiable mappings involving and -quantum integrals. The results presented here are the generalization of already published ones.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:2391-5455
2391-5455
DOI:10.1515/math-2021-0020