Refinements of quantum Hermite-Hadamard-type inequalities

In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.

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Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 19; no. 1; pp. 724 - 734
Main Authors Budak, Hüseyin, Khan, Sundas, Ali, Muhammad Aamir, Chu, Yu-Ming
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 30.07.2021
De Gruyter Poland
Subjects
26A51
26D10
26D15
convex function
Hermite-Hadamard inequality
Inequalities
integral
q-integral
quantum calculus
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Summary:In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:2391-5455
2391-5455
DOI:10.1515/math-2021-0029