On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions

The present paper aims to find some new midpoint-type inequalities for twice quantum differentiable convex functions. The consequences derived in this paper are unification and generalization of the comparable consequences in the literature on midpoint inequalities.

Saved in:
Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 19; no. 1; pp. 427 - 439
Main Authors Ali, Muhammad Aamir, Alp, Necmettin, Budak, Hüseyin, Chu, Yu-Ming, Zhang, Zhiyue
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 01.06.2021
De Gruyter Poland
Subjects
26A51
26D10
26D15
Convex analysis
convex function
Hermite-Hadamard inequality
Inequalities
integral
q-integral
quantum calculus
Online AccessGet full text

Cover

More Information
Summary:The present paper aims to find some new midpoint-type inequalities for twice quantum differentiable convex functions. The consequences derived in this paper are unification and generalization of the comparable consequences in the literature on midpoint inequalities.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2021-0015