Some New Quantum Hermite-Hadamard Inequalities for Co-Ordinated Convex Functions

Wannalookkhee, Fongchan; Nonlaopon, Kamsing; Ntouyas, Sotiris; Sarikaya, Mehmet; Budak, HÜSEYİN; Ali, Muhammad

doi:10.3390/math10121962

Some New Quantum Hermite-Hadamard Inequalities for Co-Ordinated Convex Functions

Wannalookkhee F., Nonlaopon K., Ntouyas S. K., Sarikaya M. Z., Budak H., Ali M. A.

MATHEMATICS, vol.10, no.12, 2022 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 10 Issue: 12
Publication Date: 2022
Doi Number: 10.3390/math10121962
Journal Name: MATHEMATICS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
Kocaeli University Affiliated: No

Abstract

In this paper, we establish some new versions of Hermite-Hadamard type inequalities for co-ordinated convex functions via q(1),q(2)-integrals. Since the inequalities are newly proved, we therefore consider some examples of co-ordinated convex functions and show their validity for particular choices of q(1),q(2) is an element of(0,1). We hope that the readers show their interest in these results.