On some new quantum trapezoid-type inequalities for <i>q</i>-differentiable coordinated convex functions

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

JOURNAL OF INEQUALITIES AND APPLICATIONS, vol.2023, no.1, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2023 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.1186/s13660-023-02917-1
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Kocaeli University Affiliated: No

Abstract

In this paper, we establish several new inequalities for q-differentiable coordinated convex functions that are related to the right side of Hermite-Hadamard inequalities for coordinated convex functions. We also show that the inequalities proved in this paper generalize the results given in earlier works. Moreover, we give some examples in order to demonstrate our main results.