On Hermite-Hadamard type inequalities for newly defined generalized quantum integrals


Kara H., Budak H.

RICERCHE DI MATEMATICA, vol.73, no.2, pp.1145-1166, 2024 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 73 Issue: 2
  • Publication Date: 2024
  • Doi Number: 10.1007/s11587-021-00662-5
  • Journal Name: RICERCHE DI MATEMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.1145-1166
  • Kocaeli University Affiliated: No

Abstract

In this paper, we first introduce four new generalized quantum integrals of two variables functions which are called T-q-integrals. We also give some examples of each of these given integrals. Then we establish corresponding T-q-Hermite-Hadamard type inequalities for co-ordinated convex functions. In order to show correctness of our results, we apply our main theorems to several co-ordinated convex functions.