Some general quantum integral inequalities for convex functions

Baidar A. W., KUNT M.

FILOMAT, vol.38, no.14, pp.5127-5140, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 14
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2414127b
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5127-5140
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, based on a new quantum analog of Hermite-Hadamard inequality, the quantum analog of some trapezoid, midpoint, Bullen and Simpson type inequalities are established. Moreover, by taking the special selection of lambda and mu and taking limit q -> 1-, - , some new results are obtained, and some old results are verified.