Montgomery identity and Ostrowski-type inequalities via quantum calculus

Sitthiwirattham T., Ali M. A., Budak H., Abbas M., Chasreechai S.

OPEN MATHEMATICS, vol.19, no.1, pp.1098-1109, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1515/math-2021-0088
  • Journal Name: OPEN MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.1098-1109
  • Kocaeli University Affiliated: No

Abstract

In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus. Moreover, we discuss several special cases of newly established inequalities and obtain different new and existing inequalities in the field of integral inequalities.