Some new and general versions of q-Hermite-Hadamard-Mercer inequalities

Ali M. A., Budak H., Kobis E.

FILOMAT, vol.37, no.14, pp.4531-4548, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 14
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2314531a
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.4531-4548
  • Kocaeli University Affiliated: No

Abstract

In this paper, we establish two new different and general variants of q-Hermite-Hadamard-Mercer inequalities by using the newly defined q-integrals. The main edge of these inequalities is that they can be converted into some existing and new inequalities for different choices of q E (0,1) and lambda E (0,1] . Finally, we study some mathematical examples to assure the validity of newly established inequalities.