Some integral inequalities via(p, q) −calculus on finite intervals

Tunç M., Göv E.

Filomat, vol.35, no.5, pp.1421-1430, 2021 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 5
  • Publication Date: 2021
  • Doi Number: 10.2298/fil2105421t
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.1421-1430
  • Keywords: Hölder inequality, Minkowski inequality, P, q−derivative, P, q−integral, quantum calculus
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

The aim of this paper is to construct p, q-calculus on finite intervals. The pk, qk−derivative and(pk, qk)−integral are defined and some basic properties are given. Also, (pk, qk) −analogue of Hölder, Minkowski integral inequalities are proved.