Quantum symmetric integral inequalities for convex functions

Nosheen A., Ijaz S., Khan K. A., Awan K. M., Budak H.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.47, no.18, pp.14878-14895, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 18
  • Publication Date: 2024
  • Doi Number: 10.1002/mma.10310
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.14878-14895
  • Kocaeli University Affiliated: No

Abstract

In the context of quantum symmetric calculus, this study proposed more refined version of Ostrowski and Hermite-Hadamard type inequalities. The function involved in these inequalities are convex functions. In order to reach the target, left and right quantum symmetric derivative and corresponding integral are used. Furthermore, the H & ouml;lder inequality is established in the frame work of left and right quantum symmetric integral. The new results refined the results about integral inequalities that exist in the literature.