A study of new quantum Montgomery identities and general Ostrowski like inequalities

Awan M. U., Javed M. Z., Budak H., Hamed Y. S., Ro J.

AIN SHAMS ENGINEERING JOURNAL, vol.15, no.5, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 5
  • Publication Date: 2024
  • Doi Number: 10.1016/j.asej.2024.102683
  • Journal Name: AIN SHAMS ENGINEERING JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, Directory of Open Access Journals
  • Kocaeli University Affiliated: No

Abstract

The main objective of this paper is to analyze the Montgomery identities and Ostrowski like inequalities, within the framework of quantum calculus. The study utilizes w 3 q and w 4 q differentiable functions to establish two new Montgomery identities, which are essential for the development of our main results which are new quantum estimates of general Ostrowski type inequality. The study involves numerous techniques, including q -identities, H & ouml;lder-like inequalities, and the Jensen-Mercer inequality for convex mappings, to derive the main outcomes of the paper. Additionally, the study presents special cases, numerical validation, and graphical illustrations to support the main results.