On corrected Simpson-type inequalities via local fractional integrals

Lakhdari A., Meftah B., Saleh W.

GEORGIAN MATHEMATICAL JOURNAL, vol.32, no.1, pp.111-121, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.1515/gmj-2024-2030
  • Journal Name: GEORGIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.111-121
  • Kocaeli University Affiliated: No

Abstract

The paper discusses corrected Simpson-type inequalities on fractal sets. Based on an introduced identity, we establish some error bounds for the considered formula using the generalized s-convexity and s-concavity of the local fractional derivative. Finally, we present some graphical representations justifying the established theoretical framework as well as some applications.