On corrected Simpson-type inequalities via local fractional integrals

Lakhdari A., Meftah B., Saleh W.

GEORGIAN MATHEMATICAL JOURNAL, cilt.32, sa.1, ss.111-121, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1515/gmj-2024-2030
  • Dergi Adı: GEORGIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.111-121
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

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.