CORRECTED SIMPSON’S SECOND FORMULA INEQUALITIES ON FRACTAL SET

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LAKHDARI A., Meftah B., Saleh W., Benchettah D. C.

Fractional Differential Calculus, vol.14, no.1, pp.1-19, 2024 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.7153/fdc-2024-14-01
  • Journal Name: Fractional Differential Calculus
  • Journal Indexes: Scopus
  • Page Numbers: pp.1-19
  • Keywords: and phrases: Corrected Simpson 3/8 formula, fractal set, generalised (s, local fractional integrals, P)-convex functions
  • Open Archive Collection: AVESIS Open Access Collection
  • Kocaeli University Affiliated: Yes

Abstract

The aim of this research is to investigate the corrected Simpson’s second formula within the context of local fractional calculus. Firstly, we present a new integral identity that is related to the formula, which enables us to derive several integral inequalities for functions whose local fractional derivatives are generalized (s,P)-convex functions. Lastly, we discuss potential practical applications.