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, cilt.14, sa.1, ss.1-19, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.7153/fdc-2024-14-01
  • Dergi Adı: Fractional Differential Calculus
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1-19
  • Anahtar Kelimeler: and phrases: Corrected Simpson 3/8 formula, fractal set, generalised (s, local fractional integrals, P)-convex functions
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Kocaeli Üniversitesi Adresli: Evet

Özet

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.