Some Error Bounds for 2-Point Right Radau Formula in the Setting of Fractional Calculus via s-Convexity

Liu X. L., Xu H. Y., Shokri A., Lakhdari A., Meftah B.

JOURNAL OF MATHEMATICS, cilt.2024, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2024
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1155/2024/6709056
  • Dergi Adı: JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, we present a new approach to construct fractional 2-point right Radau type integral inequalities using a novel identity, for functions with s-convex first derivatives in the second sense via Riemann-Liouville fractional integral operators. We then demonstrate the accuracy of our results through a 2D example, as well as practical applications of the integral inequalities to quadrature formulas and special means such as arithmetic and p-logarithmic means.