On Fractional Hybrid Integral Inequalities via Extended s-Convexity

Meftah B., Saleh W., Almatrafi M. B., LAKHDARI A.

Journal of Nonlinear Modeling and Analysis, cilt.7, sa.4, ss.1153-1178, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 4
  • Basım Tarihi: 2025
  • Doi Numarası: 10.12150/jnma.2025.1153
  • Dergi Adı: Journal of Nonlinear Modeling and Analysis
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1153-1178
  • Anahtar Kelimeler: extended s-convex functions, Gauss-Radau formula, hypergeometric function, Newton-Cotes inequalities, P-functions
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this study, we introduce a novel hybrid identity that successfully combines Newton-Cotes and Gauss quadratures, enabling us to recover both Simpson’s second formula and the left and right Radau 2 point rules, among others. Based on this versatile foundation, we establish some new biparametric fractional integral inequalities for functions whose first derivatives are extended s-convex in the second sense. To support our findings, we present illustrative examples featuring graphical representations and conclude with several practical applications to demonstrate the effectiveness of our results.