HERMITE–HADAMARD TYPE INEQUALITIES FOR INTERVAL-VALUED COORDINATED LR-CONVEXITY VIA GENERALIZED FRACTIONAL INTEGRALS

Kara H., Ali M. A., BUDAK H.

Rocky Mountain Journal of Mathematics, vol.55, no.4, pp.1023-1035, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 4
  • Publication Date: 2025
  • Doi Number: 10.1216/rmj.2025.55.1023
  • Journal Name: Rocky Mountain Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Page Numbers: pp.1023-1035
  • Keywords: coordinated convex functions, generalized fractional integral, Hermite and Hadamard’s inequalities, interval-valued functions, LR-convexity
  • Kocaeli University Affiliated: Yes

Abstract

We first obtain some new Hermite–Hadamard-type inequalities for interval-valued LR-convex functions. Afterwards, we investigate Hermite–Hadamard-type inequalities for interval-valued coordinated LRconvex functions. New results are obtained by making special choices in newly established inequalities in the case of interval-valued LR-convex functions and interval-valued coordinated LR-convex functions. It is also shown that the newly established inequalities are extensions of comparable results in the literature.