Some weighted Hermite-Hadamard type inclusions based on interval-valued convex and co-ordinated convex mappings

Kara H., Sarikaya M. Z., Budak H.

FILOMAT, vol.38, no.13, pp.4467-4483, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 13
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2413467k
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.4467-4483
  • Kocaeli University Affiliated: No

Abstract

In this paper, we establish some Hermite-Hadamard inclusions for interval-valued convex functions and interval-valued co-ordinated convex functions by using interval-valued weighted function. The inclusions established in this work provide generalizations of some results given in earlier works. As special cases, we give some new weighted Hermite-Hadamard type inclusions involving logarithmic function.