On the Weighted Generalization of Hermite-Hadamard Type Inclusions for Interval-Valued Convex Functions

Budak H., Kara H.

FILOMAT, vol.36, no.14, pp.4779-4791, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 14
  • Publication Date: 2022
  • Doi Number: 10.2298/fil2214779b
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.4779-4791
  • Kocaeli University Affiliated: No

Abstract

In this paper, firstly we give weighted Jensen inequality for interval valued functions.Then, by using Jensen inequality, we establish weighted Hermite-Hadamard type inclusions for interval-valued functions. Moreover, we obtain some inclusions of weighted Hermite-Hadamard type for co-ordinated convex interval-valued functions. These inclusions are generalizations of some results given in earlier works.