A new variant of Jensen inclusion and Hermite-Hadamard type inclusions for interval-valued functions

Sitthiwirattham T., Sial I. B., Ali M. A., Budak H., Reunsumrit J.

FILOMAT, vol.37, no.17, pp.5553-5565, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 17
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2317553s
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5553-5565
  • Kocaeli University Affiliated: No

Abstract

In this research, we give a new version of Jensen inclusion for interval-valued functions, which is called Jensen-Mercer inclusion. Moreover, we establish some new inclusions of the Hermite-Hadamard-Mercer type for interval-valued functions. Finally, we give some applications of newly established inequal-ities to make them more interesting for the readers.