A new variant of Jensen inclusion and Hermite-Hadamard type inclusions for interval-valued functions-Reference-Cited by-同舟云学术

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

Published:2023 Issue:17 Volume:37 Page:5553-5565
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Sitthiwirattham Thanin¹,Sial Ifra²,Ali Muhammad³,Budak Hüseyin⁴,Reunsumrit Jiraporn⁵

Affiliation:

1. Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, Thailand

2. School of Sciences, Jiangsu University, Zhenjiang, China

3. Jiangsu Key Laboratory of NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, China

4. Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce-Turkey

5. Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand

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 inequalities to make them more interesting for the readers.

Publisher

National Library of Serbia

Reference35 articles.

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