학술논문
Some variants on Mercer's Hermite-Hadamard like inclusions of interval-valued functions for strong Kernel
Document Type
Academic Journal
Source
AIMS Mathematics. May, 2023, Vol. 8 Issue 5, p10001, 20 p.
Subject
Language
English
Abstract
Using Atangana-Baleanu (AB) fractional integral operators, we first establish some fractional Hermite-Hadamard-Mercer inclusions for interval-valued functions in this study. In this, some fresh developments of the Hermite-Hadamard inequality for fractional integral operators are presented. A few instances are also given to support our conclusions. The resulting results could provide new insight into a variety of integral inequalities for fuzzy interval-valued functions, fractional interval-valued functions, and the optimization issues they raise. Finally, matrices-related applications are also shown. Keywords: convex function; Mercer's Hermite-Hadamard inequality; Atangana-Baleanu fractional integral operator; interval-valued function Mathematics Subject Classification: 26A33, 26A51, 26D15 1
1. Introduction Convex analysis is a branch of mathematics that studies the properties of convex sets and convex functions. In convex analysis, a set is considered convex if for any [...]
1. Introduction Convex analysis is a branch of mathematics that studies the properties of convex sets and convex functions. In convex analysis, a set is considered convex if for any [...]