Hermite-Hadamard and Schur-Type Inequalities for Strongly $h$-Convex Fuzzy Interval Valued Functions

Abstract

The concept of fuzzy theory was developed in 1965 and becomes an acknowledged research subject in both pure and applied mathematics and statistics, showing how this theory is highly applicable and productive in many applications. In the present study, we introduced the definition of fuzzy interval valued strongly h -convex function and investigated some of its properties. We established Hermite-Hadamard and Schur-type inequalities for the class of fuzzy interval valued strongly h -convex function.

Jensen, Hermite–Hadamard, and Fejér-Type Inequalities for Reciprocally Strongly (h, s)-Convex Functions

“…Convex analysis has a rich history, with Hermann Minkowski and Werner Fenchel among the pioneers who studied the geometric features of sets and functions in convexity. In the 1960s, R. Tryll Roker and Jean Joseph M. began the systematic study of convex analysis, and since then, this area of research has gained widespread attention due to its wide range of applications in control systems, estimation, signal processing, data analysis, economics, and more, as evidenced in works such as [1][2][3]. A real-valued function f(x) defned on an interval I is said to be convex if, for any x 1 , x 2 ∈ I and any λ ∈ [0, 1], we have…”