In this work, the total order relation between two intervals is used to define cr-
superquadraticity. Some fundamental properties of cr-superquadratic functions are …

The aim of this paper is to introduce a new type of two-dimensional convexity by using total-
order relations. In the first part of this paper, we examine the Hyers–Ulam stability of two …

There is significant interaction between the class of symmetric functions and other types of
functions. The multiplicative convex function class, which is intimately related to the idea of …

Numerous applications of the theory of convex and nonconvex map** exist in the fields of
applied mathematics and engineering. In this paper, we have defined a new class of …

In recent years, the theory of convexity has influenced every field of mathematics due to its
unique characteristics. Numerous generalizations, extensions, and refinements of convexity …

This research focuses on the Ostrowski–Mercer inequalities, which are presented as
variants of Jensen's inequality for differentiable convex functions. The main findings were …

The intent of the current study is to explore convex stochastic processes within a broader
context. We introduce the concept of unified stochastic processes to analyze both convex …

In this paper, we shall discuss a newly introduced concept of center-radius total-ordered
relations between two intervals. Here, we address the Hermite–Hadamard-, Fejér-and …

The term convexity associated with the theory of inequality in the sense of fractional analysis
has a broad range of different and remarkable applications in the domain of applied …

In this note, we introduce the concept of ℏ‐Godunova–Levin interval‐valued preinvex
functions. As a result of these novel notions, we have developed several variants of Hermite …