The symmetric function class interacts heavily with other types of functions. One these is the pre-invex class, which strongly related to symmetry theory. This paper proposes a novel fuzzy fractional extension Hermite-Hadamard, Hermite-Hadamard-Fejér, and Pachpatte type inequalities for up down fuzzy-number-valued mappings. Using operators, several generalizations have been developed, where wel...

In order to be able study cosmic phenomena more accurately and broadly, it was necessary expand the concept of calculus. this study, we aim introduce a new fractional Hermite–Hadamard–Mercer’s inequality its integral type inequalities. To facilitate that, use proportional operators integrable functions with respect another continuous strictly increasing function. Moreover, establish some weight...

We establish various fractional convex inequalities of the Hermite–Hadamard type with addition to many other inequalities. Various types such are obtained, as (p,h) inequality and others, (p,h)-convexity is generalization As a consequence (h,m)-convexity, (s,m)-type obtained. Many consequences generalizations

We investigate a family of MϕA-h-convex functions, give some properties it and several inequalities which are counterparts to the classical such as Jensen inequality Schur inequality. weighted Hermite-Hadamard for an function estimations product two functions.

In this paper, we introduce a definition of geometric-arithmetically \((s,m)\) convex function and give some new inequalities Hermite-Hadamard type for the function. Finally, discuss applications these to special means.

In this paper, we are interested to establish inequalities of Hermite-Hadamard type involving operator h-convex functions. We provide some generalizations operators with real arguments recently pointed out. Several applications weighted means presented as well.

In this study, we establish a novel version of Hermite-Hadamard inequalities through neoteric generalized Riemann-Liouville fractional integrals (RLFIs). For functions with the convex absolute values derivatives, create variety midpoint and trapezoid form inequalities, including RLFIs. Moreover, multiple can be produced as special cases findings study.

In the paper, with help of two known integral identities and by virtue classical Hölder inequality, authors establish several new inequalities Hermite–Hadamard type for convex functions. These newly established generalize some results.