We establish various fractional convex inequalities of the Hermite-Hadamard type which generalize previously obtained results in literature. Various types such are and given as corollaries. The main motivation paper is to recently published terms (α, h − m) p convexity with k-p Riemann Liouville operator. application H¨olders inequality tandem operator type.

Abstract In this study, we introduce the new concept of $$h$$ h -convex fuzzy-interval-valued functions. Under concept, present versions Hermite–Hadamard inequalities (H–H inequalities) are called fuzzy-interval type for functions ( FIVF) by means fuzzy order relation. This relation is defined level wise thro...

In this article, a new general integral identity involving generalized fractional integral operators is established. With the help of this identity new Hermite-Hadamard type inequalities are obtained for functions whose absolute values of derivatives are convex. As a consequence, the main results of this paper generalize the existing Hermite-Hadamard type inequalities involving the Riemann-Liou...

In this paper, we present weighted integral inequalities of Hermite-Hadamard type for differentiable preinvex and prequasiinvex functions. Our results, on the one hand, give a weighted generalization of recent results for preinvex functions and, on the other hand, extend several results connected with the Hermite-Hadamard type integral inequalities. Applications of the obtained results are prov...

The fuzzy integrals are a kind of fuzzy measures acting on fuzzy sets. They can be viewed as an average membershipvalue of fuzzy sets. The value of the fuzzy integral in a decision making environment where uncertainty is presenthas been well established. Most of the integral inequalities studied in the fuzzy integration context normally considerconditions such as monotonicity or comonotonicity....

It is well known that the Hermite–Hadamard inequality (called HH inequality) refines definition of convexity function f(x) defined on [a,b] by using integral from a to b. There are many generalizations or refinements inequality. Furthermore has applications several fields mathematics, including numerical analysis, functional and operator Recently, we gave types refined inequalities obtained whi...

Abstract In this paper, we obtain Hermite–Hadamard-type inequalities of convex functions by applying the notion $q^{b}$ qb -integral. We prove some new related with right-hand sides -Hermite–Hadamard for differentiable absolute values second derivatives. The results present...

Abstract We establish necessary conditions for the existence of solutions to various systems partial differential inequalities in plane. The obtained provide new Hermite-Hadamard-type differentiable functions In particular, we obtain a refinement an inequality due Dragomir [ On Hadamard’s convex on co-ordinates rectangle from plane , Taiwan. J. Math. 5 (2001), no. 4, 775–788] coordinates.

Abstract In this paper, we explore a class of Hermite–Hadamard integral inequalities for convex and m -convex functions. The Hölder inequality is used to create class, which has wide range applications in optimization theory. Some trapezoid-type midpoint error estimates are investigated. Inequalities several q -special functions highlighted. As particular cases, have included previous results.