In this paper, authors study the concept of (s,m)-exponential type convex functions and their algebraic properties. New generalizations Hermite-Hadamard inequality for function ? products two are proved. Some refinements (H-H) whose first derivative in absolute value at certain power obtain. Finally, many new bounds special means error estimates trapezoidal midpoint formula provided as well.

In this work, we use the idea of interval-valued convex functions Center-Radius (cr)-order to give fractional versions Hermite–Hadamard inequality. The results are supported by some numerical estimations and graphical representations considering suitable examples. novel in context cr-convex deal with differintegrals p+s2 type. We believe will be an important contribution spurring additional res...

In this paper, we establish integral inequalities of Hermite-Hadamard type for multiplicativelys-preinvex functions. We also obtain some new inequalities involving multiplicative integralsby using some properties of multiplicatively s-preinvex and preinvex functions.

Abstract In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for k k -fractional integrals involving r r -times differentiable preinvex functions. It is noteworthy that in the past, there was no weighted version left and right sides generalized convex functions av...

In this paper, we present some new refinements of Hermite–Hadamard inequalities for continuous convex functions by using (p,q)-calculus. Moreover, study (p,q)-Hermite–Hadamard multiple integrals. Many results given in paper provide extensions others previous research.

Fractional derivative and integral operators are often employed to present new generalizations of mathematical inequalities. The introduction fractional has prompted another direction in different branches mathematics applied sciences. First, we investigate prove equality. Considering this equality as the auxiliary result, attain some estimations a Hermite–Hadamard type inequality involving s-p...