On Integral Inequalities of Hermite-Hadamard Type fors-Geometrically Convex Functions

Hermite-Hadamard Type Inequalities for MφA-Convex Functions

This article deals with the different classes of convexity and generalizations. Firstly, we reveal the new generalization of the definition of convexity that can reduce many order of convexity. We have showed features of algebra for this new convex function. Then after we have constituted Hermite-Hadamard type inequalities for this class of functions. Finally the identity has been revealed for ...

On Integral Inequalities of Hermite-Hadamard Type for s-Geometrically Convex Functions

and Applied Analysis 3 Theorem 1.6 5 , Theorem 4 . Letf : I → R0 be differentiable on I◦, a, b ∈ I, a < b, and f ′ ∈ L a, b . If |f ′ x | is s-convex on a, b for some s ∈ 0, 1 , and p, q ≥ 1, such that 1/q 1/p 1 then ∣ ∣ ∣ ∣ ∣ f ( a b 2 ) − 1 b − a ∫b a f x dx ∣ ∣ ∣ ∣ ∣ ≤ 2−1/p ∣f ′ a ∣ ∣q s 1 ∣ ∣f ′ a b /2 ∣ ∣q)1/q { s 1 s 2 } 2−1/p ∣f ′ b ∣ ∣q s 1 ∣ ∣f ′ a b /2 ∣ ∣q)1/q { s 1 s 2 } 2−1/p [( β...

A generalized form of the Hermite-Hadamard-Fejer type inequalities involving fractional integral for co-ordinated convex functions

Recently, a general class of the Hermit--Hadamard-Fejer inequality on convex functions is studied in [H. Budak, March 2019, 74:29, textit{Results in Mathematics}]. In this paper, we establish a generalization of Hermit--Hadamard--Fejer inequality for fractional integral based on co-ordinated convex functions.Our results generalize and improve several inequalities obtained in earlier studies.

Some New Hermite-Hadamard-like Type Inequalities on Geometrically Convex Functions

Some Integral Inequalities of Hermite-Hadamard Type for Multiplicatively s-Preinvex Functions

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.