Hermite-Hadamard Type Inequalities Related to s-Convex Functions in the Third Sense

Abstract

In this paper, some Hermite-Hadamard type inequalites for $s$-convex functions in the third sense are studied. It is established several new inequalities for functions whose derivative in absolute value and $p$th power of its derivative in absolute value are $s$-convex in the third sense. In addition, these inequalities are used to find an upper bound for error in numerical integration for this type of functions.

Keywords

• Hermite-Hadamard inequality
• $s$-convex function in the third sense
• convexity

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