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

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Turkish Journal of Mathematics and Computer Science
Volume:13 Issue:2
Hermite-Hadamard Type Inequalities Related to s-Convex Functions in the Third Sense

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

Pages : 318-330

View : 28 | Download : 8

Publication Date : 2021-12-31

Article Type : Research Paper

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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