15 research outputs found

    Generalizations of the Hermite-Hadamard type inequalities for functions whose derivatives are s-convex

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    Some new results related to the right-hand side of the Hermite- Hadamard type inequality for the class of functions whose derivatives at certain powers are s-convex functions in the second sense are obtained

    Generalizations of the Hermite-Hadamard Type Inequalities for Functions whose Derivatives are s-Convex

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    Some new results related to the right-hand side of the Hermite- Hadamard type inequality for the class of functions whose derivatives at certain powers are s-convex functions in the second sense are obtained

    On Fractional Differentiable s-Convex Functions

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    In this paper some properties of s–convex functions are considered. A combination between local fractional alpha–derivative and s–convexity are introduced and investigated

    Hermite–Hadamard-Type Integral Inequalities for Functions Whose First Derivatives are Convex

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    We establish some new Hermite–Hadamard-type inequalities for functions whose first derivatives are of convexity and apply these inequalities to construct inequalities for special means.Встановлено дєякі нові нєрівності типу Ерміта - Адамара для Функцій, похідні яких мають опуклість. Ці нєрівності застосовано при побудові нерівностей для спеціальних середніх
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