Hermite-Hadamard type inequalities for the m- and (α, m)-logarithmically convex functions
نویسندگان
چکیده
منابع مشابه
HERMITE HADAMARD TYPE INEQUALITIES FOR m-CONVEX AND (α,m)-CONVEX FUNCTIONS FOR FUZZY INTEGRALS
In this paper Hermite—Hadamard type inequalities for m-convex and (α,m)-convex functions for fuzzy integrals are given. Some examples are also given to illustrate the results.
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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 ...
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Hermite-Hadamard inequalities for $mathbb{B}$-convex and $mathbb{B}^{-1}$-convex functions
Hermite-Hadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, Hermite-Hadamard inequalities for $mathbb{B}$-convex and $mathbb{B}^{-1}$-convex functions are proven.
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ژورنال
عنوان ژورنال: Filomat
سال: 2013
ISSN: 0354-5180
DOI: 10.2298/fil1301001b