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Applying GG-Convex Function to Hermite-Hadamard Inequalities Involving Hadamard Fractional Integrals
Author(s) -
Zhi Zhang,
JinRong Wang,
Jianhua Deng
Publication year - 2014
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2014/136035
Subject(s) - mathematics , hadamard transform , hermite polynomials , convex function , pure mathematics , function (biology) , series (stratigraphy) , type (biology) , regular polygon , mathematical analysis , geometry , paleontology , ecology , evolutionary biology , biology
By virtue of fractional integral identities, incomplete beta function, useful series, and inequalities, we apply the concept of GG-convex function to derive new type Hermite-Hadamard inequalities involving Hadamard fractional integrals. Finally, some applications to special means of real numbers are demonstrated

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