Some New Generalized Integral Inequalities for GA-s-Convex Functions via Hadamard Fractional Integrals
نویسندگان
چکیده
منابع مشابه
NEW GENERAL INTEGRAL INEQUALITIES FOR (α,m)-GA-CONVEX FUNCTIONS VIA HADAMARD FRACTIONAL INTEGRALS
In this paper, the authors give a new identity for Hadamard fractional integrals. By using of this identity, the authors obtain new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for (α,m)-GA-convex functions via Hadamard fractional integrals.
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The well-known Hermite-Hadamard integral inequality was established by Hermite at the end of 19th century (see [1]). There are many recent contributions to improve this inequality, please refer to [2,3,4,5,6] and references therein. It is worth noting that there are some interesting results about Hermite-Hadamard inequalities via fractional integrals according to the corresponding integral equa...
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In this paper, firstly, new Hermite-Hadamard type inequalities for harmonically convex functions in fractional integral forms are given. Secondly, Hermite-Hadamard-Fejer inequalities for harmonically convex functions in fractional integral forms are built. Finally, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for harmonically convex functions in fractional int...
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ژورنال
عنوان ژورنال: Chinese Journal of Mathematics
سال: 2016
ISSN: 2314-8071
DOI: 10.1155/2016/4361806