Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals
نویسندگان
چکیده
منابع مشابه
On new inequalities of Hermite-Hadamard-Fejér type for convex functions via fractional integrals
In this paper, we establish some weighted fractional inequalities for differentiable mappings whose derivatives in absolute value are convex. These results are connected with the celebrated Hermite-Hadamard-Fejér type integral inequality. The results presented here would provide extensions of those given in earlier works.
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The main aim of this paper is to give extension and refinement of the Hermite-Hadamard inequality for convex functions via Riemann-Liouville fractional integrals. We show how to relax the convexity property of the function f . Obtained results in this work involve a larger class of functions.
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In this paper, a new inequality for generalized convex functions which is related to the left side of generalized Hermite-Hadamard type inequality is obtained. Some applications for some generalized special means are also given.
متن کاملOn Some Hermite-Hadamard Type Inequalities for Convex Functions via Hadamard Fractional Integrals
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...
متن کاملCertain Hermite-Hadamard type inequalities via generalized k-fractional integrals
Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named [Formula: see text]-Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established. Also, by using the obtained identity, we get a Hermite-Hadamard type inequality.
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ژورنال
عنوان ژورنال: Journal of Mathematics
سال: 2018
ISSN: 2314-4629,2314-4785
DOI: 10.1155/2018/5864091