Results 41 to 50 of about 6,804 (192)
Generalization of Hermite-Hadamard inequalities involving Hadamard fractional integrals
In this paper, we firstly give a general integral identity for once differentiable mapping involving Hadamard fractional integrals. Secondly, we use this integral identity to derive some new generalization of fractional Hermite-Hadamard inequalities through GA-convex functions via power means and integrals GG-convex functions via power ...
Zhi Zhang, Wei Wei, Jin Wang
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Some New Harmonically Convex Function Type Generalized Fractional Integral Inequalities
In this article, we established a new version of generalized fractional Hadamard and Fejér–Hadamard type integral inequalities. A fractional integral operator (FIO) with a non-singular function (multi-index Bessel function) as its kernel and monotone ...
Rana Safdar Ali +6 more
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Hadamard fractional integrals and derivatives with respect to functions
In this article, we study generalized fractional derivatives and integrals that contain kernels a generalized logarithm depending on a positive continuous function increasing. We generalize the Laplace transform in order to be applicable for the generalized fractional integrals and derivatives.
Ana Paula Perovano +1 more
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Further on Inequalities for α,h−m-Convex Functions via k-Fractional Integral Operators
The purpose of this article is to demonstrate new generalized k-fractional Hadamard and Fejér–Hadamard integral inequalities for α,h−m-convex functions.
Tao Yan +3 more
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Generalized Hermite-Hadamard type integral inequalities for fractional integrals
In this paper, we have established Hermite-Hadamard type inequalities for fractional integrals depending on a parameter.
Sarıkaya, Mehmet Zeki, Budak, Hüseyin
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On New Inequalities for h-convex Functions via Riemann-Liouville Fractional Integration
In this paper, some new inequalities of the Hermite-Hadamard type for h-convex functions via Riemann-Liouville fractional integral are ...
Tunc, Mevlut
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In the paper, the authors establish some generalized fractional integral inequalities of the Hermite–Hadamard type for (α,m) $(\alpha,m)$-convex functions, show that one can find some Riemann–Liouville fractional integral inequalities and classical ...
Feng Qi +3 more
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Hermite–Hadamard type inequalities for conformable fractional integrals
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Adil Khan, M +3 more
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On the Generalized Hermite–Hadamard Inequalities via the Tempered Fractional Integrals [PDF]
Integral inequality plays a critical role in both theoretical and applied mathematics fields. It is clear that inequalities aim to develop different mathematical methods (numerically or analytically) and to dedicate the convergence and stability of the methods.
Pshtiwan Othman Mohammed +2 more
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The aim of this paper is to establish Hermite-Hadamard, Hermite-Hadamard-Fej\'er, Dragomir-Agarwal and Pachpatte type inequalities for new fractional integral operators with exponential kernel.
Ahmad, Bashir +3 more
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