Hermite-Hadamard-Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions
Journal of Function Spaces, 2019 In this paper, we present a Hermite-Hadamard-Fejér inequality for conformable fractional integrals by using symmetric preinvex functions. We also establish an identity associated with the right hand side of Hermite-Hadamard inequality for preinvex ...
Yousaf Khurshid +3 more
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Journal of Mathematics, 2021 In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically ...
M. Yussouf +3 more
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Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets
Mathematics, 2020 In this study, we establish new integral inequalities of the Hermite−Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann−Liouville into a single form.
Ohud Almutairi, Adem Kılıçman
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Inequalities for Riemann–Liouville Fractional Integrals of Strongly s,m-Convex Functions
Journal of Mathematics, 2021 The results of this paper provide two Hadamard-type inequalities for strongly s,m-convex functions via Riemann–Liouville fractional integrals and error estimations of well-known fractional Hadamard inequalities.
Fuzhen Zhang +2 more
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Generalization of Hermite-Hadamard inequalities involving Hadamard fractional integrals
Filomat, 2015 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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Hermite-Hadamard-Fejér Type Inequalities for Preinvex Functions Using Fractional Integrals
Mathematics, 2019 In this paper, we have established the Hermite−Hadamard−Fejér inequality for fractional integrals involving preinvex functions. The results presented here provide new extensions of those given in earlier works as the weighted estimates ...
Sikander Mehmood +2 more
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Generalized Hadamard Fractional Integral Inequalities for Strongly s,m-Convex Functions
Journal of Mathematics, 2021 This article deals with Hadamard inequalities for strongly s,m-convex functions using generalized Riemann–Liouville fractional integrals. Several generalized fractional versions of the Hadamard inequality are presented; we also provide refinements of ...
Chao Miao +3 more
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Generalized Hermite-Hadamard type integral inequalities for fractional integrals
Filomat, 2016 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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Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals
Journal of Mathematics, 2018 This paper deals with Hermite-Hadamard-Fejér inequality for (η1,η2)-convex functions via fractional integrals. Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered ...
M. Rostamian Delavar +2 more
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On the weighted fractional integral inequalities for Chebyshev functionals
Advances in Difference Equations, 2021 The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function G $\mathcal{G ...
Gauhar Rahman +4 more
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