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
doaj +1 more source
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
doaj +1 more source
Certain Chebyshev Type Integral Inequalities Involving Hadamard’s Fractional Operators [PDF]
Abstract and Applied Analysis, 2014 We establish certain new fractional integral inequalities for the differentiable functions whose derivatives belong to the spaceLp([1,∞)), related to the weighted version of the Chebyshev functional, involving Hadamard’s fractional integral operators. As an application, particular results have been also established.
Sotiris K. Ntouyas +2 more
openaire +4 more sources
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
doaj +1 more source
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
doaj +1 more source
Some Hermite-Hadamard type inequalities in the class of hyperbolic p-convex functions
, 2019 In this paper, obtained some new class of Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities via fractional integrals for the p-hyperbolic convex functions.
Dragomir, Silvestru Sever +1 more
core +1 more source
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
doaj +1 more source
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
doaj +1 more source
On Hadamard Type Fractional Inequalities for Riemann–Liouville Integrals via a Generalized Convexity
Fractal and Fractional, 2022 In the literature of mathematical inequalities, convex functions of different kinds are used for the extension of classical Hadamard inequality. Fractional integral versions of the Hadamard inequality are also studied extensively by applying Riemann ...
Tao Yan +3 more
doaj +1 more source
Midpoint-type inequalities via twice-differentiable functions on tempered fractional integrals
Journal of Inequalities and Applications, 2023 In this paper, we obtain an equality involving tempered fractional integrals for twice-differentiable functions. By using this equality, we establish several left Hermite–Hadamard-type inequalities for the case of tempered fractional integrals. Moreover,
Fatih Hezenci, Hüseyin Budak
doaj +1 more source