Results 11 to 20 of about 6,804 (192)
Applying GG-Convex Function to Hermite-Hadamard Inequalities Involving Hadamard Fractional Integrals [PDF]
International Journal of Mathematics and Mathematical Sciences, 2014 By virtue of fractional integral identities, incomplete beta function, useful series, and inequalities, we apply the concept of GG-convex function to derive new type Hermite-Hadamard inequalities involving Hadamard fractional integrals.
Zhi Zhang, JinRong Wang, JianHua Deng
doaj +2 more sources
Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, for generalised preinvex functions, new estimates of the Fej\'{e}r-Hermite-Hadamard inequality on fractional sets $\mathbb{R}^{\rho }$ are given in this study.
Sikander Mehmood, Fiza Zafar
doaj +1 more source
On the Hermite-Hadamard Type Inequalities for Fractional Integral Operator [PDF]
Kragujevac Journal of Mathematics, 2020 Summary: In this paper, using a general class of fractional integral operators, we establish new fractional integral inequalities of Hermite-Hadamard type. The main results are used to derive Hermite-Hadamard type inequalities involving the familiar Riemann-Liouville fractional integral operators.
Yaldiz, H., Sarıkaya, Mehmet Zeki
openaire +3 more sources
Certain new proportional and Hadamard proportional fractional integral inequalities
Journal of Inequalities and Applications, 2021 The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions by employing proportional fractional integral (PFI) and Hadamard proportional fractional ...
Gauhar Rahman +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
Journal of Inequalities and Applications, 2020 The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for harmonically convex functions.
Xiaoli Qiang +4 more
doaj +1 more source
Fractal and Fractional, 2021 In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Humaira Kalsoom +3 more
doaj +1 more source
Further generalizations of Hadamard and Fejér–Hadamard fractional inequalities and error estimates
Advances in Difference Equations, 2020 The aim of this paper is to generalize the fractional Hadamard and Fejér–Hadamard inequalities. By using a generalized fractional integral operator containing extended Mittag-Leffler function via monotone function, for convex functions we generalize well
Yongsheng Rao +4 more
doaj +1 more source
On Hermite-Hadamard type inequalities for multiplicative fractional integrals [PDF]
Miskolc Mathematical Notes, 2020 In this study, we first establish two Hermite-Hadamard type inequality for multiplicative (geometric) Riemann-Liouville fractional integrals. Then, by using some properties of multiplicative convex function, we give some new inequalities involving multiplicative fractional integrals.
Budak, H., Özcelik, K.
openaire +3 more sources
HERMITE–HADAMARD TYPE INEQUALITIES FOR KATUGAMPOLA FRACTIONAL INTEGRALS
Journal of Applied Analysis & Computation, 2023 Summary: In the paper, basing on the Katugampola fractional integrals \({}^\rho\mathcal{K}^\alpha_{a+}f\) and \({}^\rho\mathcal{K}^\alpha_{b-}f\) with \(f\in\mathfrak{X}_c^p(a, b) \), the authors establish the Hermite-Hadamard type inequalities for convex functions, give their left estimates, and apply these newly-established inequalities to special ...
Wang, Shu-Hong, Hai, Xu-Ran
openaire +1 more source