Results 21 to 30 of about 6,804 (192)

Integral inequalities for some convex functions via generalized fractional integrals

Journal of Inequalities and Applications, 2018
In this paper, we obtain the Hermite–Hadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the generalization of Riemann–Liouville fractional ...
Naila Mehreen, Matloob Anwar
doaj   +1 more source

On Some Hermite–Hadamard Inequalities for Fractional Integrals and their Applications

Ukrainian Mathematical Journal, 2020
UDC 517.5 We establish some new extensions of Hermite\,--\,Hadamard inequality for fractional integrals and present several applications for the Beta function.
Hwang, Shiow-Ru, Yeh, Shu-Ying, Tseng, Kuei-Lin   +2 more
openaire   +2 more sources

Unified treatment of fractional integral inequalities via linear functionals [PDF]

, 2016
In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc.
Bombardelli, Mea, Nikolova, Ludmila, Varošanec, Sanja   +2 more
core   +2 more sources

Hermite-Hadamard-Mercer type inequalities for fractional integrals

Filomat, 2021
In the present note, we proved Hermite-Hadamard-Mercer inequalities for fractional integrals and we established some new fractional inequalities connected with the right and left-sides of Hermite-Hadamard-Mercer type inequalities for differentiable mappings whose derivatives in absolute value are convex.
Öğülmüş, Hatice, Sarıkaya, Mehmet Zeki   +1 more
openaire   +2 more sources

Some New Generalizations for Exponentially s-Convex Functions and Inequalities via Fractional Operators

Fractal and Fractional, 2019
The main objective of this paper is to obtain the Hermite−Hadamard-type inequalities for exponentially s-convex functions via the Katugampola fractional integral.
Saima Rashid, Muhammad Aslam Noor, Khalida Inayat Noor, Ahmet Ocak Akdemir   +3 more
doaj   +1 more source

Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions

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, G. Farid, K. A. Khan, Chahn Yong Jung   +3 more
doaj   +1 more source

On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals [PDF]

, 2016
YILDIRIM, Huseyin/0000-0001-8855-9260WOS: 000396217100029In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity.
Sarikaya, Mehmet Zeki, Yildirim, Hüseyin   +1 more
core   +1 more source

On Some Operators Involving Hadamard Derivatives [PDF]

, 2013
In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators.
Garra, Roberto, Polito, Federico
core   +1 more source

On Some Generalized Fractional Integral Inequalities for p-Convex Functions

Fractal and Fractional, 2019
In this paper, firstly we have established a new generalization of Hermite−Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann−Liouville fractional integral operators introduced by Raina ...
Seren Salaş, Yeter Erdaş, Tekin Toplu, Erhan Set   +3 more
doaj   +1 more source

On local fractional integral inequalities via generalized (h˜1,h˜2)\left({\tilde{h}}_{1},{\tilde{h}}_{2})-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

Demonstratio Mathematica, 2023
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel, Bibi Maria, Muddassar Muhammad, Al-Sa’di Sa’ud   +3 more
doaj   +1 more source