Results 1 to 10 of about 419 (175)

Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy [PDF]

Entropy, 2022
Interpretations of Hadamard-type fractional integral and differential operators are proposed. The Hadamard-type fractional integrals of function with respect to another function are interpreted as an generalization of standard entropy, fractional ...
Vasily E. Tarasov
doaj   +2 more sources

On Boundedness of Fractional Hadamard Integration and Hadamard-Type Integration in LebesgueSpaces with Mixed Norm

Современная математика: Фундаментальные направления, 2022
In this paper, we consider the boundedness of integrals of fractional Hadamard integration and Hadamard-type integration (mixed and directional) in Lebesgue spaces with mixed norm.
M. U. Yakhshiboyev
doaj   +3 more sources

On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals [PDF]

Heliyon
The main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha, Tasawar Abbas, Zhixiong Li, Amor Rebey, Affaq Ahmed, Sanaa Anjum   +5 more
doaj   +2 more sources

Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals

Journal of Inequalities and Applications, 2017
Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named ( k , s ) $(k,s)$ -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established.
Praveen Agarwal, Mohamed Jleli, Muharrem Tomar   +2 more
doaj   +3 more sources

Hermite–Hadamard and Hermite–Hadamard–Fejer type inequalities for p-convex functions via conformable fractional integrals

Journal of Inequalities and Applications, 2020
In this paper, we obtain the Hermite–Hadamard and Hermite–Hadamard–Fejer type inequalities for p-convex functions via conformable fractional integrals. We also discuss some special cases.
Naila Mehreen, Matloob Anwar
doaj   +3 more sources

Hermite–Hadamard-Type Inequalities for Convex Functions via the Fractional Integrals with Exponential Kernel

Mathematics, 2019
In this paper, we establish three fundamental integral identities by the first- and second-order derivatives for a given function via the fractional integrals with exponential kernel.
Xia Wu, JinRong Wang, Jialu Zhang
doaj   +3 more sources

On the Hermite–Hadamard type inequality for ψ-Riemann–Liouville fractional integrals via convex functions

Journal of Inequalities and Applications, 2019
In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions.
Kui Liu, JinRong Wang, Donal O’Regan
doaj   +3 more sources

Hermite-Hadamard, Trapezoid and Midpoint Type Inequalities Involving Generalized Fractional Integrals for Convex Functions [PDF]

Sahand Communications in Mathematical Analysis, 2023
We first construct new Hermite-Hadamard type inequalities which include generalized fractional integrals for convex functions by using an operator which generates some significant fractional integrals such as Riemann-Liouville fractional and the Hadamard
Hasan Kara, Samet Erden, Huseyin Budak
doaj   +1 more source

Fejér–Hadamard Type Inequalities for (α, h-m)-p-Convex Functions via Extended Generalized Fractional Integrals

Fractal and Fractional, 2021
Integral operators of a fractional order containing the Mittag-Leffler function are important generalizations of classical Riemann–Liouville integrals. The inequalities that are extensively studied for fractional integral operators are the Hadamard type ...
Ghulam Farid, Muhammad Yussouf, Kamsing Nonlaopon   +2 more
doaj   +1 more source

On some Hermite–Hadamard type inequalities for tgs $tgs$-convex functions via generalized fractional integrals

Advances in Difference Equations, 2020
In this research article, we establish some Hermite–Hadamard type inequalities for tgs $tgs$-convex functions via Katugampola fractional integrals and ψ-Riemann–Liouville fractional integrals.
Naila Mehreen, Matloob Anwar
doaj   +1 more source