Results 181 to 190 of about 8,512 (209)

Riemann–Liouville fractional integral type exponential sampling Kantorovich series

Expert Systems with Applications
In the present paper, we introduce a new family of sampling Kantorovich type operators using fractional-type integrals. We study approximation properties of newly constructed operators and give a rate of convergence via a suitable modulus of continuity. Furthermore, we obtain an asymptotic formula considering locally regular functions.
Sadettin Kursun, Ali Aral, Tuncer Acar
openaire   +3 more sources

Rational Approximations of Riemann--Liouville and Weyl Fractional Integrals

Mathematical Notes, 2005
Given \(h\) an \(L_1\)-integrable function on \(I= [a, b]\) and \(\alpha> 0\), set \(f(x)= (P^\alpha_\pm* h)(x)\) where \(P^\alpha_\pm(t)\) denotes either the well known Riemann-Liouville kernel or the Weyl kernel when \(I= [0, 2\pi]\) and \(h\) is a \(2\pi\)-periodic function. Here \(*\) represents the usual ``convolution'' operation.
openaire   +1 more source

On the Integral Inequalities for Riemann–Liouville and Conformable Fractional Integrals

2018
An integral operator is sometimes called an integral transformation. In the fractional analysis, Riemann–Liouville integral operator (transformation) of fractional integral is defined as $$S_{\alpha }(x)= \frac{1}{\Gamma (x)} \int _{0}^{x} (x-t)^{\alpha -1}f(t)dt$$ where f(t) is any integrable function on [0, 1] and \(\alpha >0\), t is in domain
Emin Ozdemir M., Akdemir A.O., Set E., Ekinci A.   +3 more
openaire   +4 more sources

Generalized Fractional Ostrowski's Type Inequalities Involving Riemann-Liouville Fractional Integration

2020
Fractional calculus has applications in many practical problems such as electromagnetic waves, visco-elastic systems, quantum evolution of complex systems, diffusion waves, physics, engineering, finance, social sciences, economics, mathematical biology, and chaos theory.
Ather Qayyum, Muhammad Shoaib
openaire   +1 more source

Random inequalities via Riemann-Liouville fractional integration

Journal of Interdisciplinary Mathematics, 2021
Mohamed Bezziou, Zoubir Dahmani
openaire   +1 more source

Mesoscopic Fractional Kinetic Equations versus a Riemann–Liouville Integral Type

2007
It is proved that kinetic equations containing noninteger integrals and derivatives are appeared in the result of reduction of a set of micromotions to some averaged collective motion in the mesoscale region. In other words, it means that after a proper statistical average the microscopic dynamics is converted into a collective complex dynamics in the ...
Nigmatullin R., Trujillo J.
openaire   +3 more sources

The Riemann–Liouville Fractional Δ-Integral and the Riemann–Liouville Fractional Δ-Derivative on Time Scales

2018
In this chapter we suppose that \(\mathbb {T}\) is a time scale with forward jump operator and delta differentiation operator σ and Δ, respectively.
openaire   +1 more source

Certain Matrix Riemann–Liouville Fractional Integrals Associated with Functions Involving Generalized Bessel Matrix Polynomials

Symmetry, 2021
Mohamed Abdalla Mahmoud Abdalla Abul-Dahab, Mohamed Akel, Junesang Choi   +2 more
exaly  

Hermite‐Hadamard inequalities for Riemann‐Liouville fractional integrals of a convex function with respect to a monotone function

Mathematical Methods in the Applied Sciences, 2021
Pshtiwan Mohammed
exaly  

A New Version of the Hermite–Hadamard Inequality for Riemann–Liouville Fractional Integrals

Symmetry, 2020
Pshtiwan Mohammed, Iver Brevik
exaly