Results 11 to 20 of about 263,102 (263)

On the existence of solutions of some non-linear functional integral equations in Banach algebra with applications

open access: yesArab Journal of Basic and Applied Sciences, 2020
In this article, we establish some results for the existence of solution of nonlinear functional integral equations by using Darbo’s fixed point theorem in Banach algebra.
Amar Deep, Deepmala, Cemil Tunç
doaj   +2 more sources

Fast L2-approximation of integral-type functionals of Markov processes

open access: yesModern Stochastics: Theory and Applications, 2015
In this paper, we provide strong $L_{2}$-rates of approximation of the integral-type functionals of Markov processes by integral sums. We improve the method developed in [2].
Iurii Ganychenko
doaj   +1 more source

Weak approximation rates for integral functionals of Markov processes

open access: yesModern Stochastics: Theory and Applications, 2015
We obtain weak rates for approximation of an integral functional of a Markov process by integral sums. An assumption on the process is formulated only in terms of its transition probability density, and, therefore, our approach is not strongly dependent ...
Iurii Ganychenko, Alexei Kulik
doaj   +1 more source

Integrals involvingE-functions [PDF]

open access: yesMathematische Zeitschrift, 1958
1. Introductory. The following two integrals will be established in § 2.If m is a positive integer, if p ≧ q + 1 and if R(ar+kt) > 0 (r = 1, 2,…, p, t = 1, 2,…, m),where co is 1 or e±in according as m is even or odd, the dash denotes that the factor sin (k,–k,)π does not appear and the asterisk that the parameter kt–kt + 1 is omitted.
openaire   +2 more sources

Rates of approximation of nonsmooth integral-type functionals of Markov processes

open access: yesModern Stochastics: Theory and Applications, 2014
We provide strong $L_{p}$-rates of approximation of nonsmooth integral-type functionals of Markov processes by integral sums. Our approach is, in a sense, process insensitive and is based on a modification of some well-developed estimates from the theory
Iu. Ganychenko, A. Kulik
doaj   +1 more source

Certain fractional conformable inequalities for the weighted and the extended Chebyshev functionals

open access: yesAdvances in Difference Equations, 2020
The main aim of this present paper is to establish fractional conformable inequalities for the weighted and extended Chebyshev functionals. We present some special cases of our main result in terms of the Riemann–Liouville fractional integral operator ...
Asifa Tassaddiq   +3 more
doaj   +1 more source

On the weighted fractional integral inequalities for Chebyshev functionals

open access: yesAdvances 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

Periodic solutions for an impulsive system of integro-differential equations with maxima [PDF]

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022
A periodical boundary value problem for a first-order system of ordinary integro-differential equations with impulsive effects and maxima is investigated.
Tursun K. Yuldashev
doaj   +1 more source

General functional-integral Volterra equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2007
We research the one-valued solvability of the integral Volterra equation of general type with given initial condition. The theorem on the existence and uniqueness of continuous solution, which satisfies the Lipschitz condition on the considered interval ...
T. K. Yuldashev, Zh. A. Artykova
doaj   +1 more source

Integral Representations of a Generalized Linear Hermite Functional

open access: yesMathematics, 2023
In this paper, we find new integral representations for the generalized Hermite linear functional in the real line and the complex plane. As an application, new integral representations for the Euler Gamma function are given.
Roberto S. Costas-Santos
doaj   +1 more source

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