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Modular filter convergence theorems for Urysohn integral operators and applications [PDF]

open access: yesActa Mathematica Sinica, English Series, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio Boccuto   +2 more
exaly   +9 more sources

Approximation by Urysohn Type Meyer-König and Zeller Operators to Urysohn Integral Operators

open access: yesResults in Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Harun Karsli, Karsli Harun
exaly   +7 more sources

Integral operators of Urysohn-Stieltjes type

open access: yesPeriodica Mathematica Hungarica, 2005
We investigate some properties of nonlinear integral operators of Urysohn--Stieltjes type with kernels depending on two variables. Results concerning the continuity and compactness of these operators are obtained. The solvability of nonlinear Urysohn--Stieltjes integral equations is also studied.
J Banas, D O'Regan, O'Regan D
exaly   +4 more sources

Interpolation of nonlinear integral Urysohn operators in net spaces

open access: yesBULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2022
In this paper, we study the interpolation properties of the net spaces N_p,q(M), in the case when M is a sufficiently general arbitrary system of measurable subsets from R^n. The integral Urysohn operator is considered. This operator generalizes all linear, integral operators, and non-linear integral operators. The Urysohn operator is not a quasilinear
A.H. Kalidolday, E.D. Nursultanov
semanticscholar   +5 more sources

Some properties of Urysohn‐Stieltjes integral operators [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
We investigate some properties of Urysohn‐Stieltjes integral operators. The assumptions will be formulated under which the operators in question transform the space of coatinuous functions into itself or in the space of functions of bounded variation, are continuous or are compact.
J. Banaś
semanticscholar   +5 more sources

INTERPOLATION THEOREMS FOR NONLINEAR URYSOHN INTEGRAL OPERATORS IN GENERAL MORREY-TYPE SPACES

open access: yesEurasian Mathematical Journal, 2020
Summary: In this paper, we present new interpolation theorems for nonlinear Urysohn integral operators. In particular, interpolation theorems of Marcinkiewicz-Calderon type and Stein-Weiss-Peetre type are obtained.
Burenkov V.I.   +2 more
semanticscholar   +5 more sources

Superconvergent Nyström Method Based on Spline Quasi-Interpolants for Nonlinear Urysohn Integral Equations

open access: yesMathematics, 2023
Integral equations play an important role for their applications in practical engineering and applied science, and nonlinear Urysohn integral equations can be applied when solving many problems in physics, potential theory and electrostatics, engineering,
Sara Remogna, D Sbibih, M Tahrichi
exaly   +3 more sources

On pointwise convergence of the family of Urysohn‐type integral operators

open access: yesMathematical Methods in the Applied Sciences, 2018
In this paper, we consider a family of nonlinear integral operators of Urysohn‐type and study the pointwise convergence of the family at characteristic points of L1−function. The kernel Kλ(x,t,u(t)) depends on the positive parameter λ changing on the set of numbers with the accumulation point at infinity and Kλ(x,t,u(t)) is an entire analytic function ...
Sevgi Esen Almali
semanticscholar   +5 more sources

CONVERGENCE OF URYSOHN-TYPE NONLINEAR INTEGRAL OPERATORS AT p–LEBESGUE POINT

open access: yesAdvances in Mathematics: Scientific Journal, 2022
In this paper, a general form of the family of Urysohn-type nonlinear integral operators with kernel $K_{\lambda }\left( x,t,g\right) $ is discussed and theorems about the point convergence of this family at ${p}$--Lebesgue points of a function in $L_{p}$ are given.
S. Esen Almali, D. Kayabasi
openaire   +2 more sources

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