Results 61 to 70 of about 58,895 (80)

UNIFORM CONTINUITY OF THE URYSOHN OPERATOR IN SUBESPACES OF THE SPACE OF ESSENTIALLY BOUNDED VECTOR FUNCTIONS

Functional Differential Equations
The criterion for the action and the uniform continuity of the nonlinear integral operator of Urysohn from the space of measurable functions with compact range in the space of continuous functions has been obtained, when the functions take values in ...
E. MOLCHANOVA-ALVES, M. Alves, J. Munembe, Y. Nepomnyashchikh   +3 more
semanticscholar   +1 more source

On approximation properties of Urysohn integral operators

2002
Let \(G\) be a locally compact Hausdorff topological space provided with a Borel measure \(\mu\). There are studied problems of approximation of a function \(f\) by means of a family of operators \[ (T_wf)(s)= \int_GK_w \bigl (s,t,f(t)\bigr) d\mu(t),\quad w0\) (dependent on \(f)\) for functions \(f\) belonging to a modular space generated by the sum of
BARDARO, Carlo, MANTELLINI, Ilaria
openaire   +2 more sources

Urysohn integral operators with homogeneous kernel: Approximation properties in modular spaces

2002
The main results of the paper are concerned with general modular approximation theorems in modular spaces for a net of operators \(\{T_w\}\) of type \[ (T_wf)(s)=\int _GK_w(s,t,f(t)) d\mu (t),\quad s\in G, \] where \(G\) is a locally compact topological group, \(\mu \) is the Haar measure on the Borel \(\sigma \)-algebra \({\mathcal B}\) of \(G\), and ...
BARDARO, Carlo, VINTI, Gianluca
openaire   +2 more sources

Uniform modular integrability and convergence properties for a class of Euryon integral operators in function space

2006
The aim of the work is to generalize a modular convergence result, obtained by the authors themselves in a previous paper and concerning a class of Euryon operators in suitable Orlicz spaces of a locally compact Hausdorff topological group G. The generalization is twofold: on one hand, the algebraic structure of the underlying space G is removed, so ...
BARDARO, Carlo, MANTELLINI, Ilaria
openaire   +2 more sources

Numerical solution of Urysohn integral equations using the iterated collocation method

International Journal of Computational Mathematics, 2008
K. Maleknejad, H. Derili, S. Sohrabi
semanticscholar   +1 more source

On the convexity of images of nonlinear integral operators

Mathematical Notes, 2016
M. Kokurin
semanticscholar   +2 more sources

On generalized solvability of variable nonlinear integral equations on cones

, 2021
M. Kokurin
semanticscholar   +1 more source

On multidimensional Urysohn type generalized sampling operators

Mathematical Foundations of Computing, 2021
Harun Karsli
exaly  

An Application of Urysohn Integral Equation via Complex Partial Metric Space

Mathematics, 2022
Rajagopalan Ramaswamy, Gunaseelan Mani, Stojan Radenovic   +2 more
exaly  

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

Mathematical Methods in the Applied Sciences, 2019
Sevgi Esen Almali
exaly