Results 1 to 10 of about 150 (46)

A general method to study the convergence of nonlinear operators in Orlicz spaces

Advanced Nonlinear Studies, 2022
We continue the work started in a previous article and introduce a general setting in which we define nets of nonlinear operators whose domains are some set of functions defined in a locally compact topological group. We analyze the behavior of such nets
Vinti Gianluca, Zampogni Luca
doaj   +1 more source

On approximation properties of some non-positive Bernstein-Durrmeyer type operators

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper we shall introduce a new type of Bernstein Durrmeyer operators which are not positive on the entire interval [0, 1]. For these operators we will study the uniform convergence on all continuous functions on [0, 1] as well as a result given ...
Vasian Bianca Ioana
doaj   +1 more source

Skew-symmetric and essentially unitary operators via Berezin symbols

Open Mathematics, 2020
We characterize skew-symmetric operators on a reproducing kernel Hilbert space in terms of their Berezin symbols. The solution of some operator equations with skew-symmetric operators is studied in terms of Berezin symbols.
Altwaijry Najla, Garayev Mubariz, Guediri Hocine, Baazeem Amani   +3 more
doaj   +1 more source

Positive operators and approximation in function spaces on completely regular spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 61, Page 3841-3871, 2003., 2003
We discuss the approximation properties of nets of positive linear operators acting on function spaces defined on Hausdorff completely regular spaces. A particular attention is devoted to positive operators which are defined in terms of integrals with respect to a given family of Borel measures.
Francesco Altomare, Sabrina Diomede
wiley   +1 more source

A General Approximation Approach for the Simultaneous Treatment of Integral and Discrete Operators

Advanced Nonlinear Studies, 2018
In this paper, we give a unitary approach for the simultaneous study of the convergence of discrete and integral operators described by means of a family of linear continuous functionals acting on functions defined on locally compact Hausdorff ...
Vinti Gianluca, Zampogni Luca
doaj   +1 more source

New modification of the Post Widder operators preserving exponential functions

Arab Journal of Basic and Applied Sciences
The current article deals with a modification of the Post-Widder operators which reproduce the exponential functions both [Formula: see text] and [Formula: see text] for [Formula: see text] The central moments, uniform convergence of the operators and ...
Melek Sofyalıoğlu Aksoy
doaj   +1 more source

Note on the shape-preservation of a new class of Kantorovich-type operators via divided differences

Demonstratio Mathematica
Shape-preserving approximation is a significant approximation method that has many application areas, such as computer-based geometric design, image processing, geodesy, chemistry, and robotics.
Turhan Nezihe
doaj   +1 more source

Estimates for Durrmeyer-type exponential sampling series in Mellin-Orlicz spaces

Demonstratio Mathematica
This study examines Durrmeyer-type exponential sampling series to obtain a quantitative estimate by using the concept of the logarithmic modulus of smoothness defined with the help of a suitable modular functional on Mellin-Orlicz spaces.
Kangal Esma, Kantar Ülkü Dinlemez
doaj   +1 more source

Multidimensional Kantorovich modifications of exponential sampling series

Quaestiones Mathematicae, 2023
Tuncer acar, Sadettin KurŞun, Metin Turgay   +2 more
exaly  

Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials

SIAM Journal on Mathematical Analysis, 2022
Iveta Semorádová, Petr Siegl
exaly