Results 31 to 40 of about 71 (70)

Approximation results in Orlicz spaces by modified sampling Kantorovich operators

open access: yesDemonstratio Mathematica
This paper deals with the modified sampling Kantorovich operators. We start by presenting the primary notations of Orlicz spaces and fundamental auxiliary results.
Turgay Metin
doaj   +1 more source

On the approximation by convolution operators in homogeneous Banach spaces on R^d [PDF]

open access: yes, 2014
AMS Subject Classification 2010: 41A25, 41A35, 41A40, 41A63, 41A65, 42A38, 42A85, 42B10, 42B20The paper presents a description of the optimal rate of approximation as well as of a broad class of functions that possess it for convolution operators acting ...
Draganov, Borislav
core  

On convergence of a kind of complex nonlinear Bernstein operators

open access: yes, 2015
The present article deals with the approximation properties and Voronovskaja type results with quantitative estimates for a certain class of com- plex nonlinear Bernstein operators (NBnf) of the form ...
KARSLI, Harun, UNAL, Esra
core  

Global smoothness preservation and simultaneous approximation by multivariate discrete operators: Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary

open access: yes, 2016
In this article we study the multivariate generalized discrete singular operators defined on R N , N ≥ 1, regarding their simultaneus global smoothness preservation property with respect to Lp norm for 1 ≤ p ≤ ∞, by using higher order moduli of ...
KESTER, Merve, ANASTASSIOU, George A.
core  

Hyers-Ulam stability of some positive linear operators

open access: yes
The present article deals with the Hyers-Ulam stability of positive linear operators in approximation theory. We discuss the HU-stability of Bernstein-Schurer type operators, Bernstein-Durrmeyer operators and find the HU-stability constant for these ...
KAUR, Jaspreet, GOYAL, Meenu
core   +1 more source

Approximation of Univariate Set-Valued Functions - an Overview [PDF]

open access: yes, 2007
2000 Mathematics Subject Classification: 26E25, 41A35, 41A36, 47H04, 54C65.The paper is an updated survey of our work on the approximation of univariate set-valued functions by samples-based linear approximation operators, beyond the results reported in ...
Dyn, Nira, Mokhov, Alona, Farkhi, Elza
core  

On the iterates of Jackson type operator GS,N in Hilbert space

open access: yes, 2019
In this paper we study the limit of the iterates of Jackson type operator. Our results continue the works of Badea [2] and Nagler et al. [9, 10]. The proofs are based on spectral theory of linear operators and are performed at first for Hilbert space and
Zapryanova, T, Souroujon, D
core  

On the Approximation by Convolution Operators in Homogeneous Banach Spaces of Periodic Functions

open access: yes, 2011
AMS Subject Classification 2010: 41A25, 41A27, 41A35, 41A36, 41A40, 42Al6, 42A85.The paper is concerned with establishing direct estimates for convolution operators on homogeneous Banach spaces of periodic functions by means of appropriately defined ...
Draganov, Borislav R.
core  

Overiterated Linear Operator and Asymptotic Behaviour of Semigroups

open access: yes, 2008
The results provided hereby are related to the asymptotic behaviour of certain strongly continuous semigroups, which may be expressed in terms of iterates of positive linear operators, in the sense of Altomare’s theory. We present some applications to
RASA I., ATTALIENTI, Antonio
core  

A Voronovskaya-type theorem for a certain nonlinear Bernstein operators

open access: yes, 2015
The present paper concerns with the nonlinear Bernstein operators NBnf of the form ... acting on bounded functions on an interval [0; 1]; where Pn;k satisfy some suitable assumptions.
ATIN, Huseyin Erhan, KARSLI, Harun
core  

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