Results 81 to 90 of about 158 (155)

ℐ-αβ-statistical relative uniform convergence for double sequences and its applications

Demonstratio Mathematica
This article introduces a novel concept of convergence, referred to as ℐ{\mathcal{ {\mathcal I} }}-αβ\alpha \beta -statistical relative uniform convergence, for double sequences of functions.
Bayram Nilay Sahin, Yıldız Sevda
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

A note on linear compositions of the Mellin convolution operators in the weighted Mellin-Lebesgue spaces

Demonstratio Mathematica
In this article, we express a numerical form of the convergence using the suitable modulus of smoothness for linear compositions of the Mellin convolution operators.
Ozsarac Firat
doaj   +1 more source

Λ²-statistical convergence and its application to Korovkin second theorem

, 2019
In this paper, we use the notion of strong (N, λ²)−summability to generalize the concept of statistical convergence. We call this new method a λ²−statistical convergence and denote by S λ₂ the set of sequences which are λ²−statistically convergent.
LOKU, Valdete, BRAHA , Naim L.
core   +1 more source

On the degree of approximation by new Durrmeyer type operators 1

, 2010
In this paper, we define a new kind of positive linear operators and study basic properties as well as Voronovskaya type results. In the last section of this paper we establish the error estimation for simultaneous approximation in terms of higher order ...
Suresh P Singh, Naokant Deo
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Q-deformed and λ-parametrized A-generalized logistic function induced Banach space valued multivariate multi-layer neural network approximations [PDF]

Here we research the multivariate quantitative approximation of Banach space valued continuous multivariate functions on a box or RN, N ∈ N, by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature type neural network ...
ANASTASSIOU, George A.
core   +1 more source

Equivalence Between K-functionals Based on Continuous Linear Transforms [PDF]

, 2007
2000 Mathematics Subject Classification: 46B70, 41A10, 41A25, 41A27, 41A35, 41A36, 42A10.The paper presents a method of relating two K-functionals by means of a continuous linear transform of the function.
Draganov, Borislav, Ivanov, Kamen
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Korovkin type theorem in the space $C_{b}[0,\infty)$: Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary

, 2016
A Korovkin type theorem is established in the space $C_{b}[0,\infty)$ of all continuous and bounded functions on $[0,\infty)$ for a sequence of positive linear operators, the approximation error being estimated with the aid of the usual modulus of ...
FINTA, Zoltán
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Multivariate Voronovskaya type asymptotic expansions for normalized bell and squashing type neural network operators

, 2012
Here we introduce the multivariate normalized bell and squashing type neural net-work operators of one hidden layer. We derive multivariate Voronovskaya type asymptotic expansions for the error of approximation of these operators to the unit operator ...
Anastassiou, George A.
core  

Discrete operators associated with the Durrmeyer operator [PDF]

, 2015
In [3] the author constructed discrete operators associated with cer- tain integral operators using a probabilistic approach. In this article we obtain positive linear operators of discrete type associated with the classical Durrmeyer operator with the ...
BIROU, Marius
core