Results 81 to 90 of about 165 (152)

Operator norms of Gauß-Weierstraß operators and their left quasi interpolants

, 2019
The paper deals with the Gauß–Weierstraß operators Wn and their left quasi interpolants W [r]. The quasi interpolants were defined by Paul Sablonni`ere in 2014.
ABEL, Ulrich
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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

Multivariate and abstract approximation theory for Banach space valued functions

Demonstratio Mathematica, 2017
Here we study quantitatively the high degree of approximation of sequences of linear operators acting on Banach space valued Fréchet differentiable functions to the unit operator, as well as other basic approximations including those under convexity ...
Anastassiou George A.
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Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels

Demonstratio Mathematica, 2016
In this paper, we obtain strong localization results and local direct results in the approximation of continuous functions by the non-truncated max-product sampling operators based on Fejér and sinc (Wittaker)-type kernels.
Coroianu Lucian, Gal Sorin G.
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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.
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On two modified Phillips operators: Dedicated to Professor Heiner Gonska on the occasion of his 70th anniversary.

, 2019
In this note we introduce two new modified Phillips operators G1 and n. We obtain direct estimates for approximation of bounded continuous functions, defined on [0, ∞) by G1 , as well as for approximation of unbounded continuous functions by G2 We ...
TACHEV, Gancho
core  

On the approximation of Kantorovich-type Szàsz-Charlier operators

Demonstratio Mathematica
In this study, we introduce the Kantorovich-type modified Szàsz-Charlier operators and examine their approximation properties within the framework of fractional modeling and control theory. These operators are defined using the Korovkin-type theorem, and
Karabıyık Ümit, Ayık Adem
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Overiteration of d-variate tensor product Bernstein operators: A quantitative result (Dedicated to the memory of Professor Sorin Gal)

Extending an earlier estimate for the degree of approximation of over iterated univariate Bernstein operators towards the same operator of degree one, it is shown that an analogous result holds in the d-variate case.
ACU, Ana-Maria, GONSKA, Heiner
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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

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