Results 11 to 20 of about 43,774 (252)

Bernstein-type operators on triangles

open access: yesJournal of Numerical Analysis and Approximation Theory, 2009
The aim of the paper is to construct some univariate Bernstein-type operators on triangle, their product and Boolean sum, which interpolate a given function on the edges respectively at the vertices of triangle.
Petru Blaga, Gheorghe Coman
doaj   +4 more sources

Perturbed Bernstein-type operators [PDF]

open access: yesAnalysis and Mathematical Physics, 2020
The present paper deals with modifications of Bernstein, Kantorovich, Durrmeyer and genuine Bernstein-Durrmeyer operators. Some previous results are improved in this study. Direct estimates for these operators by means of the first and second modulus of continuity are given. Also the asymptotic formulas for the new operators are proved.
Ana-Maria Acu, Heiner Gonska
openaire   +4 more sources

Some Bernstein–Durrmeyer-type operators [PDF]

open access: yesMethods and Applications of Analysis, 1997
With a view to generalize Bernstein and Szász operators \textit{A. Meir} and \textit{A. Sharma} [Indag. Math. 29, 395-403 (1967; Zbl 0176.34801)] had introduced two linear positive operators, the first one being based on Laguerre polynomials while the second on Hermite polynomials.
Chen, Weiyu, Sharma, A.
openaire   +2 more sources

Differentiated Bernstein type operators

open access: yesDolomites Research Notes on Approximation, 2020
1. The second author has been supported within TUBITAK (The Scientific and Technological Research Council of Turkey) 1002 -Project 119F191 and the third author would like to thank to TUBITAK for their financial supports during his PhD studies.
Aral, Ali, Acar, Tuncer, Ozsarac, Firat
openaire   +4 more sources

On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators

open access: yesJournal of Function Spaces, 2020
In this article, we establish an extension of the bivariate generalization of the q-Bernstein type operators involving parameter λ and extension of GBS (Generalized Boolean Sum) operators of bivariate q-Bernstein type.
Edmond Aliaga, Behar Baxhaku
doaj   +1 more source

Modified Operators Interpolating at Endpoints

open access: yesMathematics, 2021
Some classical operators (e.g., Bernstein) preserve the affine functions and consequently interpolate at the endpoints. Other classical operators (e.g., Bernstein–Durrmeyer) have been modified in order to preserve the affine functions.
Ana Maria Acu   +2 more
doaj   +1 more source

Bézier-Bernstein-Schurer type operators

open access: yesGeneral Mathematics, 2022
Abstract We define Bézier variant of the κ- Bernstein-Schurer operators and study its various approximation properties. We present a direct theorem with the help of the Ditzian-Totik modulus of continuity. The rate of approximation for absolutely functions having a derivative equivalent to a bounded variation is also obtained.
Arun Kajla, null Sahil, Priya Sehrawat
openaire   +1 more source

Iterates of a modified Bernstein type operator

open access: yesJournal of Numerical Analysis and Approximation Theory, 2019
Using the weakly Picard operators technique and the contraction principle, we study the convergence of the iterates of some modified Bernstein type operators.
Teodora Catinas
doaj   +7 more sources

Plethystic Vertex Operators and Boson-Fermion Correspondences [PDF]

open access: yes, 2016
We study the algebraic properties of plethystic vertex operators, introduced in J. Phys. A: Math. Theor. 43 405202 (2010), underlying the structure of symmetric functions associated with certain generalized universal character rings of subgroups of the ...
Fauser, Bertfried   +2 more
core   +2 more sources

Maximum principles and Aleksandrov-Bakelman-Pucci type estimates for non-local Schr\"odinger equations with exterior conditions [PDF]

open access: yes, 2019
We consider Dirichlet exterior value problems related to a class of non-local Schr\"odinger operators, whose kinetic terms are given in terms of Bernstein functions of the Laplacian.
Biswas, Anup, Lőrinczi, József
core   +2 more sources

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