Results 21 to 30 of about 7,254,043 (273)

Better Uniform Approximation by New Bivariate Bernstein Operators

open access: yesInternational Journal of Analysis and Applications, 2022
In this paper we introduce new bivariate Bernstein type operators BnM,i(f; x, y), i = 1, 2, 3. The rates of approximation by these operators are calculated and it is shown that the errors are significantly smaller than those of ordinary bivariate ...
Asha Ram Gairola   +4 more
doaj   +1 more source

Lupaş post quantum Bernstein operators over arbitrary compact intervals

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
This paper deals with Lupaş post quantum Bernstein operators over arbitrary closed and bounded interval constructed with the help of Lupaş post quantum Bernstein bases.
A. Khan   +3 more
doaj   +1 more source

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

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

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

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 Slater's Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces [PDF]

open access: yes, 2008
Some inequalities of the Slater type for convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir, Sever S
core   +5 more sources

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

On the Rates of Approximation of Bernstein Type Operators

open access: yesJournal of Approximation Theory, 2001
The asymptotic behavior of two Bernstein-Type operators is studied. In the first case, the rate of convergence of a Bernstein operator for a bounded founction \(f\) is studied at points \(x\) where \(f(x+)\) and \(f(x-)\) exist. In the second case, the rate of convergence of a Szász operator for a function of \(f\) whose derivative is of bounded ...
Zeng, X. M., Cheng, F. F.
openaire   +3 more sources

Bernstein-Durrmeyer type operators [PDF]

open access: yes, 1981
RésuméWe study here a new kind of modified Bernstein polynomial operators on L1(0, 1) introduced by J. L. Durrmeyer in [4]. We define for f integrable on [0, 1] the modified Bernstein polynomial Mn f: Mnf(x) = (n + 1) ∑nk = oPnk(x)∝10 Pnk(t) f(t) dt.
Heiner Gonska   +5 more
core   +1 more source

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