On some classes of Bernstein type operators which preserve the global smoothness in the case of univariate functions.
Cleciu, Voichiţa (2003)
Acta Universitatis Apulensis. Mathematics - Informatics
Similarity:
Displaying similar documents to “Convergence of iterates of linear operators and the Kelisky-Rivlin type theorems”
On some classes of Bernstein type operators which preserve the global smoothness in the case of univariate functions.
Certain family of Durrmeyer type operators
Vijay Gupta (2009)
Annales UMCS, Mathematica
Similarity:
The present paper is a continuation of the earlier work of the author. Here we study the rate of convergence of certain Durrmeyer type operators for function having derivatives of bounded variation.
Limit semigroups of Bernstein-Schnabl operators associated with positive projections
Francesco Altomare (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
On the degree of approximation by Bernstein operators.
Păltănea, Radu (1998)
General Mathematics
Similarity:
About some linear operators defined by infinite sums.
Pop, Ovidiu T. (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Similarity:
Approximation of a function by Kantorovich type operators
Q. Razi (1989)
Matematički Vesnik
Similarity:
The evaluation of the remainders in approximation formulas by linear positive operators of interpolatory type.
Stancu, D.D. (1998)
General Mathematics
Similarity:
Asymptotic Formulae for Bernstein-Schnabl Operators and Smoothness
Francesco Altomare (2009)
Bollettino dell'Unione Matematica Italiana
Similarity:
Of concern are Bernstein-Schnabl operators associated with a continuous selection of Borel measures on the unit interval. With respect to these sequences of positive linear operators we determine the classes of all continuous functions verifying a pointwise asymptotic formula or a uniform one. Our methods are essentially based on a general characterization of the domains of Feller semigroups in terms of asymptotic formulae and on the determination of both the saturation class of Bernstein-Schnabl...
The sharpness of convergence results for -Bernstein polynomials in the case
Sofiya Ostrovska (2008)
Czechoslovak Mathematical Journal
Similarity:
Due to the fact that in the case the -Bernstein polynomials are no longer positive linear operators on the study of their convergence properties turns out to be essentially more difficult than that for In this paper, new saturation theorems related to the convergence of -Bernstein polynomials in the case are proved.