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
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Displaying similar documents to “Limit semigroups of Bernstein-Schnabl operators associated with positive projections”
On some classes of Bernstein type operators which preserve the global smoothness in the case of univariate functions.
Asymptotic Formulae for Bernstein-Schnabl Operators and Smoothness
Francesco Altomare (2009)
Bollettino dell'Unione Matematica Italiana
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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 evaluation of the remainders in approximation formulas by linear positive operators of interpolatory type.
Stancu, D.D. (1998)
General Mathematics
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Convergence of iterates of linear operators and the Kelisky-Rivlin type theorems
Jacek Jachymski (2009)
Studia Mathematica
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Let X be a Banach space and T ∈ L(X), the space of all bounded linear operators on X. We give a list of necessary and sufficient conditions for the uniform stability of T, that is, for the convergence of the sequence of iterates of T in the uniform topology of L(X). In particular, T is uniformly stable iff for some p ∈ ℕ, the restriction of the pth iterate of T to the range of I-T is a Banach contraction. Our proof is elementary: It uses simple facts from linear algebra, and the Banach...
On the degree of approximation by Bernstein operators.
Păltănea, Radu (1998)
General Mathematics
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Approximation of a function by Kantorovich type operators
Q. Razi (1989)
Matematički Vesnik
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Certain family of Durrmeyer type operators
Vijay Gupta (2009)
Annales UMCS, Mathematica
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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.
On Bernstein type operators
Q. Razi, S. Umar (1987)
Matematički Vesnik
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Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions
Heiner Gonska, Radu Păltănea (2010)
Czechoslovak Mathematical Journal
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We introduce and study a one-parameter class of positive linear operators constituting a link between the well-known operators of S. N. Bernstein and their genuine Bernstein-Durrmeyer variants. Several limiting cases are considered including one relating our operators to mappings investigated earlier by Mache and Zhou. A recursion formula for the moments is proved and estimates for simultaneous approximation of derivatives are given.