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Korovkin type theorem and iterates of certain positive linear operators
Iterates of operators degree of approximation K-functionals modulus of smoothness
2011/1/18
In this paper we prove Korovkin type theorem for iterates of general positive linear operators T :C [0, 1] ! C [0, 1] and derive quantitative estimates in terms of modulus of smoothness. In particular...
Korovkin-type Theorems and Approximation by Positive Linear Operators
Korovkin-type theorem positive operator approximation by positive operators
2010/12/6
This survey paper contains a detailed self-contained introduction to Korovkin-type theorems
and to some of their applications concerning the approximation of continuous functions as well
as of Lp-fu...
Korovkin Type Error Estimates for Positive Linear Operators Involving Some Special Functions
Positive linear operators Korovkin-Bohman theorem Bernstein power series generating function, Pochhammer symbol hypergeometric function Peetre´ s K-functional first and second order modulus of continuities functional differential equation
2010/2/25
In the present paper, we introduce a new sequence of linear positive operators with the help of generating functions. We obtain some Korovkin type approximation properties for these operators and comp...
Higher Order Generalization of Positive Linear Operators Defined by a Class of Borel Measures
Statistical convergence A-statistical convergence positive linear operators regular matrices the elements of the Lipschitz class Korovkin-type approximation theorem
2010/2/26
In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2]. Then, using ...