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On Lp-Approximation by a Linear Combination of a New Sequence of Linear Positive Operators
Linear positive operators Linear combination Integral modulus of smoothness Steklov means
2010/3/1
In the present paper, we study some direct results in Lp -approximation by a linear combination of a new sequence of linear positive operators. The error in the approximation is estimated in terms of ...
About a Class of Linear Positive Operators Obtained by Choosing the Nodes
Linear positive operators convergence theorem the first order modulus of smoothness approximation theorem
2010/1/25
In this paper we consider the given linear positive operators and with their help, we construct linear positive operators . We study the convergence, the evaluation for the rate of convergence in t...
On Simultaneous Approximation by a Linear Combination of a New Sequence of Linear Positive Operators
Simultaneous approximation Linear positive operators Linear combination Voronovskaja-type asymptotic formula Modulus of continuity
2010/2/26
In [1] we introduced a new sequence of linear positive operators Mn to approximate unbounded continuous functions of exponential growth on [0,\infty). As this sequence is saturated with O(n-1), to acc...
On a Certain Family of Linear Positive Operators
Linear Positive Operators inear positive operatorsl approximation properties
2010/3/5
In this study, a family of linear positive operators, which includes the sequence of linear positive operators built in a paper of A. D. Gadjiev and I. I. Ibragimov and later investigated by B. Wood a...
