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On the Durrmeyer-Type Modification of Some Discrete Approximation Operators
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Paulina Pych-Taberska
Published/Copyright:
February 18, 2010
Abstract
In [Kratz and Stadtmüller, J. Approximation Theory 54: 326-337, 1988], for continuous functions f from the domain of certain discrete operators Lnthe inequalities are proved concerning the modulus of continuity of Lnf. Here we present analogues of the results obtained for the Durrmeyer-type modification 
of Ln. Moreover, we give the estimates of the rate of convergence of 
in Hölder-type norms
Received: 1993-05-05
Published Online: 2010-02-18
Published in Print: 1994-October
© 1994 Plenum Publishing Corporation
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Articles in the same Issue
- Boundary Value Problems of Electroelasticity with Concentrated Singularities
- Passage of the Limit Through the Double Denjoy Integral
- On Some Properties of Solutions of Second Order Linear Functional Differential Equations
- Generalized Sierpinski Sets
- Two-Weighted Estimates for Some Integral Transforms in the Lebesgue Spaces with Mixed Norm and Imbedding Theorems
- Linear Dynamical Systems of Higher Genus
- On the Durrmeyer-Type Modification of Some Discrete Approximation Operators
- Fractional Type Operators in Weighted Generalized Hölder Spaces
- Complexity of the Decidability of the Unquantified Set Theory with A Rank Operator
- On Perfect Mappings from ℝ to ℝ
