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Certain family of Durrmeyer type operators

Vijay Gupta (2009)

Annales UMCS, Mathematica

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.

Constants of strong uniqueness of minimal norm-one projections

A. Micek (2011)

Banach Center Publications

In this paper we calculate the constants of strong uniqueness of minimal norm-one projections on subspaces of codimension k in the space l ( n ) . This generalizes a main result of W. Odyniec and M. P. Prophet [J. Approx. Theory 145 (2007), 111-121]. We applied in our proof Kolmogorov’s type theorem (see A. Wójcik [Approximation and Function Spaces (Gdańsk, 1979), PWN, Warszawa / North-Holland, Amsterdam, 1981, 854-866]) for strongly unique best approximation.

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