The best approximation of classes $$$W^r H^{\omega}$$$ by algebraic polynomials in $$$L_1$$$ space

A.M. Kogan (Dnipropetrovsk State University)

Abstract


We consider asymptotic behavior of the best approximation of classes $$$W^r H^{\omega}$$$ by algebraic polynomials in $$$L_1$$$ space.

References


Korneichuk N.P., Ligun A.A., Doronin V.G. Approximation with constraints, 1982. (in Ukrainian)

Korneichuk N.P. Exact constants in approximation theory, Nauka, 1987. (in Russian)

Korneichuk N.P. Extremum problems in approximation theory, 1976. (in Russian)

Motornyi V.P., Motornaya O.V. "On the best approximation of the classes $$$W^r H^{\omega}$$$ by algebraic polynomials in $$$L_1$$$", East. J. Approx., 1995; 1(3): pp. 309-339.




DOI: https://doi.org/10.15421/249808

  

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Copyright (c) 1998 A.M. Kogan

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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