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)

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.


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

Korneichuk N.P. Extremum problems in approximation theory, 1976.




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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