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BEST CONSTANTS OF HARMONIC APPROXIMATION ON CERTAIN CLASSES OF DIFFERENTIABLE FUNCTIONS

Published online by Cambridge University Press:  12 May 2003

MICHAEL I. GANZBURG
MICHAEL I. GANZBURG
Affiliation:
Department of Mathematics, Hampton University, Hampton, Virginia 23668, [email protected]
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Abstract

A relatively long-standing problem concerning the best constants of approximation by entire functions of exponential type on the class $W^rH_{\omega}$ is solved. The central tool is a limit relation between the best constants of approximation by trigonometric polynomials and entire functions of exponential type on $W^rH_{\omega}$ and its periodic analogue.

Keywords

41A4442A10.
Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 3 , May 2003 , pp. 355 - 361
Copyright
© The London Mathematical Society 2003

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