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42a10.

Bulletin of the London Mathematical Society (1)

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BEST CONSTANTS OF HARMONIC APPROXIMATION ON CERTAIN CLASSES OF DIFFERENTIABLE FUNCTIONS
MICHAEL I. GANZBURG
Journal:

Bulletin of the London Mathematical Society / Volume 35 / Issue 3 / May 2003

Published online by Cambridge University Press:

12 May 2003, pp. 355-361

Print publication:

May 2003
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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.