Best Constants of Harmonic Approximation on Certain Classes of Differentiable Functions | Zendy

Ganzburg Michael I. | Zendy

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Best Constants of Harmonic Approximation on Certain Classes of Differentiable Functions

Author(s) -

Ganzburg Michael I.

Publication year - 2003

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/s0024609302001753

Subject(s) - mathematics , exponential function , exponential type , differentiable function , trigonometry , class (philosophy) , limit (mathematics) , trigonometric polynomial , type (biology) , harmonic , constant (computer programming) , pure mathematics , harmonic function , mathematical analysis , ecology , physics , quantum mechanics , artificial intelligence , computer science , biology , programming language

A relatively long‐standing problem concerning the best constants of approximation by entire functions of exponential type on the class W r H ω 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 r H ω and its periodic analogue. 2000 Mathematics Subject Classification 41A44, 42A10.

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