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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.