2010•Mathematical NotesRequires access

Best approximations of periodic functions of several variables from the classes B Ω p, θ

S. A. Stasyuk

Open publisher page 5 citations

Abstract

We obtain order-sharp estimates of best approximations for the classes B Ω of periodic functions of several variables by trigonometric polynomials whose spectra are generated by the level surfaces of the function Ω(t).

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We obtain order-sharp estimates of best approximations for the classes B Ω of periodic functions of several variables by trigonometric polynomials whose spectra are generated by the level surfaces of the function Ω(t).

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We obtain order-sharp estimates of best approximations for the classes B Ω of periodic functions of several variables by trigonometric polynomials whose spectra are generated by the level surfaces of the function Ω(t).

Key concepts: Mathematics, Periodic function, Approximations of π, Trigonometric polynomial, Trigonometry, Order (exchange), Trigonometric functions, Function (biology)

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