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1. Estimate for the Rate of Uniform Convergence of the Fourier Series of a Continuous Periodic Function of Bounded -Variation.

Author

Semenova, T. Yu.

Subjects
*CONTINUOUS functions, *PERIODIC functions, *FOURIER series
Abstract

We obtain an estimate for the convergence rate of the Fourier series of a continuous periodic function in terms of the modulus of continuity of the function and the value of its -variation. We prove that the leading term of the estimate is sharp. [ABSTRACT FROM AUTHOR]

Published
2024
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