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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2024 Volume 64, Number 2, Pages 220–224 (Mi zvmmf11700)

General numerical methods

Approximation of continuous functions by classical sincs and values of operators $C_\lambda$

V. N. Pasechnik

Saratov National Research State University, 410012, Saratov, Russia

Abstract: The properties of sinc approximations are considered. Previously used classical sinc-approximations provide poor approximation quality, while a new operator generalizing sinc approximations yields better results. The numerical implementation of an experiment is presented in plots.

Key words: sinc approximation, interpolation operator, approximation of continuous functions, numerical experiment, approach by operator.

UDC: 519.65

Received: 05.05.2023
Revised: 29.09.2023
Accepted: 19.10.2023

DOI: 10.31857/S0044466924020034


 English version:
Computational Mathematics and Mathematical Physics, 2024, 64:2, 206–210

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© Steklov Math. Inst. of RAS, 2025