RUS  ENG
Full version
JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2013 Volume 53, Number 10, Pages 1603–1609 (Mi zvmmf9924)

This article is cited in 1 paper

A family of operators with discontinuous ranges and approximation and restoration of continuous functions

A. P. Khromov, G. V. Khromova

Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russia

Abstract: A class of operators whose construction is similar to but simpler than the construction of Landau operators is the basis for the design of a modified family of operators with discontinuous ranges. This family has good approximation properties with respect to approximation and restoration problems for continuous functions.

Key words: function approximation, Landau operator, function restoration, regularization, error estimates.

UDC: 519.642.8

Received: 30.04.2013

DOI: 10.7868/S0044466913100104


 English version:
Computational Mathematics and Mathematical Physics, 2013, 53:10, 1421–1427

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024