P. A. Andrianov, “Sharp estimates of the deviation from Fourier–Haar sums for continuous functions of two variables”, Zap. Nauchn. Sem. POMI, 2015, Volume 434,Pages <nobr>19

Sharp estimates of the deviation from Fourier–Haar sums for continuous functions of two variables

P. A. Andrianov

St. Petersburg State University, St. Petersburg, Russia

Abstract: A sharp estimate of the deviation from partial Fourier–Haar sums for periodic continuous function in terms of the modulus of continuity is obtained.

Key words and phrases: periodic wavelets, separable multiresolution analysis, Haar basis, modulus of continuity.

UDC: 517.5

Received: 14.05.2015