V. Sh. Tsagareishvili, “The Fourier Coefficients of Continuous Functions with Respect to Certain Orthonormal Systems”, Mat. Zametki, 2016, Volume 99, Issue 3,Pages <nobr>428

The Fourier Coefficients of Continuous Functions with Respect to Certain Orthonormal Systems

V. Sh. Tsagareishvili

Tbilisi Ivane Javakhishvili State University

Abstract: The properties of the Fourier coefficients for some classes of functions with respect to both the Haar system and general orthonormal systems are studied. It is established that the results obtained in the paper cannot be strengthened.

Keywords: Fourier coefficient, orthonormal system, Haar system, Rademacher function, modulus of continuity, Bessel's inequality.

UDC: 517

Received: 11.03.2014
Revised: 03.07.2015

DOI: 10.4213/mzm10474