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- Title
Fourier-Haar coefficients and properties of continuous functions.
- Authors
Tsagareishvili, V.
- Abstract
It is well known that if the Fourier-Haar coefficients have a certain order or if a certain series composed of the Fourier-Haar coefficients of a function f( x) ∈ C(0, 1) converges, then the function has a certain form. In the present paper, we prove that not only the Fourier-Haar coefficients, but also the difference of these coefficients possess these properties.
- Subjects
HAAR system (Mathematics); CONTINUOUS functions; ABEL integral equations; BINOMIAL coefficients; NUMERICAL solutions to equations; MATHEMATICAL research; INTEGRAL theorems
- Publication
Mathematical Notes, 2010, Vol 87, Issue 3/4, p416
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434610030132