SHARP CONSTANT IN ESTIMATIONS OF SERIES OF FOURIER - HAAR COEFFICIENTS VIA VARIATION AS A MAXIMUM OF SOME FUNCTION |
| 6 | |
| 2010 |
| scientific article | 517.518.24, 517.518.3 | ||
| 138-142 | Haar function system, Fourier - Haar coefficients, functions of bounded variation |
| It is shown that the sharp constant are the Fourier - Haar coefficients of function f, is equal to 1/ ? power of the maximum of some continuous function
? L on the interval [0; 1]. As an example, a positive variation function is presented that provides an equality in this
estimation. |
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