Extreme Problems Related to the Approximation of the Lebesgue Constant of a Fourier Operator by a Logarithmic Function
| Autor: | I. A. Shakirov |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Fourier operator
Reduction (recursion theory) Logarithm General Mathematics 010102 general mathematics Mathematical analysis Function (mathematics) Lebesgue integration 01 natural sciences 010305 fluids & plasmas symbols.namesake 0103 physical sciences symbols 0101 mathematics Algebra over a field Constant (mathematics) Mathematics |
| Zdroj: | Lobachevskii Journal of Mathematics. 41:2287-2294 |
| ISSN: | 1818-9962 1995-0802 |
| Popis: | The Lebesgue constant corresponding to the classical Fourier operator is approximated by a logarithmic function depending on two parameters. The difference between the Lebesgue constant and this function is studied, various extreme problems are considered, algorithms of successive reduction of values of the obtained best uniform approximations are given. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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