The best approximation on $[0,1)$ of analytic in the unit disk functions with nonnegative taylor coefficients |
|
| Author |
Lviv National University, Faculty of Mechanics and Mathematics.
|
| Abstract |
The lower estimates of the best approximation on $[0, 1)$ of analytic in the unit disk functions with nonnegative Taylor coefficients by the algebraic polynomials with real coefficients is investigated.
|
| Keywords |
best approximation, analytic functions in the unit disk, nonnegative Taylor coefficients, algebraic polynomials with real coefficients, lower estimates, approximation theory, complex analysis
|
| DOI |
doi:10.30970/ms.14.1.85-88
|
Reference |
1. Шеремета М. М., Боднар Р. Д. Про швидкість збіжності часткових сум ряду Діріхле і раціональну апроксимацію аналітичних функцій, Мат. методи і фіз.-мех. поля, 39 (1996), № 2, 116–122.
2. Гончаров В. Л. Теория интерполяции и аппроксимации функций, M.: ГИТТЛ, 1954, 372 с. |
| Pages |
85-88
|
| Volume |
14
|
| Issue |
1
|
| Year |
2000
|
| Journal |
Matematychni Studii
|
| Full text of paper | |
| Table of content of issue |