| Заглавие | AN APPROACH FOR DERIVATION OF MARKOV-TYPE INEQUALITIES IN $L_2$ NORMS |
| Вид публикация | Journal Article |
| Година на публикуване | 2013 |
| Автори | Aleksov D |
| Списание | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Том | 101 |
| ключови думи | Markov type inequality, quadratic forms, ultraspherical polynomials |
| Резюме | An approach for derivation of Markov-type inequalities in $L_2$ norms proposed in [9] is applied to the classical case of a constant weight function. According to a result of E. Schmidt, the sharp constant in this inequality is asymptotically equal to \( \frac{n^2}{\pi} \). We obtain upper and lower bounds for the best constant. |
| 2000 MSC | Primary 41A05, Secondary 41A17 |
| Прикачен файл | Размер |
|---|---|
 101-215-235.pdf | 240.66 KB |