| Title | AN APPROACH FOR DERIVATION OF MARKOV-TYPE INEQUALITIES IN $L_2$ NORMS |
| Publication Type | Journal Article |
| Year of Publication | 2013 |
| Authors | Aleksov D |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 101 |
| Keywords | Markov type inequality, quadratic forms, ultraspherical polynomials |
| Abstract | 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 |
| Attachment | Size |
|---|---|
 101-215-235.pdf | 240.66 KB |