AN APPROACH FOR DERIVATION OF MARKOV-TYPE INEQUALITIES IN $L_2$ NORMS

TitleAN APPROACH FOR DERIVATION OF MARKOV-TYPE INEQUALITIES IN $L_2$ NORMS
Publication TypeJournal Article
Year of Publication2013
AuthorsAleksov D
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume101
KeywordsMarkov 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

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