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

Authors

  • Dragomir Aleksov

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.

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Published

2013-12-12

How to Cite

Aleksov, D. (2013). AN APPROACH FOR DERIVATION OF MARKOV-TYPE INEQUALITIES IN $L_2$ NORMS. Ann. Sofia Univ. Fac. Math. And Inf., 101, 215–235. Retrieved from https://annual.uni-sofia.bg/index.php/fmi/article/view/240

Issue

Vol. 101 (2013): Ann. Sofia Univ. Fac. Math and Inf.

Section

Articles