Geodesic
Bernstein and Markov Type Inequalities for Generalized Non-Negative Polynomials
Canadian journal of mathematics, Tome 43 (1991) no. 3, pp. 495-505

Voir la notice de l'article provenant de la source Cambridge University Press

Generalized polynomials are defined as products of polynomials raised to positive real powers. The generalized degree can be introduced in a natural way. Several inequalities holding for ordinary polynomials are expected to be true for generalized polynomials, by utilizing the generalized degree in place of the ordinary one. Based on Remez-type inequalities on the size of generalized polynomials, we establish Bernstein and Markov type inequalities for generalized non-negative polynomials, obtaining the best possible result up to a multiplicative absolute constant.
DOI : 10.4153/CJM-1991-030-3
Mots-clés : 41A17, Generalized Polynomials, Bernstein Inequality, Markov Inequality 
Erdélyi, Tamás. Bernstein and Markov Type Inequalities for Generalized Non-Negative Polynomials. Canadian journal of mathematics, Tome 43 (1991) no. 3, pp. 495-505. doi: 10.4153/CJM-1991-030-3
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