Letting 0 < p ≦ infin;, we prove Remez-, Bernstein-Markoff-, Schur- and Nikolskii-type inequalities for algebraic polynomials with exponential weights on (-1,1) multiplied by another weight function, which will satisfy the doubling or the A * condition at different occurrences. Moreover, we state embedding theorems between some function spaces related with exponential weights. © 2011 Akadémiai Kiadó, Budapest, Hungary.
Polynomial inequalities and embedding theorems with exponential weights on (-1,1)
Notarangelo I.
2012-01-01
Abstract
Letting 0 < p ≦ infin;, we prove Remez-, Bernstein-Markoff-, Schur- and Nikolskii-type inequalities for algebraic polynomials with exponential weights on (-1,1) multiplied by another weight function, which will satisfy the doubling or the A * condition at different occurrences. Moreover, we state embedding theorems between some function spaces related with exponential weights. © 2011 Akadémiai Kiadó, Budapest, Hungary.
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