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  Volume 5, Issue 4, Article 109
 
Markoff-type Inequalities in Weighted $L^{2}$-norms
    Authors: Ioan Popa,  
    Keywords: Bouzitat quadrature, Chebyshev polynomials, Inequalities.  
    Date Received: 01/08/04  
    Date Accepted: 26/09/04  
    Subject Codes:

41A17, 41A05, 41A55, 65D30.

  
    Editors: Alexandru Lupas (1942-2007),  
 
    Abstract:

We give exact estimations of certain weighted $ L^{2}$-norms of the $ k$-th derivative of polynomials which have a curved majorant. They are all obtained as applications of special quadrature formulae.

         
       
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