Title of article
Inequalities in for the extended best approximation operator
Author/Authors
Cuenya، نويسنده , , H. and Favier، نويسنده , , S. and Zَ، نويسنده , , F.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
9
From page
80
To page
88
Abstract
The best polynomial approximation operator was recently extended by one of the authors from L p to L p − 1 . In this paper, we study weak and strong inequalities for maximal operators related with the extended best polynomial approximation operator. As an application, we obtain norm convergence of the coefficients of the best polynomial approximation.
Keywords
Best approximation , Extension of the best approximation operator , Peano derivatives in L p , Maximal functions associated to the best approximation operator
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562836
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