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One-sided approximation of a step by algebraic polynomials in the mean
2010
An asymptotically sharp estimate is obtained for the best one-sided approximation of a step by algebraic polynomials in the space L 1 :
Keywords:
- Orthogonal polynomials
- Mathematical optimization
- Mathematical analysis
- Singular point of an algebraic variety
- Algebraic element
- Function field of an algebraic variety
- Real algebraic geometry
- Mathematics
- Classical orthogonal polynomials
- Difference polynomials
- Dimension of an algebraic variety
- Wilson polynomials
- Gegenbauer polynomials
- Combinatorics
- Discrete orthogonal polynomials
- Correction
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