A sharp error estimate of the best approximation by algebraic polynomials in the weighted space L 2(−1, 1)
R. Z. DautovKazan (Volga Region) Federal University, ul. Kremlyovskaya 18, Kazan, 420008, Russia
2013en
ABI
Abstract
We obtain an exact error estimate of the best approximation by algebraic polynomials in the Lebesgue space L 2(−1, 1) with the weight 1 − x 2 of degree λ > −1.
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