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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

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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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