Geodesic
A sharp error estimate of the best approximation by algebraic polynomials in the weighted space $L_2(-1,1)$
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2013), pp. 61-63

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We obtain a sharp 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 $\lambda>-1$.
Keywords: best approximation, sharp estimate, weighted space. 
@article{IVM_2013_5_a5,
     author = {R. Z. Dautov},
     title = {A sharp error estimate of the best approximation by algebraic polynomials in the weighted space $L_2(-1,1)$},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {61--63},
     publisher = {mathdoc},
     number = {5},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_5_a5/}
}
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R. Z. Dautov. A sharp error estimate of the best approximation by algebraic polynomials in the weighted space $L_2(-1,1)$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2013), pp. 61-63. http://geodesic.mathdoc.fr/item/IVM_2013_5_a5/