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The best one-side approximation of classes of integrals of fractional order with regard to position of point on interval

The best one-side approximation of classes of integrals of fractional order with regard to position of point on interval

We obtain the asymptotic estimations for the best one-sided point-wise approximation to the classes $W_{\infty}^r$, $r > 1$ (in case of fractional $r$) by algebraic polynomials.