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Approximation of Certain Classes of Singular Integrals by Algebraic Polynomials

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Abstract

We study the problem of pointwise approximation by algebraic polynomials for classes of functions that are singular integrals of bounded functions. We obtain asymptotically exact estimates of approximations.

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Motornyi, V.P. Approximation of Certain Classes of Singular Integrals by Algebraic Polynomials. Ukrainian Mathematical Journal 53, 377–394 (2001). https://doi.org/10.1023/A:1012388120569

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