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Steklov Mathematical Institute Seminar
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On some fundamental properties and applications of Chebyshëv continued fractions S. P. Suetin Steklov Mathematical Institute of Russian Academy of Sciences, Moscow |
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Abstract: In his study in 1855 of the problem of the optimal approximate recovery of a function $$ \hat\mu(z):=\int_S\frac{d\mu(x)}{z-x}\,, $$ where It is in this way that P. Chebyshëv discovered general orthogonal polynomials corresponding to an arbitrary positive Borel measure For the function In the talk we shall consider some fundamental properties and numerical applications of Chebyshëv continued fractions for the functions of more general type then |