Best approximation of analytic functions from information about their values at a finite number of points

Pleiades Publishing Ltd - Tập 19 Số 1 - Trang 17-23 - 1976
K. Yu. Osipenko1
1Moscow State University, USSR.

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Tài liệu tham khảo

N. S. Bakhvalov, ?On optimalness of linear methods of approximation of operators on convex classes of functions,? Zh. Vychisl. Matem, i Matem. Fiz.,11, No. 4, 1014?1018 (1971).

M. A. Lavrent'ev and B. V. Shabat, Methods of the Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1973).

K. Yu. Osipenko, ?Optimal interpolation of analytic functions,? Matem. Zametki,12, No. 4, 465?476 (1972).

G. Polya and G. Szegö, Isoperimetric Inequalities in Mathematical Physics [in Russian], Fizmatgiz, Moscow (1962).

A. A. Gonchar, ?On problems of E. I. Zolotarev which are connected with rational functions,? Matem. Sb.,78 (120), No. 4, 640?654 (1969).

J. L. Walsh, Interpolation and Approximation by Rational Functions in a Complex Domain, Am. Math. (1966).