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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1983 Volume 47, Issue 6, Pages 1182–1207 (Mi im1442)

Integral representations and best approximation by generalized polynomials in systems of Mittag-Leffler type

M. M. Dzhrbashyan, V. M. Martirosyan


Abstract: Integral representations are established for generalized polynomials in certain systems of functions of Mittag-Leffler type, and a theorem is proved on the analytic continuation of functions with a sufficiently high degree of approximation by such polynomials.
Bibliography: 15 titles.

UDC: 517.5

MSC: Primary 42C30, 44A15; Secondary 30D60, 30B40

Received: 31.03.1982


 English version:
Mathematics of the USSR-Izvestiya, 1984, 23:3, 449–471

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