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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2007 Volume 7, Number 1-2, Pages 91–100 (Mi dvmg60)

On the error of random quadrature formulae for certain function families

M. A. Romanov

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: In this paper, we obtain error of quadrature formulae with random elements for families of periodic functions having $\ell_p$-bounded Fourier coefficients.

Key words: quadrature formula, non-deterministic integration methods.

UDC: 519.68, 519.712

MSC: Primary 65D32; Secondary 65D30

Received: 25.11.2007



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