Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Nesterenko A. Y. Parameters Recovering Algorithm for One Class of Irrationalities. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 4, pp. 89-93. DOI: 10.18500/1816-9791-2013-13-4-89-93

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Parameters Recovering Algorithm for One Class of Irrationalities

Nesterenko Alexey Yur'evich, National Research University of Electronic Technology, Russia

In this article we study one class of irrationalities whichmay be defined as covergent series with rational coefficients. This class contain a lot of well known constants such as ln 2, ¼, e.t.c. We consider the problem of determination parameters of rational coefficients by rational approximation of irrationality. We deduced the lower and upper bounds and present an algorithm for determination of unknown parameters. Also, we present some results of practical calculations.

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