Computer Science

LINSPACE constructive analogue of $(1+x)^h$ function

S. V. Yakhontov

St. Petersburg State University, Department of Mathematics and Mechanics

Abstract: Algorithms of class $FLINSPACE$ are constructed in order to calculate the arbitrary precision of $(1+x)^h$ function with the help of Taylor expansion. This function is analyzed with the multitude of constructive real numbers, that is, the algorithms calculating rational approximations are used as $x$ argument.

Keywords: rational approximations, algorithms, closeness.

UDC: 519.688

MSC: 68Q25

Original article submitted 01/III/2008
revision submitted – 10/VII/2008

DOI: 10.14498/vsgtu612

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