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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2008, Issue 2(17), Pages 239–249
DOI: https://doi.org/10.14498/vsgtu612 (Mi vsgtu612) 		 
Computer Science

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

S. V. Yakhontov

St. Petersburg State University, Department of Mathematics and Mechanics
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DOI: https://doi.org/10.14498/vsgtu612
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.
Original article submitted 01/III/2008
revision submitted – 10/VII/2008
Bibliographic databases:
Document Type: Article
UDC: 519.688
MSC: 68Q25
Language: Russian
Citation: S. V. Yakhontov, “LINSPACE constructive analogue of $(1+x)^h$ function”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(17) (2008), 239–249
Citation in format AMSBIB
\Bibitem{Yak08}
\by S.~V.~Yakhontov
\paper LINSPACE constructive analogue of $(1+x)^h$ function
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2008
\vol 2(17)
\pages 239--249
\mathnet{http://mi.mathnet.ru/vsgtu612}
\crossref{https://doi.org/10.14498/vsgtu612}
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :219
    References:69
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