A continuant and an estimate of the remainder of the interpolating continued C-fraction

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Title:	A continuant and an estimate of the remainder of the interpolating continued C-fraction
Authors:	Pahirya, M. M. Пагіря, Михайло Михайлович
Keywords:	C-fraction C-частка estimate of the remainder оцінка залишку continuant безперервний
Issue Date:	2020
Publisher:	МДУ
Abstract:	The problem of the interpolation of functions of a real variable by interpolating continued C-fraction is investigated. The relationship between the continued fraction and the continuant was used. The properties of the continuant are established. The formula for the remainder of the interpolating continued C-fraction proved. The remainder expressed in terms of derivatives of the functional continent. An estimate of the remainder was obtained. The main result of this paper is contained in the following Theorem 5:
Description:	Pahirya.M. M. A continuant and an estimate of the remainder of the interpolating continued C-fraction / M. M.Pahirya.// Mat. Stud. 54 (2020), 32–45.
URI:	http://dspace.msu.edu.ua:8080/jspui/handle/123456789/7635
Appears in Collections:	Статті

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