On the reminder of a Taylor–Maclaurin type general formula
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2012), pp. 17-20
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We continue the study started in [1] regarding the Taylor–Maclaurin representation of functions. In the present paper we obtain a more convenient representation for the function $R_n(x)$ , the residual term of the generalized Taylor–Maclaurin formula.
Keywords:
Weil operators, Taylor–Maclaurin type formulae.
@article{UZERU_2012_3_a3,
author = {B. A. Sahakyan},
title = {On the reminder of a {Taylor{\textendash}Maclaurin} type general formula},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {17--20},
year = {2012},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2012_3_a3/}
}
B. A. Sahakyan. On the reminder of a Taylor–Maclaurin type general formula. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2012), pp. 17-20. http://geodesic.mathdoc.fr/item/UZERU_2012_3_a3/
[1] B.A. Sahakyan, H.S. Kocharyan, “On a Generalization of Taylor–Maclourin Formula for Classes of Dzrbashyan Functions $C^{*(\infty)}_{\alpha}$”, Proceedings of the YSU. Physical and Mathematical Sciences, 2010, no. 2, 3–11
[2] M.M. Dzrbashyan, Integral Transforms and Representations of Functions in the Complex Domain, Nauka, M., 1966 (in Russian) | MR
[3] M.M. Dzrbashyan, “An extension of the Denjoy-Carleman quasianalytic classes”, Izv. AN Arm. SSR. Ser. Mat., 3:34 (1968), 171–248 (in Russian)