Geodesic
Form-preserving exponential approximation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2009), pp. 53-60.

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In this paper we continue our research in constructing linear methods for approximating functions by parabolic splines with equidistant knots, inheriting such properties of approximated functions as monotony and convexity. The obtained results are generalized to the case of non-equidistant knots and to some kinds of exponential splines of the third order.
Keywords: parabolic spline, exponential spline, equidistant knots, convexity, approximating function.
Mots-clés : monotony 
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     author = {Yu. N. Subbotin},
     title = {Form-preserving exponential approximation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {53--60},
     publisher = {mathdoc},
     number = {11},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_11_a5/}
}
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Yu. N. Subbotin. Form-preserving exponential approximation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2009), pp. 53-60. http://geodesic.mathdoc.fr/item/IVM_2009_11_a5/

[1] Subbotin Yu. N., “Nasledovanie svoistv monotonnosti i vypuklosti pri lokalnoi approksimatsii”, Zhurn. vychisl. matem. i matem. fiz., 33:7 (1993), 996–1003 | MR | Zbl

[2] Kostousov K. V., Shevaldin V. T., “Approksimatsiya lokalnymi trigonometricheskimi splainami”, Matem. zametki, 77:3 (2005), 354–363 | MR | Zbl

[3] Shevaldin V. T., “Approksimatsiya lokalnymi parabolicheskimi splainami s proizvolnym raspolozheniem uzlov”, Sib. zhurn. vychisl. matem., 8:1 (2005), 77–88 | MR | Zbl

[4] Shevaldina E. V., “Approksimatsiya lokalnymi eksponentsialnymi splainami s proizvolnymi uzlami”, Sib. zhurn. vychisl. matem., 9:4 (2006), 391–402