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This article is cited in 1 scientific paper (total in 1 paper)
Asymptotics of mean value points in the Schwarz theorem for divided differences
Yu. G. Nikonorov South Mathematical Institute of VSC RAS, Vladikavkaz, Russia
Abstract:
We establish inequalities describing the asymptotic behavior of mean value points in the sense of the Schwarz theoremfor general divided differences constructed for a function with a certain growth order at a given point. These inequalities generalize a number of known results, in particular, of ones connected with the asymptotics of Lagrange points in the Taylor formula.
Key words:
divided difference, Schwarz theorem, mean value theorem, $B$-spline, Peano kernel, asymptotics of mean value points.
Received: 24.06.2013
Citation:
Yu. G. Nikonorov, “Asymptotics of mean value points in the Schwarz theorem for divided differences”, Mat. Tr., 17:1 (2014), 145–174; Siberian Adv. Math., 25:1 (2015), 56–75
Linking options:
https://www.mathnet.ru/eng/mt271 https://www.mathnet.ru/eng/mt/v17/i1/p145
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Abstract page: | 336 | Full-text PDF : | 96 | References: | 64 | First page: | 13 |
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