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 Dokl. Akad. Nauk SSSR, 1979, Volume 249, Number 1, Pages 49–52 (Mi dan43112)

MATHEMATICS

On the optimality of the quadrature formula with equidistant nodes on classes of periodic functions

K. I. Oskolkov

V. A. Steklov Mathematical Institute, USSR Academy of Sciences

Full text: PDF file (486 kB)

Bibliographic databases:
UDC: 517.5
Presented: Ñ. Ì. Íèêîëüñêèé

Citation: K. I. Oskolkov, “On the optimality of the quadrature formula with equidistant nodes on classes of periodic functions”, Dokl. Akad. Nauk SSSR, 249:1 (1979), 49–52

Citation in format AMSBIB
\Bibitem{Osk79} \by K.~I.~Oskolkov \paper On the optimality of the quadrature formula with equidistant nodes on classes of periodic functions \jour Dokl. Akad. Nauk SSSR \yr 1979 \vol 249 \issue 1 \pages 49--52 \mathnet{http://mi.mathnet.ru/dan43112} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=0553981} \zmath{https://zbmath.org/?q=an:0441.41018} 

• http://mi.mathnet.ru/eng/dan43112
• http://mi.mathnet.ru/eng/dan/v249/i1/p49

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. A. A. Zhensykbaev, “Monosplines of minimal norm and the best quadrature formulae”, Russian Math. Surveys, 36:4 (1981), 121–180
2. M. A. Chahkiev, “Exponential polynomials of least deviation from zero and optimal quadrature formulas”, Math. USSR-Sb., 48:1 (1984), 273–285
3. M. A. Chahkiev, “Linear differential operators with real spectrum, and optimal quadrature formulas”, Math. USSR-Izv., 25:2 (1985), 391–417
4. N. P. Korneichuk, “S. M. Nikol'skii and the development of research on approximation theory in the USSR”, Russian Math. Surveys, 40:5 (1985), 83–156
5. Nguyên Th{\d i} Thiêu Hoa, “Best quadrature formulas and methods of reconstructing functions defined by variation diminishing kernels”, Math. USSR-Sb., 58:1 (1987), 101–117
6. Nguyên Th{\d i} Thiêu Hoa, “Oscillation properties of differential operators and convolution operators, and some applications”, Math. USSR-Izv., 34:3 (1990), 609–626
7. Nguyên Th{\d i} Thiêu Hoa, “Some extremal problems on classes of functions determined by linear differential operators”, Math. USSR-Sb., 68:1 (1991), 213–255
8. K. I. Oskolkov, “Linear and Nonlinear Methods of Relief Approximation”, Journal of Mathematical Sciences, 155:1 (2008), 129–152