V. V. Arestov, E. E. Berdysheva, “Turán's problem for positive definite functions with supports in a hexagon”, Approximation theory. Asymptotical expansions, Trudy Inst. Mat. i Mekh. UrO RAN, 7, no. 1, 2001, 21–29; Proc. Steklov Inst. Math. (Suppl.), 2001no. , suppl. 1, S20

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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2001, Volume 7, Number 1, Pages 21–29 (Mi timm297)

This article is cited in 11 scientific papers (total in 11 papers)

Turán's problem for positive definite functions with supports in a hexagon

V. V. Arestov, E. E. Berdysheva

Full-text PDF (388 kB) Citations (11)

Received: 24.10.2000

Bibliographic databases:

Document Type: Article

UDC: 517.518.834

Language: Russian

Citation: V. V. Arestov, E. E. Berdysheva, “Turán's problem for positive definite functions with supports in a hexagon”, Approximation theory. Asymptotical expansions, Trudy Inst. Mat. i Mekh. UrO RAN, 7, no. 1, 2001, 21–29; Proc. Steklov Inst. Math. (Suppl.), 2001no. , suppl. 1, S20–S29

Citation in format AMSBIB

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\paper Tur\'an's problem for positive definite functions with supports in a~hexagon

\inbook Approximation theory. Asymptotical expansions

\serial Trudy Inst. Mat. i Mekh. UrO RAN

\yr 2001

\vol 7

\issue 1

\pages 21--29

\mathnet{http://mi.mathnet.ru/timm297}

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\zmath{https://zbmath.org/?q=an:1123.26300}

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\jour Proc. Steklov Inst. Math. (Suppl.)

\yr 2001

\issue , suppl. 1

\pages S20--S29

Linking options:

https://www.mathnet.ru/eng/timm297

https://www.mathnet.ru/eng/timm/v7/i1/p21

This publication is cited in the following 11 articles:

Gorbachev D.V., Tikhonov S.Yu., “Wiener'S Problem For Positive Definite Functions”, Math. Z., 289:3-4 (2018), 859–874
D. V. Gorbachev, V. I. Ivanov, “Nekotorye ekstremalnye zadachi dlya preobrazovaniya Fure po sobstvennym funktsiyam operatora Shturma–Liuvillya”, Chebyshevskii sb., 18:2 (2017), 34–53
Akopyan R., Efimov A., “Boas-Kac Roots of Positive Definite Functions of Several Variables”, Anal. Math., 43:3 (2017), 359–369
D. V. Gorbachev, V. I. Ivanov, E. P. Ofitserov, O. I. Smirnov, “Nekotorye ekstremalnye zadachi garmonicheskogo analiza i teorii priblizhenii”, Chebyshevskii sb., 18:4 (2017), 140–167
A. V. Efimov, “A version of the Turan problem for positive definite functions of several variables”, Proc. Steklov Inst. Math. (Suppl.), 277, suppl. 1 (2012), 93–112
Xu Yuan, “Fourier series and approximation on hexagonal and triangular domains”, Constr. Approx., 31:1 (2010), 115–138
Li Huiyuan, Sun Jiachang, Xu Yuan, “Discrete Fourier analysis, cubature, and interpolation on a hexagon and a triangle”, SIAM J. Numer. Anal., 46:4 (2007), 1653–1681
Kolountzakis M.N., Révész S.G., “Turan's extremal problem for positive definite functions on groups”, J. London Math. Soc. (2), 74:2 (2006), 475–496
V. I. Ivanov, D. V. Gorbachev, Yu. D. Rudomazina, “Some extremal problems for periodic functions with conditions on their values and Fourier coefficients”, Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 2, S139–S159
Ehm W., Gneiting T., Richards D., “Convolution roots of radial positive definite functions with compact support”, Trans. Amer. Math. Soc., 356:11 (2004), 4655–4685
Kolountzakis M.N., Révész S.G., “On a problem of Turan about positive definite functions”, Proc. Amer. Math. Soc., 131:11 (2003), 3423–3430

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

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