Geodesic
Approximating periodic functions in Hölder type metrics by the Fourier sums and the Riesz means
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 22, Tome 350 (2007), pp. 70-88 Cet article a éte moissonné depuis la source Math-Net.Ru

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     author = {V. V. Zhuk},
     title = {Approximating periodic functions in {H\"older} type metrics by the {Fourier} sums and the {Riesz} means},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2007_350_a5/}
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V. V. Zhuk. Approximating periodic functions in Hölder type metrics by the Fourier sums and the Riesz means. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 22, Tome 350 (2007), pp. 70-88. http://geodesic.mathdoc.fr/item/ZNSL_2007_350_a5/

[1] A. F. Timan, Teoriya priblizheniya funktsii deistvitelnogo peremennogo, M., 1960

[2] V. V. Zhuk, Approksimatsiya periodicheskikh funktsii, L., 1982 | MR

[3] N. I. Akhiezer, Lektsii po teorii approksimatsii, M., 1965

[4] V. V. Zhuk, “O tochnosti predstavleniya nepreryvnoi $2\pi$-periodicheskoi funktsii pri pomoschi lineinykh metodov approksimatsii”, Izv. vuzov. Matematika, 1972, no. 8(123), 46–59 | MR | Zbl

[5] N. K. Bari, Trigonometricheskie ryady, M., 1961 | MR

[6] V. V. Zhuk, V. F. Kuzyutin, Approksimatsiya funktsii i chislennoe integrirovanie, S.-P., 1995 | MR

[7] V. V. Zhuk, G. I. Natanson, “Svoistva funktsii i rost proizvodnykh priblizhayuschikh polinomov”, Dokl. AN SSSR, 212:1 (1973), 19–22 | Zbl

[8] S. Prössdorf, “Zur Konvergenz der Fourierreihen Hölderstetiger Funktionen”, Math. Nachr., 69 (1975), 7–14 | DOI | MR | Zbl

[9] R. N. Mohapatra, P. Chandra, “Degree of approximation of functions in the Hölder metric”, Acta Math. Hungar., 41:1–2 (1983), 67–76 | DOI | MR | Zbl

[10] R. A. Lasuriya, “O priblizhenii funktsii, zadannykh na vsei osi, operatorami tipa Feiera v obobschennoi gëlderovoi metrike”, Mat. zametki, 81:4 (2007), 547–552 | MR | Zbl