Pointwise strong and very strong approximation by matrix means of Fourier series

• Autorzy: Łenski W. , Szal B.
• Języki publikacji: EN

Abstrakty

EN

We generalize and extend the some results of the paper [6]. Considering a wider class of function and more general means we obtain the results of the V. Totik type [8, 9].

Słowa kluczowe

EN

strong and very strong approximation; rate of pointwise summability; matrix means

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2008
• Tom: Vol. 48, [Z] 2
• Strony: 177--198
• Opis fizyczny: bibliogr. 10 poz.

Twórcy

autor

Łenski W.

autor

Szal B.

• University of Zielona G´ora, Faculty of Mathematics, Computer Science and Econometrics 65-516 Zielona Góra, ul. Szafrana 4a, Poland,

Bibliografia

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• [2] G.H. Hardy and J.E. Littlewood, Sur la série de Fourier d'une function a caré sommable, Comptes Rendus, Vol.28, (1913), 1307-1309.
• [3] L. Leindler, Strong approximation by Fourier series, Akadémiai Kiadó, Budapest, 1985.
• [4] L. Leindler, On the degree of approximation of continuous functions, Acta Math. Hungar. 104 (1-2), (2004), 105-113.
• [5] W. Lenski, On the rate of pointwise strong (C, _) summability of Fourier series, Colloquia Math.Soc.János Bolyai, 58 Approx.Theory,Kecskemét (Hungary),(1990), 453-486.
• [6] W. Lenski, Pointwise strong and very strong approximation of Fourier series, Acta Math. Hungar. 115 (3), (2007), 215-233.
• [7] N.L. Pachulia, On the point of strong summability of Fourier series, Bull. of the Acad of Sci. of the Georgian SSR 133, No3(1989), 493-496.
• [8] V. Totik, On Generalization of Fejér summation theorem, Coll. Math. Soc. J. Bolyai 35 Functions series, operators, Budapest (Hungary) (1980),1185-1199.
• [9] V. Totik, Notes on Fourier series: Strong approximation, J. Approx. Th. 43 (1985), 105-111.
• [10] A. Zygmund, Trigonometric Series, Cambridge, 2002.