On the rate of summability of Fourier series by means of the method of the Voronoi-Nörlund

• Autorzy: Stoiński, S.
• Języki publikacji: EN

Abstrakty

EN

In this note we present the theorem on the rate of pointwise summability of Fourier series by means of generalized Voronoi-Nörlund sums.

Słowa kluczowe

EN

Fourier series; generalized sum; rate of summability; Lebesgue point

• Czasopismo: Commentationes Mathematicae
• Rocznik: 2009
• Tom: Vol. 49, [Z] 1
• Strony: 27-31
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Stoiński, S.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University Umultowska 87, 61-614 Poznań, Poland,

Bibliografia

• [1] S. Aljančić, R. Bojanic and M. Tomić, On the degree of convergence of Fejér-Lebesgue sums, L'Enseignement Mathematique, Geneve, Tome XV (1969), 21{28.
• [2] G. H. Hardy, Divergent series, Oxford 1949.
• [3] W. Lenski, On the rate of pointwise strong (C; α) summability of Fourier series, Colloquia Math. Soc. J_anos Bolyai, 58 Approx. Theory, Kecskemét (Hungary) (1990), 453{486.
• [4] S. Stoiński, Approximation of periodic functions by means of certain linear operators with regard to Hausdor_ metric, Funct. Approximatio Comment. Math. 1 (1974), 123{131.
• [5] R. Taberski, Aproksymacja funkcji wielomianami trygonometrycznymi , Wyd. Nauk. UAM, Pozna_n 1979.
• [6] K. Zeller, Theorie der Limitierungsverfahren , Springer Verlag, Berlin-Gottingen-Heidelberg 1958.