On a generalized summation of Fourier series by means of the method of the Borel type

• Autorzy: Stoiński S.
• Języki publikacji: EN

Abstrakty

EN

In this note we present theorems on the pointwise summability of Fourier series by means of a generalized sums of the Borel type.

Słowa kluczowe

EN

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

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2002
• Tom: [Z] 42(2)
• Strony: 251--259
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Stoiński S.

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

Bibliografia

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• [2] W. Lenski, On the rate of pointwise summability of Fourier series. Applied Mathematics E-Notes 1 (2001), 143-148.
• [3] P. Pych, On a biharmonic function in the unit disc, Ann. Pol. Math. 20 (1968), 203-213.
• [4] S. Stoiński, Approximation of periodic functions by means of certain linear operators with regard to Hausdorff metric, Funct. Approximate Comment. Math. 1 (1974), 123-131.
• [5] R. Taberski, Aproksymacja funkcji wielomianami trygonometrycznymi, Wyd. Nauk. UAM, Poznań, 1979.
• [6] M. Topolewska, On the biharmonic and allied operators, Funct. Approximate Comment. Math. 14 (1984), 159-171.
• [7] Hsiang Wen-Hang, On the degrees of convergence of Abel and conjugate-Abel sums, Funct. Approximatio Comment. Math. 12 (1982), 83-103.
• [8] K. Zeller, Theorie der Limitierungsverfahren, Springer Verlag, Berlin-Göttingen-Heidelberg, 1958.