Zur Charakterisierung von Saturationsklassen in der Theorie der Fourierreihen. (German) Zbl 0131.06802

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[1] ALJANCIC, S. Approximation of continuous functions by typical means of their Fourier series, Proceed. Amer. Math. Soc. 12(1961), 681-688. JSTOR: · Zbl 0101.28902
[2] BUTZER, P. L. Beziehungen zwischen den Riemannschen, Taylorschen und gewohnliche Ableitungen reellwertiger Funktionen, Math. Annalen144(1961), 275-298. · Zbl 0106.27002
[3] BUTZER, P. L. AND SUNOUCHI, G. Approximation theorems for the solution of Fourier’ problem and Dirichlet’s problem, Math. Annalen155(1964), 316-330. · Zbl 0178.12603
[4] KACZMARZ, S. On some classes of Fourier series, Journ. London Math. Soc. 8(1933), 39-45. Zentralblatt MATH: · Zbl 0006.16203
[5] QUADE, E. S. Trigonometric approximation in the mean, Duke Math. Journ. 3(1937), 529-543. · Zbl 0017.20501
[6] RIESZ, M. Sur les fonctions conjugees, Math. Zeitschrift 27(1928), 218-244 · JFM 53.0259.02
[7] SALEM, R. AND ZYGMUND, A. Capacity of sets and Fourier series, Trans. Amer. Math Soc. 59(1946), 23-41. JSTOR: · Zbl 0060.18511
[8] STECKIN, S. B. Uber die beste Approximation gewisser Klassen periodischer Funktione durch trigonometrische Polynome, (Russisch) Izv. Adad. Nauk, SSSR, Ser. Math. 20(1956), 643-648.
[9] SUNOUCHI, G. Characterization of certain classes of functions, Tohoku Math. Journ (2)14(1962), 127-134. · Zbl 0113.27503
[10] SUNOUCHI, G. AND WATARI, C. On determination of the class of saturation in th theory of approximation of functions I, II, Proceed. Jap. Academy 34(1958), 477-481; Tohoku Math. Journ. 11(1959), 480-488. · Zbl 0086.05502
[11] WIDDER, D. V. The Laplace transform. Princeton 1946
[12] ZAMANSKY, M. Classes de saturation de certains precedes d’approximation des series d Fourier des fonctions continues, Ann. Sci. Ecole Norm. Sup. 66(1949), 19-93. · Zbl 0034.18702
[13] ZYGMUND, A. Trigonometric series, Vol. I, Cambridge 1959 · Zbl 0085.05601
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