A note on the uniform convergence and boundedness of a generalized class of sine series

• Autorzy: Szal B.
• Języki publikacji: EN

Abstrakty

EN

In this paper we essentially extend the Leindler’s results concerning the uniform convergence and boundedness of a certain class of sine series.

Słowa kluczowe

EN

sine series; Fourier series; embedding relations; number sequences

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2008
• Tom: Vol. 48, [Z] 1
• Strony: 85--94
• Opis fizyczny: bibliogr. 6 poz.

Twórcy

autor

Szal B.

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

Bibliografia

• [1] T. W. Chaundy and A. E. Jolliffe, The uniform convergence of a certain class of trigonometrical series, Proc. London Math. Soc. 15 (1916), 214-216.
• [2] R. J. Le and S. P. Zhou, A new condition for the uniform convergence of certain trigonometric series, Acta Math. Hungar. 108 (1-2) (2005), 161-169.
• [3] L. Leindler, On the uniform convergence and boundedness of a certain class of sine series, Analysis Math. 27 (2001), 279-285.
• [4] L. Leindler, A note on the uniform convergence and boundedness of a new class of sine series, Analysis Math. 31 (2005), 269-275.
• [5] L. Leindler, Integrability conditions pertaining to Orlicz space, J. Inequal. Pure and Appl. Math. 8(2) (2007), Art. 38, 6 pp.
• [6] A. Zygmund, Trigonometric series, Vol. I, University Press, Cambridge 1959.