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Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
Abstrakty
A new class of γ rest bounded second variation sequences is dened. Some relationships between classes of considered sequences are proved. The results of Leindler [3] and author [8] are extended to our new class.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Strony
67--79
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
- University of Zielona Góra, Faculty of Mathematics, Computer Science and Econometrics 65-516 Zielona Góra, ul. Szafrana 4a, Poland, B.Szal@wmie.uz.zgora.pl
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, Embedding results regarding to strong approximation of Fourier series VI, Acta Sci. Math. (Szeged), 71 (2005), 91-103.
- [6] L. Leindler, Integrability conditions pertaining to Orlicz space, J. Inequal. Pure and Appl. Math., 8(2) (2007), Art. 38, 6 pp.
- [7] S. Tikhonov, Best approximation and moduli of smoothness: Computation and equivalence theorems, J. Approx. Theory, 153 (2008), 19-39.
- [8] B. Szal, A note on the uniform convergence and boundedness a generalized class of sine series, Commentat. Math., Comment. Math., 48 1(2008), 85-94.
- [9] D. S. Yu, S. P. Zhou and P. Zhou, Ultimate generalization to monotonicity for uniform convergence of trigonometric series, available at http://arXiv/abs/0704.1865.
- [10] A. Zygmund, Trigonometric series, Vol. I, University Press (Cambridge, 1959).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS8-0011-0065