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Abstrakty
In this paper we study some connections between strong (A,φ)-summability of sequences and lacunary statistical convergence or lacunary strong convergence with respect to a modulus functions.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
151--162
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
autor
- Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland
Bibliografia
- [1] T. Bilgin, Lacunary strong A-convergence with respect to a sequence modulus functions, Preprint of Department of Mathematics University of 100. Yil, Van Turkey, (2001), 1-5.
- [2] J.S. Connor, On strong matrix summabiiity with respect to a modulus and statistical convergence, Canad. Math. Bull., 32(1989), 194-198.
- [3] A. Esi, The A-statistical and strongly (A - p)-Cesàro convergence of sequences, Pure and Appl. Math. Sci., 43(1996), 89-93.
- [4] A.R. Freedman, J.J. Sember, M. Raphel, Some Cesàro-type summability spaces, Proc. London Math. Soc., 37(1978), 508-520.
- [5] J. Frydy, On statistical convergence, Analysis, 5(1985), 301-313.
- [6] J. Frydy, C. Orhan, Lacunary statistical convergence. Pacific J. Math., 160(1993), 45-51.
- [7] A. Kufner, O. John, S. Fučik, Function spaces, Prague, 1977.
- [8] I.J. Maddox, Sequence spaces defined by a modulus. Math. Proc. Camb. Phil. Soc., 100(1986), 161-166.
- [9] J. Musielak, Orlicz spaces and modular spaces, Lecture Notes in Math. 1034, Springer Verlag. Berlin-Heidelberg-New York-Tokyo 1983
- [10] J. Musielak, W. Orlicz, On modular spaces. Studia Math., 18(1959), 49-65.
- [11] J. Musielak, W. Orlicz, On modular spaces of strongly summable sequences, Studia Math., 22(1962), 127-144.
- [12] H. Nakano, Concave modulars, J. Math. Soc. Japan, 5(1953), 29-49.
- [13] W. Orlicz, On some spaces of strongly summable sequences, Studia Math., 22(1963), 331-336.
- [14] S. Pehlivan, B. Fisher, On some sequence spaces, Indian J. Pure Appl. Math., 25(1994), 1067-1071.
- [15] T. Salat, On statistically convergent sequences of real numbers, Math, Slovaca, 2(1980), 139-150.
- [16] A. Waszak, On spaces of strongly summable sequences with an Orlicz metric, Comment Math., 11(1968), 229-246.
- [17] A. Waszak, On the strong convergence in some sequence spaces, Fasc. Math., 33(2002), 125-137.
- [18] A. Waszak, D. Żurakowski, Musielak-Orlicz spaces of sequences connected with strong summability, Fasc. Math., 28(1998), 157-165.
- [19] D. Żurakowski, On completeness of some Musielak-Orlicz spaces, Fasc. Math., 24(1994), 13-17.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0048-0096