
两类统计收敛的表示定理
A Representation Theorem for Two Types of Statistical Convergence
统计收敛 / 双序列 / 次微分 {{custom_keyword}} /
statistical convergence / double sequence / subdifferential {{custom_keyword}} /
[1] Fast H., Sur le convergence statistical, Colloq. Math., 1951, 2: 241--244.
[2] Connor J., A Topological and Functional Analytic Approach to Statistical Convergence, Analysis of Divergence (Orono, Me, 1997), 403--413.
[3] Fridy J., Statistical points, Proc. Amer. Math. Soc., 1993, 118(4): 1187--1192.
[4] Connor J., R-type summability methods, Cauchy criteria, P-sets and statistical convergence, Proc. Amer. Math. Soc., 1992, 115(2): 319--327.
[5] Móricz F., Statistical convergence of multiple sequences, Arch. Math., 2003, 81(1): 82--89.
[6] Dogru O., Duman O., Statistical approximation of Meyer--König and Zeller operators based on q-integers, Publ. Math. Debrecen, 2006, 68(1/2): 199--214.
[7] Tripathy B. C., Sen M., A note on rate of convergence of sequences and density of subsets of natural numbers, Ital. J. Pure Appl. Math., 2005, 17: 151--158.
[8] Cerveňansky, ?alát T., Toma V., Remarks on statistical and I-convergence of series, Math. Bohem., 2005, 130(2): 690--696.
[9] Connor J., Ganichev M., Kadets V., A Characterization of Banach spaces with separable duals via weak statistical convergence, J. Math. Appl., 2000, 244(1): 251--261.
[10] Cakalli H., On statistical convergence in topological groups, Pure Appl. Math. Sci., 1996, 43(1/2): 27--31.
[11] Maddox I. J., statistical convergence in a locally convex space, Math. Proc. Cambridge Philos. Soc., 1988, 104(1): 141--145.
[12] Bilgin T., Δ-statistical convergence and strong Δ-Cesaro convergence of sequences of fussy numbers, Math. Commun., 2003, 8(1): 95--100.
[13] Connor J., Grosse-Erdmann K. G., Sequential definitions of continuity for real functions, Rocky Mountain J. Math., 2003, 33(1): 93--121.
[14] Bhardwa V. K., Singh N., Some sequence spaces defined by Orlicz functions, Demonstration Math., 2000, 33(3): 571--582.
[15] Mursaleen M., Edely H. H. O., Statistical convergence of double sequences, J. Math. Anal. Appl., 2003, 288(1): 223--231.
[16] Patterson Richard F., Ekrem Savas, Lacunary statistical convergence of double sequences, Mathematical Communications, 2005, 10: 55--61.
[17] Mikail E. T., Nuray F., Δm-statistical convergence, Indian J. Pure Appl. Math., 2001, 32(6): 961--969.
[18] Cheng L. X., Lin G. C., Lan Y. Y., Liu X. Y., Measure Theory of Statistical Convergence, Science in China A: Mathematics 2008, 51: 2285--2303.
[19] Phelps R. R., Convex Funtions, Monotone Operators and Differentiability, Lect. Notes in Math., Springer-Verlag, Vol.1364, 1989, Second Edition, 1993.
宁德师范高等专科学校科研资助项目(2009101)
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