ON LACUNARY ARITHMETIC STATISTICAL CONTINUITY FOR DOUBLE SEQUENCES
DOI:
https://doi.org/10.29121/granthaalayah.v5.i11.2017.2321Keywords:
Summability, Arithmetic Statistical Convergence, Lacunary Arithmetic Statistical Convergence, Lacunary Arithmetic Statistical Continuity, Double SequencesAbstract [English]
In this article, we shall introduce the concept of lacunary arithmetic statistical continuity for double sequences and investigate some inclusion relations
Downloads
References
John Albert Fridy. (1993). CihanOrhan, “LACUNARY STATISTICAL SUMMABILITY.” J. Math. Anal. Appl. 173(2) 497-504.
John Albert Fridy. (1985). “ON STATISTICAL CONVERGENCE.” Analysis, 5, 301-313.
J.S. Connor. (1988). “THE STATISTICAL AND STRONG P-CESARO CONVERGENCE OF SEQUENCES.” Analysis, 8, 47-63., ISSN (Online) 2196-6753, ISSN (Print) 0174-4747, DOI: https://doi.org/10.1524/anly.1988.8.12.47. DOI: https://doi.org/10.1524/anly.1988.8.12.47
H. Fast. (1951). “SUR LA CONVERGENCE STATISTIQUE.” Colloq Math, 2, 241-244. DOI: https://doi.org/10.4064/cm-2-3-4-241-244
T. Šalát. (1980). “ON STATISTICALLY CONVERGENT SEQUENCES OF REAL NUMBERS.” Math Slovaca, 30, 139-15
Mohammad Mursaleen, and O. H. H. Edely. (2003). “STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES.” J. Math.Anal.Appl., 288, 223-231. DOI: https://doi.org/10.1016/j.jmaa.2003.08.004
A. R. Freedman, J. J. Sember, M. Raphael. (1978). “SOME CESÁRO-TYPE SUMMABILITY SPACES.” Proc. Lond. Math. Soc. 37 508-520. DOI: https://doi.org/10.1112/plms/s3-37.3.508
TajaYaying and Bipan Hazarika. (2017). “LACUNARY ARITHMETIC STATISTICAL CONVERGENCE.” arXiv:1703.03780v1 [Math.GM], 8 Mar.
W. H. Ruckle. (2012). “ARITHMETICAL SUMMABILITY.” Jour. Math. Anal. Appl. 396 741-748. DOI: https://doi.org/10.1016/j.jmaa.2012.06.048
John Albert Fridy, and CihanOrhan. (1993). “LACUNARY STATISTICAL CONVERGENCE.” Pacific Journal of Mathematics,160, no. 1, 43-53.
Downloads
Published
How to Cite
Issue
Section
License
With the licence CC-BY, authors retain the copyright, allowing anyone to download, reuse, re-print, modify, distribute, and/or copy their contribution. The work must be properly attributed to its author.
It is not necessary to ask for further permission from the author or journal board.
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge.