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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 507962, 8 pages
Double Lacunary Density and Some Inclusion Results in Locally Solid Riesz Spaces
1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh 791 112, India
Received 21 February 2013; Accepted 13 June 2013
Academic Editor: Alberto Parmeggiani
Copyright © 2013 S. A. Mohiuddine et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citations to this Article [7 citations]
The following is the list of published articles that have cited the current article.
- Mikail Et, Syed Abdul Mohiuddine, and Abdullah Alotaibi, “On lambda-statistical convergence and strongly lambda-summable functions of order alpha,” Journal of Inequalities and Applications, 2013.
- S. A. Mohiuddine, and Abdullah Alotaibi, “Statistical Summability of Double Sequences through de la Vallée-Poussin Mean in Probabilistic Normed Spaces,” Abstract and Applied Analysis, vol. 2013, pp. 1–5, 2013.
- Syed Abdul Mohiuddine, Mohammad Mursaleen, and Abdullah Alotaibi, “A new variant of statistical convergence,” Journal Of Inequalities And Applications, 2013.
- A. Alotaibi, B. Hazarika, and S. A. Mohiuddine, “On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces,” Abstract and Applied Analysis, vol. 2014, pp. 1–6, 2014.
- Vinod K Bhardwaj, Sandeep Gupta, Syed A Mohiuddine, and Adem Kılıçman, “On lacunary statistical boundedness,” Journal of Inequalities and Applications, vol. 2014, no. 1, pp. 311, 2014.
- Mohammad Mursaleen, and Syed Abdul Mohiuddine, “Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1),” Acta Scientiarum-Technology, vol. 37, no. 2, pp. 237–243, 2015.
- Sukran Konca, “Weighted Lacunary Statistical Convergence of Double Sequences in Locally Solid Riesz Spaces,” Filomat, vol. 30, no. 3, pp. 621–629, 2016.