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On \(\lambda \)-statistical convergence of order \(\beta \) of sequences of fuzzy numbers. (English) Zbl 1451.40003

Summary: In this article we introduce the concepts of \(\lambda \)-statistical convergence of order \(\beta \) and strong \(\lambda \)p-summability of order \(\beta \) for sequences of fuzzy numbers. Also, we establish some relations between the \(\lambda \)-statistical convergence of order \(\beta \) and strong \(\lambda \)p-summability of order \(\beta \) and present some interesting examples to show strictness of some inclusion relations.

MSC:

40A35 Ideal and statistical convergence
26E50 Fuzzy real analysis
40G05 Cesàro, Euler, Nörlund and Hausdorff methods
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[1] Fast H., Colloquium Math. 2 pp 241–
[2] DOI: 10.2307/2308747 · Zbl 0089.04002 · doi:10.2307/2308747
[3] Connor J. S., Analysis 8 pp 47– · Zbl 0092.36001
[4] Fridy J. A., Analysis 5 pp 301– · Zbl 0952.26002
[5] DOI: 10.1006/jmaa.1997.5236 · Zbl 0907.47021 · doi:10.1006/jmaa.1997.5236
[6] Mursaleen M., Math. Slovaca 50 pp 111–
[7] DOI: 10.1216/rmjm/1030539612 · Zbl 1039.41018 · doi:10.1216/rmjm/1030539612
[8] DOI: 10.1016/S0252-9602(11)60288-9 · Zbl 1240.40016 · doi:10.1016/S0252-9602(11)60288-9
[9] DOI: 10.2307/2371785 · Zbl 0061.07503 · doi:10.2307/2371785
[10] DOI: 10.2307/2372456 · Zbl 0050.05901 · doi:10.2307/2372456
[11] Pehlivan S., Optimization 48 pp 297– · Zbl 1254.93102
[12] Rath D., Indian J. Pure Appl. Math. 27 pp 197–
[13] Tripathy B. C., Indian J. Pure Appl. Math. 32 pp 1689–
[14] Tripathy B. C., Indian J. Pure Appl. Math. 35 pp 655–
[15] Tripathy B. C., Tamkang J. Math. 37 pp 155–
[16] DOI: 10.1007/s10114-007-6648-0 · Zbl 1160.46003 · doi:10.1007/s10114-007-6648-0
[17] Matloka M., BUSEFAL 28 pp 28–
[18] DOI: 10.1016/0165-0114(89)90222-4 · Zbl 0707.54003 · doi:10.1016/0165-0114(89)90222-4
[19] Nuray F., Math. Slovaca 45 pp 269–
[20] Kwon J. S., Korean J. Comput. Appl. Math. 7 pp 195–
[21] DOI: 10.1016/j.ins.2005.10.008 · Zbl 1107.40001 · doi:10.1016/j.ins.2005.10.008
[22] Tripathy B. C., Math. Slovaca 58 pp 621–
[23] DOI: 10.3846/1392-6292.2008.13.577-586 · Zbl 1163.46307 · doi:10.3846/1392-6292.2008.13.577-586
[24] DOI: 10.3846/1392-6292.2009.14.391-397 · Zbl 1190.46008 · doi:10.3846/1392-6292.2009.14.391-397
[25] DOI: 10.1016/j.camwa.2009.09.006 · Zbl 1189.40010 · doi:10.1016/j.camwa.2009.09.006
[26] DOI: 10.1016/j.aml.2010.02.006 · Zbl 1189.26056 · doi:10.1016/j.aml.2010.02.006
[27] DOI: 10.1016/S0165-0114(98)00338-8 · Zbl 0960.26009 · doi:10.1016/S0165-0114(98)00338-8
[28] DOI: 10.1016/j.fss.2003.08.001 · Zbl 1053.26020 · doi:10.1016/j.fss.2003.08.001
[29] DOI: 10.1016/S0165-0114(01)00110-5 · Zbl 1001.40001 · doi:10.1016/S0165-0114(01)00110-5
[30] DOI: 10.1007/s10114-007-6552-7 · Zbl 1162.46041 · doi:10.1007/s10114-007-6552-7
[31] DOI: 10.1007/s00500-009-0413-5 · Zbl 1200.40002 · doi:10.1007/s00500-009-0413-5
[32] DOI: 10.1016/j.ins.2008.08.013 · Zbl 1166.40001 · doi:10.1016/j.ins.2008.08.013
[33] DOI: 10.1016/S0020-0255(99)00151-6 · Zbl 0961.40001 · doi:10.1016/S0020-0255(99)00151-6
[34] Altin Y., Kuwait J. Sci. Eng. 34 pp 1–
[35] Altinok H., Taiwanese J. Math. 15 pp 2081–
[36] DOI: 10.1016/j.fss.2009.06.002 · Zbl 1180.40003 · doi:10.1016/j.fss.2009.06.002
[37] Aytar S., International J. General Systems pp 1–
[38] Mursaleen M., Indian J. Pure Appl. Math. 34 pp 1351–
[39] DOI: 10.1016/j.mcm.2007.01.006 · Zbl 1138.46048 · doi:10.1016/j.mcm.2007.01.006
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