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Lacunary I-Convergent Sequences

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주제분류수학

초록

In this article we introduce the concepts of lacunary I- convergent sequences. We investigate its different properties like solid, symmetric, convergence free etc.

Abstract

In this article we introduce the concepts of lacunary I- convergent sequences. We investigate its different properties like solid, symmetric, convergence free etc.

참고문헌 (23)

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  6. P. Kostyrko, "I-convergence", Real Analysis Exchange, 26(2), pp.669~686 (2000)
  7. D. Rath, "Matrix maps on sequence spaces associated with sets of integers", Indian Jour. Pure Appl. Math., 27(2), pp.197~206 (1996)
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  9. T. Salat, "On I-convergence field", Italian Jour. Pure Applied Math, 17, pp.45~54 (2005)
  10. B. C. Tripathy, "Matrix transformation between some classes of sequences", J. Math. Anal. Appl., 206, pp.448~450 (1997)
  11. B. C. Tripathy, "On generalized difference paranormed statistically convergent se- quences", Indian J. Pure Appl. Math., 35(5), pp.655~663 (2004)
  12. Binod Chandra Tripathy, "Lacunary Statically Convergent and Lacunary Strongly Convergent Generalized Difference Sequences of Fuzzy Real Numbers", Kyungpook Mathematical Journal, 50(4), pp.565~574 (2010), 경북대학교 자연과학대학 수학과
  13. B. C. Tripathy, "On generalized difference lacunary statistical convergence", Studia Univ. Babes-Bolyai Mathematica, 50(1), pp.119~130 (2005)
  14. B. C. Tripathy, "I-convergent sequence spaces associated with multiplier sequence spaces", Math. Ineq. Appl., 11(3), pp.543~548 (2008)
  15. B. C. Tripathy, "Paranormed I-convergent sequences spaces", Math. Slo- vaca, 59(4), pp.485~494 (2009)
  16. B. C. Tripathy, "Some I-convergent sequences spaces defined by Orlicz function", Acta Mathematica Applicatae Sinica, 27(1), pp.149~154 (2011)
  17. Binod Chandra Tripathy, "I-Monotonic and I-Convergent Sequences", Kyungpook Mathematical Journal, 51(2), pp.233~239 (2011), 경북대학교 자연과학대학 수학과
  18. B. C. Tripathy, "On a class of generalized lacunary difference sequence spaces defined by Orlicz function", Acta Math. Appl. Sin.(Eng. Ser), 20(4), pp.231~238 (2004)
  19. B. C. Tripathy, "On I-acceleration convergence of sequences", Jour. Franklin Inst., 347, pp.591~598 (2010)
  20. B. C. Tripathy, "Statistically convergent difference double sequence spaces", Acta Math. Sin., 24(5), pp.737~742 (2008)
  21. Binod Chandra Tripathy, "On I-Convergent Double Sequences of Fuzzy Real Numbers", Kyungpook Mathematical Journal, 52(2), pp.189~200 (2012), 경북대학교 자연과학대학 수학과[DOI]
  22. B. C. Tripathy, "On generalized statistically convergent sequences", Indian Jour. Pure Appl. Math., 32(11), pp.1689~1694 (2001)
  23. B. C. Tripathy, "Characterization of some matrix classes involving paranormed sequence spaces", Tamkang Jour. Math., 37(2), pp.155~162 (2006)

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