본문 바로가기
KERD
논문KCI 등재

On Paranormed Type Fuzzy Real Valued Class of Sequences 2^ℓ^F (p)

Santanu Roy|Mausumi Sen
경북대학교 자연과학대학 수학과|2011.09|Kyungpook Mathematical Journal|제51권 제3호|pp. 345-352

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

SolidSymmetricFuzzy real valued double sequenceMonotoneConvergence freeSequence algebra
주제분류수학

초록

In this article we introduce the fuzzy real valued double sequence spaces 2^ℓ^F (p) where p = (p_(nk)) is a double sequence of bounded strictly positive numbers. We study their different properties like completeness , solidness , symmetricity, convergence free etc. We prove some inclusion results also.

Abstract

In this article we introduce the fuzzy real valued double sequence spaces 2^ℓ^F (p) where p = (p_(nk)) is a double sequence of bounded strictly positive numbers. We study their different properties like completeness , solidness , symmetricity, convergence free etc. We prove some inclusion results also.

참고문헌 (19)

  1. T. J. I’A Bromaich, "An Introduction to the Theory of Infinite Series" (1965), Macmillan & Co. Ltd
  2. B. Choudhury, "On fuzzy real valued ℓ(p)F sequence spaces", Proc International Conference, held at Salt Lake city, pp.184~190 (2005)
  3. G. H. Hardy, "On the convergence of certain multiple series", Proc. Camb Phil. Soc, 19, pp.86~95 (1917)
  4. O. Kaleva, "On fuzzy metric spaces", Fuzzy Sets and Systems, 12, pp.215~229 (1984)
  5. S. Nanda, "On sequences of fuzzy numbers", Fuzzy Sets and Systems, 33, pp.123~126 (1989)
  6. F. Nuray, "Statistical convergence of sequences of fuzzy real numbers", Math. Slovaca, 45(3), pp.269~273 (1995)
  7. B. C. Tripathy, "On generalized difference paranormed statistically convergent sequences", Indian Journal of Pure and Applied Mathematics, 35(5), pp.655~663 (2004)
  8. B. C. Tripathy, "New type of difference sequence spaces of fuzzy real numbers", Mathematical Modelling and Analysis, 14(3), pp.391~397 (2009)
  9. B. C. Tripathy, "Nörlund and Riesz mean of sequences of fuzzy real numbers", Applied Mathematics Letters, 23, pp.651~655 (2010)
  10. B. C. Tripathy, "Bounded variation double sequence space of fuzzy real numbers", Computers & Mathematics with Applications, 9(2), pp.1031~1037 (2010)
  11. B. C. Tripathy, "On fuzzy real valued double sequence spaces", Soochow jour. Of Math, 32(4), pp.509~520 (2006)
  12. B. C. Tripathy, "On fuzzy real valued double sequence spaces 2ℓp F", Mathematical and Computer, 46, pp.1294~1299 (2007)
  13. B. C. Tripathy, "Statistically convergent difference double sequence spaces", Acta Mathematica Sinica, 24(5), pp.737~742 (2008)
  14. B. C. Tripathy, "Vector valued double sequence spaces defined by Orlicz function", Mathematica Slovaca, 59(6), pp.767~776 (2009)
  15. B. C. Tripathy, "Sequence spaces of fuzzy real numbers defined by Orlicz functions", Mathematica Slovaca, 58(5), pp.621~628 (2008)
  16. B. C. Tripathy, "On generalized statistically convergent sequences", Indian Journal of Pure and Applied Mathematics, 32(11), pp.1689~1694 (2001)
  17. B. C. Tripathy, "Characterization of some matrix classes involving paranormed sequence spaces", Tamkang Journal of Mathematics, 37(2), pp.155~162 (2006)
  18. B. C. Tripathy, "The sequence space m(M, ϕ,Δn m, p)F", Mathematical Modelling and Analysis, 13(4), pp.577~586 (2008)
  19. L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)

관련 논문AI추천

Sequence Spaces of Fuzzy Real Numbers Using Fuzzy MetricBinod Chandra Tripathy, Stuti Borgohain경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제1호Sequence Space m(M,ϕ)F of Fuzzy Real Numbers Defined by Orlicz Functions with Fuzzy MetricBinod Chandra Tripathy, Stuti Borgohain경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제3호On paranorm type intuitionistic fuzzy Zweier I-convergent sequence spacesAyhan Esi, Hira Fatima, Vakeel A. Khan, Yasmeen기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제1호On I-Convergent Double Sequences of Fuzzy Real NumbersBinod Chandra Tripathy, Bipul Sarma경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제2호Paranormed I-convergent Double Sequence Spaces Associated with Multiplier SequencesBinod Chandra Tripathy, Mausumi Sen경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제2호Some Difference Double Sequence Spaces Defined By Orlicz FunctionBinod Chandra Tripathy, Bipul Sarma, Bishweshwar Choudhary경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제4호

이 간행물의 다른 논문 (9건)

Coefficient Inequalities for Certain Subclasses of Analytic Functions De ned by Using a General Derivative OperatorSerap Bulutpp. 241-250Certain Class of Multidimensional Convolution Integral Equations Involving a Generalized Polynomial SetJamal Mohammed Shenan, Tariq Omar Salimpp. 251-260On Seifert Matrices of Symmetric Links배용주, 이인숙pp. 261-281On a Class of Semicommutative RingsTahire Özen, Abdullah Harmanci, Nazim Agayevpp. 283-291Path-Connectivity of Two-Interval MSF WaveletsDivya Singhpp. 293-300
원문 보기