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STATISTICAL CONVERGENCE OF SEQUENCE IN NON-ARCHIMEDEAN FUZZY METRIC SPACE BY NÖRLUND-(M, λₙ) AND RIESZ MEAN (M, λₙ) METHOD OF SUMMABILITY
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Let 𝐾 denotes a complete non-trivially valued non-Archimedean field. In this paper, we define statistical convergence and statistical summability of fuzzy sequences by Nörlund-(𝑀, λₙ) and Riesz mean (𝑀, λₙ) method of summability. Further, discussed inclusion relation between statistical convergence and statistical summability of such sequences.
Abstract
Let 𝐾 denotes a complete non-trivially valued non-Archimedean field. In this paper, we define statistical convergence and statistical summability of fuzzy sequences by Nörlund-(𝑀, λₙ) and Riesz mean (𝑀, λₙ) method of summability. Further, discussed inclusion relation between statistical convergence and statistical summability of such sequences.
참고문헌 (29)
- G. Bachman, "Introduction to p-adic numbers and valuation theory" (1964), Academic Press
- R.C. Buck, "A Note on Subsequences", Bull. Amer. Math. Soc, 49(12), pp.898~899 (1943)
- R. C. Buck, "Generalized Asymptote Density", American Journal of Mathematics, 75, pp.335~346 (1953)
- H. Fast, "Sur la convergence statistique", Colloq Math, 2(3-4), pp.241~244 (1951)
- J. A. Fridy, "On statistical convergence", Analysis, 5, pp.301~313 (1985)
- J.A. Fridy, "Statistical core theorems", Journal of Mathematical Analysis and Applications, 208(2), pp.520~527 (1997)
- A. George, "On some results in fuzzy metric spaces", Fuzzy Sets and Systems, 64(3), pp.395~399 (1994)
- K. Hensel, "Theorie der Algebraischen Zahlen" (1908), Erster Band
- I. J. Maddox, "Statistical convergence in a locally convex sequence space", Math. Proc. Camb. Philos. Soc, 104(1), pp.141~145 (1988)
- M. Matloka, "Sequences of fuzzy numbers", BUSEFAL, 28, pp.28~37 (1986)
- D. Mihet, "Fuzzy contractive mappings in non-Archimedean fuzzy metric space", Fuzzy Sets and Systems, 159, pp.739~744 (2008)
- E. Muthu Meena Lakshmanan, "Some results of weighted statistical Norlund-Euler Convergence in an ultrametric field", AIP Conference Proceedings, 2516, pp.370001~ (2022)
- E. Muthu Meena Lakshmanan, "Some Results of Generalized Weighted Norlund-Euler λ Statistical Convergence in Non-Archimedean Fields", Mathematics and Statistics, 11(1), pp.128~133 (2023)
- P.N. Natarajan, "Some properties of the (M,λn) method of summability in ultrametric fields", International J. of Phy. Math. Sci, 2(2), pp.169~176 (2012)
- F. Nuray, "Statistical Convergence of Sequences of Fuzzy Numbers", Mathematica Slovaka, 45(3), pp.269~273 (1995)
- M. Paknazar, "Non-Archimedean fuzzy metric spaces and best proximity point theorems", Sahanand Communications in Mathematical Analysis. (SCMA), 9(1), pp.85~112 (2012)
- P.K. Pattanaik, "Generalized Norlund and Norlund-type Means of Sequences of Fuzzy Numbers", European Journal of Pure and Applied Mathematics, 13(5), pp.1088~1096 (2020)
- D. Rath, "On statistically convergent and statistically cauchy sequences", Indian Journal of Pure and Applied Mathematics, 25(4), pp.381~386 (1994)
- E. Savas, "A note on sequence of fuzzy numbers", Information Sciences, 124, pp.297~300 (2000)
- E. Savas, "On Statistically Convergent Sequences of Fuzzy Numbers", Information Sciences, 137, pp.277~282 (2001)
- I. G. Schoenberg, "The integrability of certain functions and related summability methods", Amer. Math. Monthly, 66, pp.361~375 (1959)
- H. Steinhaus, "Sur la convergence ordinaire et la convergence asymptotique", Colloq Math, 2, pp.73~74 (1951)
- K. Suja, "On Statistically convergent and Statistically Cauchy sequences in non-Archimedean fields", Journal of Advances in Mathematics, 6(3), pp.1038~1043 (2014)
- O. Talo, "Determination of the Duals of Classical Sets of Sequences of Fuzzy Num-bers and Related Matrix Transformations", Computers & Mathematics with Applications, 58(4), pp.717~733 (2009)
- O. Talo, "On Statistical Summability (N; P) of sequence of Fuzzy Numbers", Filomat, 30(3), pp.873~884 (2016)
- B. C. Tripathy, "Norlund and Riesz Mean of Sequences of fuzzy real numbers", Applied Mathematics Letters, 23(5), pp.651~655 (2010)
- C. Vetro, "Best Proximity Point Results in Non-Archimedean Fuzzy Metric spaces", Fuzzy Inf. Eng, 5(4), pp.417~429 (2013)
- L.A. Zadeh, "Fuzzy Sets", Inform and Control, 8, pp.338~353 (1965)
- A. Zygmund, "Trigonometric Series" (1979), Cambridge Univ. Press
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