Báo cáo hóa học: " Research Article On Double Statistical P -Convergence of Fuzzy Numbers"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article On Double Statistical P -Convergence of Fuzzy Numbers | Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2009 Article ID 423792 8 pages doi 2009 423792 Research Article On Double Statistical P-Convergence of Fuzzy Numbers Ekrem Sava s1 and Richard F. Patterson2 1 Department of Mathematics Istanbul Commerce University 34672 Uskudar Istanbul Turkey 2 Department of Mathematics and Statistics University of North Florida Building 11 Jacksonville FL 32224 USA Correspondence should be addressed to Ekrem Savas ekremsavas@ Received 1 September 2009 Accepted 2 October 2009 Recommended by Andrei Volodin Savas and Mursaleen defined the notions of statistically convergent and statistically Cauchy for double sequences of fuzzy numbers. In this paper we continue the study of statistical convergence by proving some theorems. Copyright 2009 E. Savas and R. F. Patterson. 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. 1. Introduction For sequences of fuzzy numbers Nanda 1 studied the sequences of fuzzy numbers and showed that the set of all convergent sequences of fuzzy numbers forms a complete metric space. Kwon 2 introduced the definition of strongly p-Cesaro summability of sequences of fuzzy numbers. Savas 3 introduced and discussed double convergent sequences of fuzzy numbers and showed that the set of all double convergent sequences of fuzzy numbers is complete. Savas 4 studied some equivalent alternative conditions for a sequence of fuzzy numbers to be statistically Cauchy and he continue to study in 5 6 . Recently Mursaleen and Basarir 7 introduced and studied some new sequence spaces of fuzzy numbers generated by nonnegative regular matrix. Quite recently Savas and Mursaleen 8 defined statistically convergent and statistically Cauchy for double sequences of fuzzy numbers. In this paper we continue the study of double .

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