A variation on lacunary statistical quasi cauchy sequences
نویسندگان
چکیده
منابع مشابه
Statistical quasi-Cauchy sequences
A subset E of a metric space (X, d) is totally bounded if and only if any sequence of points in E has a Cauchy subsequence. We call a sequence (xn) statistically quasiCauchy if st − limn→∞ d(xn+1, xn) = 0, and lacunary statistically quasi-Cauchy if Sθ − limn→∞ d(xn+1, xn) = 0.Weprove that a subset E of ametric space is totally bounded if and only if any sequence of points in E has a subsequence...
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ژورنال
عنوان ژورنال: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
سال: 2017
ISSN: 1303-5991
DOI: 10.1501/commua1_0000000802