کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1708552 1012827 2011 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Statistical ward continuity
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Statistical ward continuity
چکیده انگلیسی

Recently, it has been proved that a real-valued function defined on an interval AA of R, the set of real numbers, is uniformly continuous on AA if and only if it is defined on AA and preserves quasi-Cauchy sequences of points in AA. In this paper we call a real-valued function statistically ward continuous if it preserves statistical quasi-Cauchy sequences where a sequence (αk)(αk) is defined to be statistically quasi-Cauchy if the sequence (Δαk) is statistically convergent to 0. It turns out that any statistically ward continuous function on a statistically ward compact subset AA of R is uniformly continuous on AA. We prove theorems related to statistical ward compactness, statistical compactness, continuity, statistical continuity, ward continuity, and uniform continuity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 24, Issue 10, October 2011, Pages 1724–1728
نویسندگان
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