Rho statistical convergence of order beta
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Maltepe Üniversitesi
Access Rights
CC0 1.0 Universal
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info:eu-repo/semantics/openAccess
Abstract
A sequence (?k) of points in R, the set of real numbers, is called ?-statistically convergent to an element ? of R of order ? if limn?? 1 ? ? n |{k ? n : |?k ? ?| ? ?}| = 0 for each ? > 0, where ? = (?n) is a non-decreasing sequence of positive real numbers tending to ? such that lim supn ?n n < ?, ??n = O(1), and ??n = ?n+1 ? ?n for each positive integer n. A real-valued function defined on a subset of R is called ?-statistically ward continuous if it preserves ?-statistical quasi Cauchy sequences where a sequence (?k) is defined to be ?-statistically quasi-Cauchy if the sequence (??k) is ?-statistically convergent to 0. We obtain results related to ?-statistical ward continuity, ?-statistical ward compactness, ward continuity, continuity, and uniform continuity
Description
Keywords
Sequences, Series, Summability, Continuity
Journal or Series
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Value
N/A
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Citation
Çakallı, H. ve Kandemir, H. Ş. (2019). Rho statistical convergence of order beta. International Conference of Mathematical Sciences (ICMS 2019). s. 76.
