Cakalli, Hüseyin2024-07-122024-07-122019Cakalli, H. (2019). Variations on Rho statistical quasi Cauchy sequences. International conference of mathematical sciences (Icms 2018). 2086(1), s. 1-4.978-0-7354-1816-510.1063/1.50950952-s2.0-85064399293https://aip.scitation.org/doi/10.1063/1.5095095https://doi.prg/10.1063/1.5095095https://hdl.handle.net/20.500.12415/2754A sequence (?k) of points in R, the set of real numbers, is called ?-statistically p quasi Cauchy if lim n?? 1 ?n |{k ? n : |?p?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 ?p?k+p = ?k+p ? ?k for each positive integer k, p is a fixed positive integer. A real-valued function defined on a subset of R is called ?-statistically p-ward continuous if it preserves ?-statistical p-quasi Cauchy sequences. We obtain results related to ?-statistical p-ward continuity, ?-statistical p-ward compactness, p-ward continuity, ward continuity, and uniform continuity.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessSequencesseriessummabilitycompactnesscontinuityArticle4112086WOS:000472950300015N/A