Cakalli, Huseyin2024-07-122024-07-122018978-0-7354-1690-10094-243X10.1063/1.50439812-s2.0-85049979878https://dx.doi.org/10.1063/1.5043981https://hdl.handle.net/20.500.12415/8954International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 25-30, 2017 -- Thessaloniki, GREECEA sequence (alpha(k)) of real numbers is called lambda-statistically upward quasi-Cauchy if for every epsilon > 0 lim(n ->infinity 1/)lambda(n)vertical bar{k is an element of I-n : alpha(k) - alpha(k+1) >= epsilon}vertical bar = 0, where (lambda(n)) is a non-decreasing sequence of positive numbers tending to so such that lambda(n+1) <= lambda(n) +1, lambda(l) = 1, and I-n = [n - lambda(n) + 1,n] for any positive integer n. A real valued function f defined on a subset of R, the set of real numbers is lambda-statistically upward continuous if it preserves lambda-statistical upward quasi-Cauchy sequences. It turns out that the set of lambda-statistical upward continuous is a proper subset of the set of uniformly continuous functions.eninfo:eu-repo/semantics/closedAccessStatistical convergencequasi-Caudiy sequencescontinuityConference ObjectN/A1978WOS:000445105400301N/A