Cakalli, HuseyinAshyralyev, A; Lukashov, A2024-07-122024-07-122016978-0-7354-1417-40094-243X10.1063/14959626https://dx.doi.org/10.1063/14959626https://hdl.handle.net/20.500.12415/89573rd International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 07-10, 2016 -- Almaty, KAZAKHSTANIn this paper, we investigate the concept of upward continuity. A real valued function on a subset E of R, the set of real numbers is upward continuous if it preserves upward quasi Cauchy sequences in E, where a sequence (x(k)) of points in R is called upward quasi Cauchy if for every epsilon > 0 there exists a positive integer no such that x(n)-x(n+1) < epsilon for n >= n(0). It turns out that the set of upward continuous functions is a proper subset of the set of continuous functions.eninfo:eu-repo/semantics/closedAccessSequencesSeriesSummabilityContinuityConference Object1759WOS:000383223000011N/A