Çakallı, HüseyinMucuk, Osman2024-07-122024-07-12201597807354132380094243X10.1063/1.49304392-s2.0-84984532137https://dx.doi.org/10.1063/1.4930439https://hdl.handle.net/20.500.12415/1912Badji Mokhtar Annaba University;Fatih University;Institute of Mathematics and Mathematical ModelingInternational Conference on Advancements in Mathematical Sciences, AMS 2015 -- 5 November 2015 through 7 November 2015 -- -- 115706A real valued function defined on a subset E of R, the set of real numbers, is lacunary statistically upward continuous if it preserves lacunary statistically upward half quasi-Cauchy sequences where a sequence (xn) of points in R is called lacunary statistically upward half quasi-Cauchy if [EQUATION PRESENTED] for every ? > 0, and ? = (kr) is an increasing sequence ? = (kr) of non-negative integers such that k0 = 1 and hr: kr-kr-1 › . We investigate lacunary statistically upward continuity, and prove interesting theorems. It turns out that any lacunary statistically upward continuous function on a below bounded subset of R is uniformly continuous. © 2015 AIP Publishing LLC.eninfo:eu-repo/semantics/closedAccessContinuityLacunary statistically convergenceQuasi-Cauchy sequencesSequencesSeries summabilityConference ObjectN/A1676