Cakalli, HuseyinAshyralyev, A; Malkowsky, E; Lukashov, A; Basar, F2024-07-122024-07-122015978-0-7354-1323-80094-243X10.1063/1.49304482-s2.0-84984539722https://dx.doi.org/10.1063/1.4930448https://hdl.handle.net/20.500.12415/8950International Conference on Advancements in Mathematical Sciences (AMS) -- NOV 05-07, 2015 -- Antalya, TURKEYIn this paper, we introduce and investigate the concept of Abel ward continuity. A real function f is Abel ward continuous if it preserves Abel quasi Cauchy sequences, where a sequence (P-k) of point in R is called Abel quasi-Cauchy if the series Sigma(k=0) (infinity) Delta pk.x(k) is convergent for 0 < x <= 1 and limx_q- (1 X) Er 0 A pk.xk = 0, where Apk = Pk+1 pk for every non negative integer k. Some other types of continuities are also studied and interesting results are obtained. It turns out that uniform limit of a sequence of Abel ward continuous functions is Abel ward continuous and the set of Abel ward continuous functions is a closed subset of the set of continuous functions.eninfo:eu-repo/semantics/closedAccessAbelBorel and power series methodsConvergence and divergence of series and sequencesContinuity and related questionsConference ObjectN/A1676WOS:000371818700022N/A