Kaplan, Huseyin2024-11-072024-11-0720190354-5180https://doi.org/10.2298/FIL1902493Khttps://hdl.handle.net/11480/138334th International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM) -- MAY 11-15, 2017 -- Aydin, TURKEYIn this paper, we introduce concepts of a strongly lacunary p-quasi-Cauchy sequence and strongly lacunary p-ward continuity. We prove that a subset of R is bounded if and only if it is strongly lacunary p-ward compact. It is obtained that any strongly lacunary p-ward continuous function on a subset A of R is continuous in the ordinary sense. We also prove that the uniform limit of strongly lacunary p-ward continuous functions on a subset A of R is strongly lacunary p-ward continuous.eninfo:eu-repo/semantics/openAccessSequencesseriessummabilitycontinuityConference Object33249349810.2298/FIL1902493K2-s2.0-85066935572Q3WOS:000464504500014Q2