Sözbir, BayramAltundağ, SelmaBaşarır, Metin2024-07-122024-07-122020Sözbir, B., Altundağ, S. ve Başarır, M. (2020). On the (delta,f)-lacunary statistical convergence of the functions. Maltepe Journal of Mathematics, 2(1), s.1-8.2667-7660http://dergipark.org.tr/tr/pub/mjmhttps://hdl.handle.net/20.500.12415/2202In this paper, we introduce the concept of ?f -lacunary statistical convergence for a ?-measurable real-valued function defined on time scale, where f is an unbounded modulus. Our motivation here is that this definition includes many well-known concepts which already exist in the literature. We also define strong ?f -lacunary Cesaro summability on a time scale and give some results related to these new concepts. Furthermore, we obtain necessary and sufficient conditions for the equivalence of ?f-convergence and ?f -lacunary statistical convergence on a time scale.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessModulus functionLacunary statistical convergenceDelta measure on time scaleTime scaleArticle8112