Gulfirat, MustafaBodur, Murat2026-03-102026-03-1020260025-51652406-0682https://doi.org/10.57016/MV-HRZW3917https://hdl.handle.net/20.500.13091/13054Bodur, Murat/0000-0002-9195-9043A central issue of the present paper is to consider the Korovkin-type approximation properties of the Lupa,s-Jain operators using A-statistical convergence and Abel convergence, which are well-known summability methods. We provide an instance of a sequence of positive linear operators to which the weighted Korovkin-type theorem does not apply, but the A-statistical approximation theorem does. Our results are one-way more substantial than some approximation results given in [Ba,scanbaz-Tunca et al., On Lupa,s-Jain Operators, Stud. Univ. Babe,s-Bolyai Math., 63(4) (2018), 525-537].eninfo:eu-repo/semantics/openAccessAnd PhrasesLupa, S-Jain OperatorsA-Statistical ConvergenceAbel ConvergenceWeighted SpacesArticle10.57016/MV-HRZW3917