Akdag, Sevda2025-03-232025-03-2320171422-63831420-9012https://doi.org/10.1007/s00025-016-0591-2https://hdl.handle.net/11486/7012In this paper, the concepts of weighted statistical pointwise convergence, weighted statistical uniform convergence and weighted equi-statistical convergence are introduced. Then, using weighted equi-statistical convergence, a general Korovkin type theorem is obtained. Also, an example such that our new approximation result works but its classical case does not work is constructed.eninfo:eu-repo/semantics/closedAccessStatistical convergenceequi-statistical convergenceweighted equi-statistical convergenceKorovkin type approximation theoremVoronovskaya type theoremArticle7231073108510.1007/s00025-016-0591-22-s2.0-84982284204Q2WOS:000414940700004Q1