Statistical Relatively Equal Convergence and Korovkin-Type Approximation Theorem

Dirik, FadimeSahin, Pinar Okcu2025-03-232025-03-2320171422-63831420-9012https://doi.org/10.1007/s00025-017-0706-4https://hdl.handle.net/11486/7011In the present work, we define a new type of statistical convergence by using the notion of the relatively uniform convergence. We prove a Korovkin-type approximation theorem with the help of this new definition. Then, we construct a strong example that satisfies our theory. Finally, we compute the rate of statistical relatively equal convergence.eninfo:eu-repo/semantics/closedAccessStatistical convergencestatistical relatively uniform convergenceKorovkin Theoremmodulus of continuityStatistical Relatively Equal Convergence and Korovkin-Type Approximation TheoremArticle7231613162110.1007/s00025-017-0706-42-s2.0-85020534545Q2WOS:000414940700038Q1