Connor, J.Savaş, Ekrem2020-11-212020-11-2120150236-5294https://doi.org/10.1007/s10474-015-0481-1https://hdl.handle.net/11467/3567A class of summability methods, called sliding window methods, for measurable real valued functions defined on [0, ?) is introduced. These methods are based on the methods of statistical convergence and lacunary statistical summability for sequences. Analogs of inclusion and consistency theorems for the sequential methods are established, along with examples, and a Cauchy criteria is given. © 2015, Akadémiai Kiadó, Budapest, Hungary.eninfo:eu-repo/semantics/closedAccessCauchy criterialacunary statistical convergencemeasurable functionssliding window methodstatistical convergenceArticle1452416432Q3WOS:000351836400010Q22-s2.0-8493993903510.1007/s10474-015-0481-1