{ "id": "1702.07154", "version": "v1", "published": "2017-02-23T10:00:16.000Z", "updated": "2017-02-23T10:00:16.000Z", "title": "The Classical Theorems of Measure Theory in connection with the Statistical convergence and some remarks on Steinhaus' Theorem", "authors": [ "Christos Papachristodoulos" ], "categories": [ "math.CA" ], "abstract": "We study Steinhaus' theorem regarding statistical limits of measurable real valued functions and we examine the validity of the classical theorems of Measure Theory for statistical convergences.", "revisions": [ { "version": "v1", "updated": "2017-02-23T10:00:16.000Z" } ], "analyses": { "subjects": [ "28A20" ], "keywords": [ "measure theory", "statistical convergence", "classical theorems", "connection", "study steinhaus" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }