Revision as of 18:38, 7 January 2025 edit GregariousMadness (talk \| contribs) Extended confirmed users, New page reviewers, Pending changes reviewers, Temporary account IP viewers 7,099 edits ←Created page with '{{Short description\|Mathematical concept in measure theory}} An '''approximately continuous function''' is a concept in mathematical analysis and measure theory that generalizes the notion of continuous functions by replacing the ordinary limit with an approximate limit.<ref>{{cite web\|url=https://encyclopediaofmath.org/wiki/Approximate_continuity\|title=Approximate continuity\|website=Encyclopedia of Mathematics\|access...'		Revision as of 18:42, 7 January 2025 edit undo GregariousMadness (talk \| contribs) Extended confirmed users, New page reviewers, Pending changes reviewers, Temporary account IP viewers 7,099 edits No edit summary Next edit →
Line 1: {{Short description\|Mathematical concept in measure theory}} AnIn ~~'''approximately~~[[mathematics]], ~~continuous function''' is a concept~~particularly in [[mathematical analysis]] and [[measure theory]], an '''approximately continuous function''' is a concept that generalizes the notion of [[continuous function]]s by replacing the [[limit of a function\|ordinary limit]] with an [[approximate limit]].<ref>{{cite web\|url=https://encyclopediaofmath.org/wiki/Approximate_continuity\|title=Approximate continuity\|website=Encyclopedia of Mathematics\|access-date=January 7, 2025}}</ref> This generalization provides insights into [[measurable function]]s with applications in real analysis and geometric measure theory.<ref>{{cite book \|last1=Evans \|first1=L.C. \|last2=Gariepy \|first2=R.F. \|title=Measure theory and fine properties of functions \|publisher=CRC Press \|series=Studies in Advanced Mathematics \|___location=Boca Raton, FL \|year=1992 \|isbn= \|pages=}}</ref> == Definition ==

Approximately continuous function: Difference between revisions