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Dini continuity : ウィキペディア英語版 | Dini continuity In mathematical analysis, Dini continuity is a refinement of continuity. Every Dini continuous function is continuous. Every Lipschitz continuous function is Dini continuous. ==Definition== Let be a compact subset of a metric space (such as ), and let be a function from into itself. The modulus of continuity of is : The function is called Dini-continuous if : An equivalent condition is that, for any , : where is the diameter of .
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Dini continuity」の詳細全文を読む
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