Title: The Smooth Characterizations of Functions and Their Properties
Abstract: In methematics the smoothing of a function is often measured with the continuity, or nth derivation, of the function, and the more precise measurement is the Lipschitz exponent of a function. In this paper the pseudo derivative of a function at some point is defined, and this concept can charaterize the smoothing performance of a function. And then the relations of pseudo derivative, derivation and the Lipschitz exponent of the function are given in the paper.
Publication Year: 2000
Publication Date: 2000-01-01
Language: en
Type: article
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