函数的几种常见性质及它们之间的联系

函数的几种常见性质及它们之间的联系

摘要 本文讨论了函数的几种常见性质．即连续性，可微性，单调性和可积性，考虑了它们之间的联系．

关键词 连续函数、 可微函数、 单调函数、 可积函数、 Weierstrass函数．

A class of Nonmonotonic Continuous Functions

Abtract In this paper,we discuss several properties of functions ,i.e .continuity, differentiability, monotonicity, integrability.we consider the relations between them and give some results.

Key words continuous function, differentiable function, monotonic function, integrable function, Weierstrass function.