bounded function

Pointwise convergence has no completeness in bounded function space B ( I).

有界函数空间B（I）中的点态收敛不具备完备性。

Theorem 1 and are equivalent infinitesimals if and only if. Theorem 2 The product of a bounded function and an infinitesimal is an infinitesimal.

定理1与是等阶无穷小的充分必要条件为。

Theorem 2 The product of bounded function and an infinitesimal is an infinitesimal.

定理2有界函数与无穷小的乘积是无穷小.

Theorem 2 The product of a bounded function and an infinitesimal is an infinitesimal.

推论1常数与无穷小的乘积是无穷小.

His paper studies the degree of approximation of bounded function with discontinuity of the first kind and functions of bounded variation of order p by Meyer Konig Zeller operators Mn ( f, x). The result of [ 1] is extended and improved.

本文研究Meyer Konig Zeller算子Mn（f，x），对有界函数和p阶有界交差函数在第一类间断点的逼近度，推广和改进了文〔1〕的结果。

Does Monotone Locally Bounded Function Definitely Have Extreme?

“单调有界函数必有极限” 吗 ?