This paper considers some properties of continuous functions.

This article extends the zero-point theorem for continuous functions from a closed interval to other types of intervals,and a series of zero-point theorems for continuous functions on relevant intervals are obtained,so that the theory on the zero-point theorem can be applied in more general cases.

In this paper,Stancu-integral type operators are first constructed on simplexes,then discusseions on approximation to continuous functions are made.

The inferences about the property for continuous function of closed interval and the mean value theorem for derivatives;

One quality of continuous function and its application in solving inequality equations;

Many ways have been given to solve the maximization problem of the continuous function, however, there are some drawbacks more or less.

After the concept of mean square continuous module is built and its relevant character is obtained,the approximate order of random function approximated by trigonometric polynomial of random coefficient is researched.

In this paper,the continuity of Hilbert space value random function is discussed, and the relationship of continuity in the mean and continuity in the random is established.