一类广义Weierstrass型函数图像K-维数的简单证明

摘要

In the paper,by means of deforming Weierstrass function, we considered a kind of generalized Weierstrass-type function. We gave a simple proof of the K-dimensions of Weierstrass type funcitons graph by making use of sequeeze method and obtain the conclusion consistent with Weierstrass function, which lays a certain foundation for the research of the extended form of Weierstrass function later.%通过对Weierstrass函数变形,考虑了一类广义的Weierstrass型函数,用夹逼的方法给出了这类分形函数图像K-维数的简单证明,得到了跟Weierstrass函数相一致的结论,为以后的Weierstrass函数推广形式的研究奠定了一定的基础.