The Property of a Special Type of Exponential Spline Function

Ge Yang^*

North China University of Technology, Beijing, China.

DOI: 10.4236/apm.2015.513074                

Abstract

Approximation theory experienced a long term history. Since 50’ last century, the rise of spline function as well as the advance of calculation promotes the growth of classical approximation theory and makes them develop a profound theory in maths, and application values have shown among the field of scientific calculation and engineering technology and etc. At present, the study of spline function had made a great progress and had a lot of fruits, as for that, the reader could look up the book [1] or [2]. Nevertheless, the research staff pays less attention to exponential spline function, since polynomial spline function is a special case of that, so it is much essential and meaningful for one to explore the nature of exponential spline function.

Keywords

Exponential Spline Function, Interpolation, Error Estimation

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Li, Y.S. (1983) Spline Function and Interpolation. Shanghai Science and Technology Press, Shanghai.
[2]	Feng, Y.Y., Zeng, F.L. and Deng, J.S. (2013) Spine Function and Approximation Theory. University of Science and Technology of China, Hefei.
[3]	Unser, M. and Blu, T. (2005) Cardinal Exponential Splines: Part I—Theory and Filtering Algorithms. IEEE Transactions on Signal Processing, 53, 1425-1438. http://dx.doi.org/10.1109/TSP.2005.843700
[4]	Zhang, G.Q. and Lin, Y.Q. (1987) Lectures on Functional Analysis. Peking University Press, Beijing.
[5]	Li, Q.Y., Wang, N.C. and Yi, D.Y. (2008) Numerical Analysis. 5th Edition, Tsinghua University Press, Beijing.