Gibbs–Butzer derivatives over p-adic fields

Abstract

This is a survey of a series of new results concerned with the Gibbs–Butzer derivatives and their applications over p-adic fields made by the group of modern harmonic analysts and approximation theorists in Nanjing University of China.

Keywords:

• Gibbs–Butzer derivative
• p-adic fields
• pseudo-differential operators

AMS Subject Classifications::

• 11F85
• 28A78
• 43A25
• 28A80

Acknowledgement

This work was supported by National Natural Science Foundation of China No. 10901081.