Information potential for some probability density functions

作者：

Highlights：

• B-splines form sequences of probability density functions.

• Kernels of integral operators are viewed as probability density functions.

• Information potential is associated with probability density functions.

• Rényi, Tsallis, and Shannon entropies are related to information.

• Information potential is the core concept of information theoretic.

摘要

•B-splines form sequences of probability density functions.•Kernels of integral operators are viewed as probability density functions.•Information potential is associated with probability density functions.•Rényi, Tsallis, and Shannon entropies are related to information.•Information potential is the core concept of information theoretic.

论文关键词：Probability density function,Information potential,Entropy,Positive linear operators,B-spline functions

论文评审过程：Received 27 February 2020, Revised 4 June 2020, Accepted 26 July 2020, Available online 10 August 2020, Version of Record 10 August 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125578