Upper Bound Design for the Lipschitz Constant of the FG(ν,q)-Entropy Operator

Mathematics

YuriS. Popkov¹ 

[1] Institute for Systems Analysis of Federal Research Center “Computer Science and Control” of Russian Academy of Sciences, Moscow 119333, Russia;

关键词: entropy;    majorant;    normal operator;    monotonic operator;    vector interval;   

DOI  :  10.3390/math6050073

来源: DOAJ

【 摘 要 】

This paper develops an upper bound design method of the Lipschitz constant for the generalized Fermi–Dirac information entropy operator with a polyhedral admissible set. We introduce the concept of a normal operator from this class in which the constraint matrix has normalized columns. Next, we establish a connection between the normal and original operator. Finally, we demonstrate that the normal operator is majorized by the linear one and find numerical characteristics of this majorant.

【 授权许可】

Unknown