Upper bound design for the Lipschitz constant of the \(F_G (v,q)\)-entropy operator (Q6156681)

Summary: 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.