Title of article :
Some Results on Convex Spectral Functions: I
Author/Authors :
Sattarzadeh, Ali Reza Department of Mathematics - Graduate University of Advanced Technology, Kerman , Mohebi, Hossein Department of Mathematics and Mahani Mathematical Research Center - Shahid Bahonar University of Kerman
Abstract :
In this paper, we give a fundamental convexity preserving for
spectral functions. Indeed, we investigate infimal convolution,
Moreau envelope and proximal average for convex spectral functions,
and show that this properties are inherited from the properties
of its corresponding convex function. This results have
many applications in Applied Mathematics such as semi-definite
programmings and engineering problems.
Keywords :
Spectral function , Proximal average , Moreau envelope , Infimal convolution
Journal title :
Astroparticle Physics
