Vali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19365120180801Some Results on Convex Spectral Functions: I49562939010.22072/wala.2017.66630.1123ENAli Reza SattarzadehDepartment of Mathematics, Kerman Graduate University of Advanced Technology, Kerman, Iran.Hossein MohebiShahid Bahonar University of KermanJournal Article20170620In 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.http://wala.vru.ac.ir/article_29390_8fbfacedf5f697bbe26f048cf0b44053.pdf