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Mohsen Alimohammady

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 011-35302462

Research

Title
A family of functional equations related to the monomial functions and its stability
Type
JournalPaper
Keywords
Monomial
Year
2012
Journal arXiv preprint arXiv:1210.6615
DOI
Researchers Ali Sousaraie ، Mohsen Alimohammady ، Ali Sadeghi

Abstract

Our aim of this paper is to study a family of functional equation in vector and Banach spaces with difference operators, where this family of functional equation is a general mixed additive-quadratic-cubic-quartic functional equations. We show that every function satisfies the our functional equation is a monomial function with a certain degree. Furthermore, we deal with the generalized Hyers-Ulam stability of this family of functional equations in Banach space