On the generalized A-quadratic mappings associated with the variance of a discrete-type distribution Original Research Article

In this paper, we prove the Hyers–Ulam–Rassias stability of the following generalized quadratic functional equation of Euler–Lagrange type View the MathML source∑i=1nriQ∑j=1nrj(xi-xj)+∑i=1nriQ∑i=1nrixi=∑i=1nri2∑i=1nriQ(xi) Turn MathJax on in Banach modules over a unital C*C*-algebra, where n>1n>1 is a positive integer and View the MathML source{ri∈(0,∞)|i=1,…,n} is arbitrary given.