On a Functional Equation Containing Four Weighted Arithmetic Means

Tail dependence for weighted mean of two copula function

In this paper, we study the properties of power weighted means, arithmetic, geometry and harmonic for two copulas.

Sets with Prescribed Arithmetic Densities

Using concepts of generalized asymptotic and logarithmic densities based on weighted arithmetic means over an arithmetical semigroup G we prove that under some additional technical assumptions on the weighted counting function of its elements, a subset of G exists with all four generalized densities (upper and lower asymptotic and logarithmic) prescribed subject to the natural condition 0 ≤ d(A...

A remark on the means of the number of divisors

‎We obtain the asymptotic expansion of the sequence with general term $frac{A_n}{G_n}$‎, ‎where $A_n$ and $G_n$ are the arithmetic and geometric means of the numbers $d(1),d(2),dots,d(n)$‎, ‎with $d(n)$ denoting the number of positive divisors of $n$‎. ‎Also‎, ‎we obtain some explicit bounds concerning $G_n$ and $frac{A_n}{G_n}$.

Exact soultion of full interval linear equation AX=B based on Kaucher arithmetic

A new method for the generalized Hyers-Ulam-Rassias stability

We propose a new method, called the textit{the weighted space method}, for the study of the generalized Hyers-Ulam-Rassias stability. We use this method for a nonlinear functional equation, for Volterra and Fredholm integral operators.