Function spaces and asymptotic analysis are essential areas of mathematical research that explore the properties and behaviors of functions under various conditions. Function spaces, such as Besov and ...

Function spaces form a fundamental framework in modern mathematical analysis, allowing researchers to systematically study functions through norms, metrics and topological properties. Asymptotic ...

In this paper, we consider the function f p ( t )= 2p X 2 ( 2p t+p;p ) , where χ²(x; n) defined by X 2 ( x;p )= 2 −p/2 Γ( p/2 ) e −x/2 x p/2−1 , is the density function of a χ²-distribution with n ...

Some general results concerning the asymptotic behavior of the value of the empirical distribution function at a random point (e.g. the sample mean) are given. These results are then used to obtain: ...