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 ...

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 ...

Abstract: Summary form only given: In various applications involving electromagnetic scattering by smooth convex surfaces, with or without an impedance boundary condition, the appropriate scalar Green ...

Abstract: Solutions to network optimization problems have greatly benefited from developments in nonlinear analysis, and, in particular, from developments in convex optimization. A key concept that ...

Take $n$ points at random on a circle of unit circumference and order them clockwise. Let $S^{(m)}_0,\cdots, S^{(m)}_{n-1}$ be the $m$th order spacings, i.e., the ...

In this paper we will investigate some non-asymptotic properties of the modified least squares estimates for the non-linear function f(λ*) by observations that nonlinearly depend on the parameter λ*.

The transmission of infectious diseases on a particular network is ubiquitous in the physical world. Here, we investigate the transmission mechanism of infectious diseases with an incubation period ...

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