In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions. The most developed approaches related to generalized functions are ...

Abstract. Motivated by a general theory of finite asymptotic expansions in the real domain for functions f of one real variable, a theory developed in a previous series of papers, we present a ...

In this paper, we deal with integrals whose integrand has a rapidly oscillating zero-order Bessel function of the first kind with real parameters in its argument, which can become large. We introduce ...

The use of Lyapunov functions in Lyapunov's Direct Method for analyzing power system transient asymptotic stability is studied. A previous study by other investigators claimed to establish the ...

Example 20.2: Displaying Limits Based on Asymptotic Values. See MACEW3 in the SAS/QC Sample Library: The upper (lower) control limits in Output 20.1.1 are monotonically increasing (decreasing). As the ...

Function Spaces: Collections of functions that share common properties, such as smoothness or integrability, allowing for the analysis of their behavior and relationships.

Explore non-asymptotic properties of modified least squares estimates for non-linear function f(λ*) with observations dependent on λ*. Discover fixed-size non-asymptotic confidence regions for ...

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