On some extensions of Karamata’s theory and their applications | Zendy

V. V. Buldygin | Zendy; Oleg Klesov | Zendy; Josef Steinebach | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On some extensions of Karamata’s theory and their applications

Author(s) -

V. V. Buldygin,

Oleg Klesov,

Josef Steinebach

Publication year - 2006

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim0694059b

Subject(s) - mathematics , degenerate energy levels , factorization , inverse , convergence (economics) , pure mathematics , algorithm , physics , geometry , quantum mechanics , economics , economic growth

This is a survey of the authors' results on the properties and appli- cations of some subclasses of (so-called) O-regularly varying (ORV) functions. In particular, factorization and uniform convergence theorems for Avaku- movic-Karamata functions with non-degenerate groups of regular points are presented together with the properties of various other extensions of regularly varying functions. A discussion of equivalent characterizations of such classes of functions is also included as well as that of their (asymptotic) inverse func- tions. Applications are given concerning the asymptotic behavior of solutions of certain stochastic differential equations.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research