On convergence rates of some limits

Abstract:

In 2019 Seneta has provided a characterization of slowly varying functions L in the Zygmund sense by using the condition, for each as x → ∞. Very recently, we have extended this result by considering a wider class of functions U related to the following more general condition. For each as x → ∞, for some functions r and g. In this paper, we examine this last result by considering a much more general convergence condition. A wider class related to this new condition is presented. Further, a representation theorem for this wider class is provided.

Año de publicación:

2020

Keywords:

• Monotony in the zygmund sense
• Slowly varying
• Convergence rates
• Class Γ (g) a
• Self-neglecting function

Fuente:

scopus