New results on slowly varying functions in the Zygmund sense

Abstract:

Very recently Seneta [15] has provided a characterization of slowly varying functions L in the Zygmund sense by using the condition, for each y > 0, We extend this result by considering a wider class of functions and a more general condition than (1). Further, a representation theorem for this wider class is provided.

Año de publicación:

2020

Keywords:

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

Fuente:

scopus