Π-variation with remainder

Abstract:

Let b: R+→R+ be an O-regularly varying function. In this paper we are concerned with the class of functions L for which there exists a function a: R+ → R such that L(tx) — L(x) — a(x) log(t) = 0(b(x)) as x→ ∞ for t > 0. We also discuss Abel-Tauber-Mercer theorems for a class of integral transforms of these functions. © 1988 Oxford University Press.

Año de publicación:

1988

Keywords:

Fuente:

scopus