Very slowly varying functions. II

• Autorzy: N. H. Bingham , A. J. Ostaszewski
• Języki publikacji: EN

Abstrakty

EN

This paper is a sequel to papers by Ash, Erdős and Rubel, on very slowly varying functions, and by Bingham and Ostaszewski, on foundations of regular variation. We show that generalizations of the Ash-Erdős-Rubel approach-imposing growth restrictions on the function h, rather than regularity conditions such as measurability or the Baire property-lead naturally to the main result of regular variation, the Uniform Convergence Theorem.

Kategorie tematyczne

• 26A03: Foundations: limits and generalizations, elementary topology of the line

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 116
• Numer: 1
• Strony: 105-117

Daty

wydano

2009

Twórcy

autor

N. H. Bingham

• Mathematics Department, Imperial College London, London SW7 2AZ, UK

autor

A. J. Ostaszewski

• Mathematics Department, London School of Economics, Houghton Street, London WC2A 2AE, UK

Identyfikatory

DOI

10.4064/cm116-1-5