Intermediate Regular and Variation Academic Article uri icon

abstract

  • A generalization of regular variation is discussed which is intermediate to extended regular variation and O-regular variation. Analogous to this intermediate regular variation is intermediate variation, a generalization of variation. Paralleling the theories of regular variation and variation, we demonstrate uniform convergence and representation theorems. We also prove a Karamata theorem and a Tauberian theorem for intermediate regular variation and in so doing we include an interesting extension to the corresponding results for O-regular variation. Contained in our proofs is the resolution of a measurability problem extant in other discussions of generalized regular variation. 1994 The London Mathematical Society.

published proceedings

  • Proceedings of the London Mathematical Society

author list (cited authors)

  • Cline, D.

citation count

  • 71

complete list of authors

  • Cline, Daren BH

publication date

  • January 1994

publisher