The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

A Tauberian Theorem Concerning Slowly Oscillating Functions


Affiliations
1 University of Illinois, United States
     

   Subscribe/Renew Journal


A positive-valued function L(x) denned for x≥a, where a is some positive number, is called slowly-oscillating, if it is measurable and if for every c>0, we have
L(cx)/L(x)→1, as x→+∞.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 233

PDF Views: 0




  • A Tauberian Theorem Concerning Slowly Oscillating Functions

Abstract Views: 233  |  PDF Views: 0

Authors

S. Parameswaran
University of Illinois, United States

Abstract


A positive-valued function L(x) denned for x≥a, where a is some positive number, is called slowly-oscillating, if it is measurable and if for every c>0, we have
L(cx)/L(x)→1, as x→+∞.