A Tauberian Theorem Concerning Slowly Oscillating Functions

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Authors

  • S. Parameswaran
     University of Illinois ,US

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→+∞.

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Published

1961-12-01

How to Cite

Parameswaran, S. (1961). A Tauberian Theorem Concerning Slowly Oscillating Functions. The Journal of the Indian Mathematical Society, 25(3-4), 229–235. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/22062

Issue

Volume 25, Issue 3-4, September-December 1961

Section

Articles

License

Copyright (c) 1961 S. Parameswaran

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.