The Journal of the Indian Mathematical Society

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A Tauberian Theorem Concerning Slowly Oscillating Functions


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1 University of Illinois, United States
     

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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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  • A Tauberian Theorem Concerning Slowly Oscillating Functions

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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→+∞.