2009; Physical and Mathematical Sciences, 43(1 (218): 20–23
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ON DISTRIBUTION’S CONSTANT SLOWLY VARYING COMPONENT

Gor Avakyan*

Received: 2025-02-28 · Published: 2009-02-19

© 2009 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
ON DISTRIBUTION’S CONSTANT SLOWLY VARYING COMPONENT
Author
Gor Avakyan
Published
2009-02-19
Licence
Creative Commons Attribution 4.0 International

Abstract

In the present report it is proved that for a priori given numbers ρ∈(1,+∞) and L∈R+=(0,∞) there is a distribution {pn}1∞ with the following properties: {pn}1∞ varies regularly as n→+∞ with exponent (−ρ), exhibits the constant slowly varying component L, and {log⁡pn}1∞ is downward convex.
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