BASIC PROPERTIES OF A SLOWLY VARIABLE FUNCTION CHARACTERISTICS

Authors

  • Tukhtaev Erkin Egamberdievich Teacher of the Department of Algebra and Geometry of Karshi State University
  • Ismatova Iroda Normo‘min qizi 2nd Year Master's Student in Mathematics of Karshi State University

DOI:

https://doi.org/10.26662/gmvngm77

Keywords:

Random variable, distribution function, slowly varying function, regularly varying function, regularly varying order.

Abstract

This article studies the properties of regular and slowly varying functions in the sense of Karamata. The regular variation of a function is a one-sided local asymptotic property of a given function. The class of functions with such properties arose as a result of attempts to extend the class of functions with level asymptotics around a point to the class of functions with “slowly varying” coefficients rather than level functions. The properties of slowly varying functions are used in number theory, in the theory of functions of complex variables, in the applications of probability theory and mathematical statistics.

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Published

2025-12-25

Issue

Vol. 11 No. 12 (2025): Journalnx

Section

Articles

License

Creative Commons License

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

How to Cite

BASIC PROPERTIES OF A SLOWLY VARIABLE FUNCTION CHARACTERISTICS. (2025). JournalNX - A Multidisciplinary Peer Reviewed Journal, 11(12), 89-98. https://doi.org/10.26662/gmvngm77