Asymptotically Comparable Functions

Dmitrii Silvestrov
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Dmitrii Silvestrov: Stockholm University, Department of Mathematics

Chapter Chapter 8 in Perturbed Semi-Markov Type Processes I, 2022, pp 203-218 from Springer

Abstract: Abstract In this chapter, we introduce the notion of a complete family of asymptotically comparable functions and present operating rules and formulas for such families. This concept plays a key role in perturbation conditions for semi-Markov type processes. We also consider typical examples of such families, namely, families of asymptotically comparable power type, power-exponential type, and power-logarithmic type functions. This chapter includes two sections.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-92403-4_8

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DOI: 10.1007/978-3-030-92403-4_8

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