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Asymptotically Quasi-inverse Functions

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Pseudo-Regularly Varying Functions and Generalized Renewal Processes

Part of the book series: Probability Theory and Stochastic Modelling ((PTSM,volume 91))

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Abstract

Let f be a real function f defined and locally bounded on [t 0, ∞) for some t 0 ≥ 0. In this chapter, we consider asymptotically inverse and asymptotically quasi-inverse functions for such functions and discuss four problems concerning their behavior.

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Author information

Authors and Affiliations

  1. Department of Mathematical Analysis, National Technical University of Ukraine, Kyiv, Ukraine

    Valeriĭ V. Buldygin

  2. Department of Mathematics, University of Paderborn, Paderborn, Germany

    Karl-Heinz Indlekofer

  3. Department of Mathematical Analysis and Probability Theory, National Technical University of Ukraine, Kyiv, Ukraine

    Oleg I. Klesov

  4. Mathematical Institute, University of Cologne, Cologne, Germany

    Josef G. Steinebach

Authors
  1. Valeriĭ V. Buldygin
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  2. Karl-Heinz Indlekofer
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  3. Oleg I. Klesov
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  4. Josef G. Steinebach
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Buldygin, V.V., Indlekofer, KH., Klesov, O.I., Steinebach, J.G. (2018). Asymptotically Quasi-inverse Functions. In: Pseudo-Regularly Varying Functions and Generalized Renewal Processes. Probability Theory and Stochastic Modelling, vol 91. Springer, Cham. https://doi.org/10.1007/978-3-319-99537-3_7

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