Balkema A.A., Geluk J.L. and de Haan L. (1979) An Extension of Karamata’s Tauberian Theorem and Its Connection with Complementary Convex Functions. The Quarterly Journal of Mathematics, Oxford University Press, Series 2, 30, 385-416.
http://dx.doi.org/10.1093/qmath/30.4.385

has been cited by the following article:

• TITLE: The Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions. Part II: Algebraic Operations and Types of Exponential Variation

  AUTHORS: Antonio Granata

  KEYWORDS: Higher-Order Regularly-Varying Functions, Higher-Order Rapidly-Varying Functions, Smoothly-Varying Functions, Exponentially-Varying Functions, Asymptotic Functional Equations, Asymptotic Expansions

  JOURNAL NAME: Advances in Pure Mathematics, Vol.6 No.12, November 11, 2016

  ABSTRACT: In this second part, we thoroughly examine the types of higher-order asymptotic variation of a function obtained by all possible basic algebraic operations on higher-order varying functions. The pertinent proofs are somewhat demanding except when all the involved functions are regularly varying. Next, we give an exposition of three types of exponential variation with an exhaustive list of various asymptotic functional equations satisfied by these functions and detailed results concerning operations on them. Simple applications to integrals of a product and asymptotic behavior of sums are given. The paper concludes with applications of higher-order regular, rapid or exponential variation to asymptotic expansions for an expression of type f(x+r(x)).