Karamata’s Theory, Asymptotic Relations, and the Generalized Inverse

Rale M. Nikolić (), Valentina Timotić () and Dragan Djurčić ()
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Rale M. Nikolić: University of Defence
Valentina Timotić: University of East Sarajevo
Dragan Djurčić: University of Kragujevac

Chapter Chapter 13 in Analysis, Approximation, Optimization: Computation and Applications, 2025, pp 235-255 from Springer

Abstract: Abstract Results presented in this chapter are related to the mutual relationship between generalized inverse relations, weak asymptotic equivalence relations, and strong asymptotic equivalence relations in certain classes of functions studied in Karamata’s theory of regular variability. Starting from notions of regular variability, generalized inverse, weak and strong equivalence relations, and Theorem A, which was proved in one of its forms in the paper Balkema et al. (Q J Math Oxford Ser 30(2):385–416, 1979), we will present theorems which represent the characteristics of certain functional classes.

Date: 2025
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DOI: 10.1007/978-3-031-85743-0_13

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