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

Author

Listed:
  • Rale M. Nikolić

    (University of Defence)

  • Valentina Timotić

    (University of East Sarajevo)

  • Dragan Djurčić

    (University of Kragujevac)

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.

Suggested Citation

  • Rale M. Nikolić & Valentina Timotić & Dragan Djurčić, 2025. "Karamata’s Theory, Asymptotic Relations, and the Generalized Inverse," Springer Optimization and Its Applications,, Springer.
    • Handle: RePEc:spr:spochp:978-3-031-85743-0_13
    DOI: 10.1007/978-3-031-85743-0_13
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