Some asymptotic relations for the generalized inverse |
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| Authors: | Dragan Djur?i? |
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| Institution: | a Technical Faculty, Svetog Save 65, 32000 ?a?ak, Serbia
b Mathematical Faculty, Studentski trg 16a, 11000 Belgrade, Serbia |
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| Abstract: | In this paper we investigate the connection between the asymptotic relations of subordination and the negligence with the generalized inverse function in the class of all nondecreasing and unbounded functions, which are defined on a half-axis a,+∞)(a>0). In the main theorems we prove a characterization of all nondecreasing, unbounded slowly varying functions. |
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| Keywords: | Regularly varying functions Slowly varying functions Generalized inverse of function |
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