The strong asymptotic equivalence and the generalized inverse

被引:6
作者
Djurcic, D. [1 ]
Torgasev, A. [2 ]
Jesic, S. [2 ]
机构
[1] Univ Kragujevac, Cacak, Serbia
[2] Univ Belgrade, Belgrade, Serbia
关键词
regular variability; generalized inverse; asymptotic equivalence;
D O I
10.1007/s11202-008-0059-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We discuss the relationship between the strong asymptotic equivalence. relation and the generalized inverse in the class A of all nondecreasing and unbounded functions, defined and positive oil a, half-axis [a, + infinity) (a > 0). In the main theorem, we prove a proper characterization of the function class IRV boolean AND A, where IRV is the class of all O-regularly varying functions (in the sense of Karainata) having continuous index function.
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页码:628 / 636
页数:9
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