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Strong Asymptotic Equivalence and Inversion of Functions in the Class Kc

✍ Scribed by Dragan Djurčić; Aleksandar Torgašev

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
76 KB
Volume
255
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper we consider the class of functions K c introduced by W. Matuszewska (1964, Studia Math. 24, 271-279) and W. Matuszewska and W. Orlicz (1965, Studia Math. 26, 11-24). As a main result we describe, in terms of the class K c , when two strictly increasing functions, as well as their inverse functions, are asymptoticaly equivalent in the strong sense. This result also gives a proper characterization of the class K c .

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