Open AccessAsymptotic similarity relation and generalized inverse
Author(s) -
Dragan Djurčić,
Valentina Konjokrad,
Rale M. Nikolić
Publication year - 2012
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1205075d
Subject(s) - mathematics , equivalence relation , inverse , similarity (geometry) , equivalence (formal languages) , pure mathematics , class (philosophy) , geometry , artificial intelligence , computer science , image (mathematics)
Inthispaperwediscussrelationshipsamongasymptoticsimilarity,weakasymptoticequivalence and the generalized inverse in the class A of all nondecreasing unbounded positive functions on a half- axis (a, +∞) (a > 0). As a main result, we prove proper characterizations of some classes of functions in Karamata's theory of regular and rapid variation.
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