Прегледај по Аутор "ELEZ, NEBOJŠA"

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    THE INDEX FUNCTION OPERATOR FOR O-REGULARLY VARYING FUNCTIONS
    (University of Kragujevac, Faculty of Science, 2023) DJURČIĆ, DRAGAN; FATIĆ, DANICA; ELEZ, NEBOJŠA
    The paper examines the functional transformation K of the class ORVφ (see [3]) into the class of positive functions on interval (0,+∞) defined as follows: (0.1) K(f) = kf , where kf (λ) = limsup x→+∞ f(λx) f(x) , λ ∈ (0,+∞), and f ∈ ORVφ. Let f ∈ IRVφ or SOφ (see [4]), K be the transformation (0.1) and for any n ∈ N, Kn(f) = K(K · · · (K | {z } n (f)) · · · ), then the function p(s) = limn→+∞ Kn(f)(s), s > 0, is IRVφ (and continuous) and SOφ, respectively.