THE INDEX FUNCTION OPERATOR FOR O-REGULARLY VARYING FUNCTIONS
| dc.citation.epage | 1046 | |
| dc.citation.spage | 1041 | |
| dc.citation.volume | 47 | |
| dc.contributor.author | DJURČIĆ, DRAGAN | |
| dc.contributor.author | FATIĆ, DANICA | |
| dc.contributor.author | ELEZ, NEBOJŠA | |
| dc.date.accessioned | 2024-12-18T12:11:13Z | |
| dc.date.available | 2024-12-18T12:11:13Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | 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. | |
| dc.identifier.doi | 10.46793/KgJMat2307.1041DJ | |
| dc.identifier.uri | https://vaseljena.ues.rs.ba/handle/123456789/1410 | |
| dc.language.iso | en | |
| dc.publisher | University of Kragujevac, Faculty of Science | |
| dc.source | Kragujevac Journal of Mathematics | |
| dc.subject | O-regularly varying function, index function. | |
| dc.title | THE INDEX FUNCTION OPERATOR FOR O-REGULARLY VARYING FUNCTIONS | |
| dc.type | Article |
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