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2013, vol. 17, br. 1, str. 75-78
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Asymptotic properties of rapidly varying functions
(naslov ne postoji na srpskom)
Ključne reči: Rapidly varying functions; asymptotic properties
Sažetak
(ne postoji na srpskom)
In this paper we study asymptotic properties of rapidly varying functions. The important properties of this class that are related to arithmetic mean will be proved. The asymptotic properties of series Σn=1f (n) when ƒ rapidly varying functions will be proved, also.
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Reference
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Bingham, N.H., Goldie, C.M., Teugels, J.L. (1987) Regular variation. u: Encyclopedia of Mathematics and its Applications, Cambridge, itd: Cambridge University Press / CUP
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Elez, N., Djurčić, D. (2013) Some properties of rapidly varying functions. Journal of Mathematical Analysis and Applications, 401(2): 888-895
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6
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Karamata, J. (1930) Sur un mode de croissance reguliere des fonctions. Mathematica, Cluj, 4, 38-53
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