EUDML | O-Regular Variation And Uniform Convergence

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Displaying similar documents to “O-Regular Variation And Uniform Convergence”

Very slowly varying functions. II

N. H. Bingham, A. J. Ostaszewski (2009)

Colloquium Mathematicae

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This paper is a sequel to papers by Ash, Erdős and Rubel, on very slowly varying functions, and by Bingham and Ostaszewski, on foundations of regular variation. We show that generalizations of the Ash-Erdős-Rubel approach-imposing growth restrictions on the function h, rather than regularity conditions such as measurability or the Baire property-lead naturally to the main result of regular variation, the Uniform Convergence Theorem.

A proof of an Aljančić hypothesis on $𝒪$ -regularly varying sequences.

Đurčić, Dragan, Božin, Vladimir (1997)

Publications de l'Institut Mathématique. Nouvelle Série

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Two Propositions On Slowly Varying Functions

Dušan D. Adamović (1990)

Publications de l'Institut Mathématique

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Regularly varying ultradistributions

B. Stanković (1995)

Publications de l'Institut Mathématique

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Remarks on the Existence of Regularly Varying Solutions for Second Order Linear Differential Equations

Jaroslav Jaroš, Takasi Kusano (2002)

Publications de l'Institut Mathématique

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Abelian Type Theorems for some Integral Operators in Rn

Tatjana Ostrogorski (1984)

Publications de l'Institut Mathématique

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Regularly Varying Functions

Anders Hedegaard Jessen, Thomas Mikosch (2006)

Publications de l'Institut Mathématique

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A theorem of Galambos-Bojanić-Seneta type.

Djurčić, Dragan, Torgašev, Aleksandar (2009)

Abstract and Applied Analysis

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Regularly increasing functions in connection with the theory of $L^{* φ}$ -spaces

W. Matuszewska (1962)

Studia Mathematica

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Decaying Regularly Varying Solutions of Third-order Differential Equations with a Singular Nonlinearity

Ivana Kučerová (2014)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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This paper is concerned with asymptotic analysis of strongly decaying solutions of the third-order singular differential equation $x^{'''} + q (t) x^{- γ} = 0$ , by means of regularly varying functions, where $γ$ is a positive constant and $q$ is a positive continuous function on $[a, \infty)$ . It is shown that if $q$ is a regularly varying function, then it is possible to establish necessary and sufficient conditions for the existence of slowly varying solutions and regularly varying solutions of (A) which decrease to $0$ as $t \to \infty$ and...