Results 11 to 20 of about 631,519 (293)
Very slowly varying functions. II [PDF]
Colloquium Mathematicum, 2009 This paper is a sequel to both Ash, Erdos and Rubel AER, on very slowly varying functions, and BOst1, on foundations of regular variation. We show that generalizations of the Ash-Erdos-Rubel approach -- imposing growth restrictions on the function h, rather than regularity conditions such as measurability or the Baire property -- lead naturally to the ...
N. H. Bingham, A. J. Ostaszewski
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Some Reiteration Theorems for R, L, RR, RL, LR, and LL Limiting Interpolation Spaces
Journal of Function Spaces, 2021 We consider the K-interpolation methods involving slowly varying functions. We establish some reiteration formulae including so-called L or R limiting interpolation spaces as well as the RR, RL, LR, and LL extremal interpolation spaces.
Leo R. Ya. Doktorski
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Combined Effects in Singular Elliptic Problems in Punctured Domain
Journal of Function Spaces, 2021 The paper deals with nonlinear elliptic differential equations subject to some boundary value conditions in a regular bounded punctured domain. By means of properties of slowly regularly varying functions at zero and the Schauder fixed-point theorem, we ...
Imed Bachar +2 more
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Mathematics, 2023 In this paper we study the Marcinkiewicz–Zygmund-type strong law of large numbers with general normalizing sequences under sublinear expectation. Specifically, we establish complete convergence in the Marcinkiewicz–Zygmund-type strong law of large ...
Shuxia Guo, Zhe Meng
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Large Deviation Results and Applications to the Generalized Cramér Model
Mathematics, 2018 In this paper, we prove large deviation results for some sequences of weighted sums of random variables. These sequences have applications to the probabilistic generalized Cramér model for products of primes in arithmetic progressions; they could lead to
Rita Giuliano, Claudio Macci
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Differences of Slowly Varying Functions
Journal of Mathematical Analysis and Applications, 2000 A positive non-decreasing function \(F\) belongs to the class \(\text{O}\Pi^+\) if \(\limsup(t\to\infty)(F(st)- F(t))= M(s)\) is finite for every \(s> 1\). Given a non-decreasing slowly varying function \(L\), if, whenever it is written as a sum \(L= F+G\) of two non-decreasing functions, both \(F\) and \(G\) are slowly varying, \(L\) is said to have ...
Janković, Slobodanka +1 more
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Reiteration Formulae for the Real Interpolation Method Including L or R Limiting Spaces
Journal of Function Spaces, 2020 We consider a real interpolation method defined by means of slowly varying functions. We present some reiteration formulae including so-called L or R limiting interpolation spaces.
Leo R. Ya. Doktorski
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Energies, 2023 State-of-charge (SoC) estimation is one of the core functions of battery energy management systems. An accurate SoC estimation can guarantee the safe and reliable operation of the batteries system.
Aihua Wu +4 more
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Aequationes Mathematicae, 1972 Let \(\varphi\) be a positive non-decreasing real valued function defined on \([0, \infty)\), and let \(f\) be any real valued function defined on \([0, \infty)\). We say that \(f\) is \(\varphi\)-slowly varying if \(\varphi (x)[f(x+ \alpha)-f(x)] \to 0\) as \(x \to \infty\) for each \(\alpha\). We say that \(f\) is uniformly \(\varphi\)-slowly varying
Erdös, P. +2 more
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Structural theorems for quasiasymptotics of distributions at infinity [PDF]
, 2008 Complete structural theorems for quasiasymptotics of distributions are presented in this article. For this, asymptotically homogeneous functions and associate asymptotically homogeneous functions at infinity with respect to a slowly varying function are ...
Vindas Diaz, Jasson
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