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On Local Convergence Analysis of Inexact Newton Method for Singular Systems of Equations under Majorant Condition [PDF]
The Scientific World Journal, 2014 We present a local convergence analysis of inexact Newton method for solving singular systems of equations. Under the hypothesis that the derivative of the function associated with the singular systems satisfies a majorant condition, we obtain that the ...
Fangqin Zhou
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A law of the iterated logarithm for Grenander's estimator. [PDF]
Stoch Process Their Appl, 2016 In this note we prove the following law of the iterated logarithm for the Grenander estimator of a monotone decreasing density: If $f(t_0) > 0$, $f'(t_0) < 0$, and $f'$ is continuous in a neighborhood of $t_0$, then \begin{eqnarray*} \limsup_{n ...
Dümbgen L, Wellner JA, Wolff M.
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Estimation of a discrete monotone distribution. [PDF]
Electron J Stat, 2009 We study and compare three estimators of a discrete monotone distribution: (a) the (raw) empirical estimator; (b) the "method of rearrangements" estimator; and (c) the maximum likelihood estimator.
Jankowski HK, Wellner JA.
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Journal of Numerical Analysis and Approximation Theory, 2020 This paper presents a comparative numerical study between line search methods and majorant functions to compute the displacement step in barrier logarithmic method for linear programming.
Soraya Chaghoub, Djamel Benterki
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On Composition Operators on N+(?) [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 1998 Let N(?) denote the class of analytic functions fin a domain ?, contained in the complex numbers C, such that log(1+| f |) has a harmonic majorant. The subclass N+(?) of N(?) consists of all f such that log(1+| f |) has a quasi-bounded harmonic majorant.
Mahmud Masri
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On Interpolation in Hardy- Orlicz Spaces [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2012 The Hardy-Orlicz space Hφ is the space of all analytic functions f on the open unit disk D such that the subharmonic function φ(| f |) has a harmonic majorant on D , where φ is a modulus function.
Mahmud Masri
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Three-Dimensional Nonlinear Integral Operator with the Modelling of Majorant Function
مجلة بغداد للعلوم, 2021 In this paper, the process for finding an approximate solution of nonlinear three-dimensional (3D) Volterra type integral operator equation (N3D-VIOE) in R3 is introduced.
Hameed Husam Hameed, Hayder M Al-Saedi
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Asymptotically accurate error estimates of exponential convergence for the trapezoidal rule
Discrete and Continuous Models and Applied Computational Science, 2021 In many applied problems, efficient calculation of quadratures with high accuracy is required. The examples are: calculation of special functions of mathematical physics, calculation of Fourier coefficients of a given function, Fourier and Laplace ...
Aleksandr A. Belov +1 more
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Interpolation and harmonic majorants in big Hardy-Orlicz spaces [PDF]
, 2006 Free interpolation in Hardy spaces is caracterized by the well-known Carleson condition. The result extends to Hardy-Orlicz spaces contained in the scale of classical Hardy spaces $H^p$, $p>0$.
A. G. Naftalevič +16 more
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Restriction theory of the Selberg sieve, with applications [PDF]
, 2004 The Selberg sieve provides majorants for certain arithmetic sequences, such as the primes and the twin primes. We prove an L^2-L^p restriction theorem for majorants of this type.
Green, Ben, Tao, Terence
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