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Comparative numerical study between line search methods and majorant functions in barrier logarithmic methods for linear programming [PDF]

open access: yesJournal 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
doaj   +11 more sources

On Local Convergence Analysis of Inexact Newton Method for Singular Systems of Equations under Majorant Condition [PDF]

open access: yesThe 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
doaj   +3 more sources

Three-Dimensional Nonlinear Integral Operator with the Modelling of Majorant Function [PDF]

open access: yesمجلة 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
doaj   +4 more sources

A new application of boundary integral behaviors of harmonic functions to the least harmonic majorant

open access: yesBoundary Value Problems, 2017
Our main aim in this paper is to obtain a new type of boundary integral behaviors of harmonic functions in a smooth cone. As an application, the least harmonic majorant of a nonnegative subharmonic function is also given.
Minghua Han, Jianguo Sun, Gaoying Xue
doaj   +3 more sources

On Composition Operators on N+(?) [PDF]

open access: yesمجلة 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
doaj   +1 more source

On Interpolation in Hardy- Orlicz Spaces [PDF]

open access: yesمجلة 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
doaj   +1 more source

Asymptotically accurate error estimates of exponential convergence for the trapezoidal rule

open access: yesDiscrete 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
doaj   +1 more source

On generalized characteristics of smoothness of functions and on average $\nu$-widths in the space $L_2(\mathbb{R})$

open access: yesResearches in Mathematics, 2019
Estimates above and estimates below have been obtained for Kolmogorov, linear and Bernshtein average $\nu$-widths on the classes of functions $W^r (\omega^w, \Psi)$, where $r \in \mathbb{N}$, $\omega^w(f)$ is the generalized characteristic of smoothness ...
S.B. Vakarchuk, M.B. Vakarchuk
doaj   +1 more source

STABILITY-PRESERVING PERTURBATION OF THE MAXIMAL TERMS OF DIRICHLET SERIES

open access: yesПроблемы анализа, 2022
We study stability of the maximal term of the Dirichlet series with positive exponents, the sum of which is an entire function. This problem is of interest, because the Leont’ev formulas for coefficients calculated using a biorthogonal system of ...
A. M. Gaisin, N. N. Aitkuzhina
doaj   +1 more source

Isolated singularities of mappings with the inverse Poletsky inequality

open access: yesМатематичні Студії, 2021
The manuscript is devoted to the study of mappings with finite distortion, which have been actively studied recently. We consider mappings satisfying the inverse Poletsky inequality, which can have branch points.
E.A. Sevost'yanov
doaj   +1 more source

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