Results 21 to 30 of about 5,144,504 (199)
Cognitive function in major depression
Journal of Affective Disorders, 1992 Forty patients with a major depressive episode were divided into equal endogenous and neurotic sub-groups using the Newcastle scale. They were all rated on the 17-item Hamilton scale and with a variety of neuropsychological tests. They were compared with 20 age- and education-matched control subjects.
Austin, Marie-Paule +5 more
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On one rational integral operator of Fourier – Chebyshev type and approximation of Markov functions
Журнал Белорусского государственного университета: Математика, информатика, 2020 The purpose of this paper is to construct an integral rational Fourier operator based on the system of Chebyshev – Markov rational functions and to study its approximation properties on classes of Markov functions. In the introduction the main results of
Pavel G. Patseika +2 more
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Expanding the applicability of the Gauss-Newton method for a certain class of systems of equations
Journal of Numerical Analysis and Approximation Theory, 2016 We present a new semilocal convergence analysis of the Gauss-Newton method in order to solve a certain class of systems of equations under a majorant condition.
Ioannis K. Argyros, Santhosh George
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On the Hardy–Littlewood majorant problem for random sets [PDF]
, 2008 We study the classical Hardy–Littlewood majorant problem for trigonometric polynomials. We show that the constant in the majorant inequality grows at most like an arbitrary small power of the degree provided the spectrum is chosen at random. We also give
Schlag, W. +3 more
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Asymptotic shape of the concave majorant of a L\'evy process [PDF]
, 2021 We establish distributional limit theorems for the shape statistics of a concave majorant (i.e. the fluctuations of its length, its supremum, the time it is attained and its value at $T$) of any L\'evy process on $[0,T]$ as $T\to\infty$. The scale of the
Mijatović, Aleksandar +2 more
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On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation
Abstract and Applied Analysis, 2015 We develop the Newton-Kantorovich method to solve the system of 2×2 nonlinear Volterra integral equations where the unknown function is in logarithmic form. A new majorant function is introduced which leads to the increment of the convergence interval.
Hameed Husam Hameed +3 more
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ON DISTORTION OF THE MODULI OF RINGS UNDER LOCALLY QUASICONFORMAL MAPPINGS IN R^n
Проблемы анализа, 2015 Some of the earlier results of author concerning distortion of the moduli of ring domains under planar locally quasiconformal mappings are generalized on the case of locally quasiconformal mappings in Rn, n ≥ 2.
S. Yu. Graf
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СREATION OF CORRELATION FUNCTIONS OF LINEAR CONTINUOUS SYSTEMS BASED ON THEIR FUNDAMENTAL MATRICES [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2015 The paper presents a method of creating correlation matrices and functions of the state vectors and outputs of the linear continuous systems functioning under the conditions of stochastic stationary, in a broad sense, effects.
N. A. Vunder +3 more
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Majorization bounds for distribution functions
Statistics & Probability Letters, 2012 Let $X$ be a random variable with distribution function $F,$ and $X_{1},X_{2},...,X_{n}$ are independent copies of $X.$ Consider the order statistics $X_{i:n},$ $i=1,2,...,n$ and denote $F_{i:n}(x)=P\{X_{i:n}\leq x\}.$ Using majorization theory we write upper and lower bounds for $F$ expressed in terms of mixtures of distribution functions of order ...
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Моделирование и анализ информационных систем, 2013 In this paper, some exact inequalities between the best approximations of periodic differentiable functions with trigonometric polynomials and generalized moduli of the continuity Ωm of m-th order in L₂[0, 2π] space are found.
M. R. Langarshoev
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