Results 61 to 70 of about 7,613 (204)
IET Renewable Power Generation, Volume 19, Issue 1, January/December 2025.HVDCsystems are taken into consideration while GTEP in this paper. It is based on the placement and sizing of generating units, AC transmission cables, and HVDC systems. ABSTRACT High‐voltage DC (HVDC) systems are taken into consideration while simultaneous generation and transmission expansion planning in this paper.
Kazem Emdadi, Sasan Pirouzi
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Note on Qualitative Robustness of Multivariate Sample Mean and Median
Journal of Probability and Statistics, 2013 It is known that the robustness properties of estimators depend on the choice of a metric in the space of distributions. We introduce a version of Hampel's qualitative robustness that takes into account the n-asymptotic normality of estimators in Rk, and
Evgueni Gordienko +2 more
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Refined Young inequality with Kantorovich constant [PDF]
Journal of Mathematical Inequalities, 2011 The Specht ratio S(h) is the optimal constant in the reverse of the arithmetic-geometric mean inequality, i.e., if 0 0, μ ∈ (0,1) ,w hereh = b and r = min{μ,1 − μ}. In this paper, we improve it by virtue of the Kantorovich constant, utilizing the refined scalar Young inequality we establish a weighted arithmetic-geometric-harmonic mean inequality for
Hongliang Zuo +2 more
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A Bernstein‐Like Trigonometric Basis: Properties, Curve Design, and Operator Construction
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.We introduce a novel family of trigonometric basis functions equipped with a shape parameter, analogous to Bernstein functions. These basis functions are employed to construct Bézier‐like curves, termed “trigo‐curves”, which retain the fundamental properties of classical Bézier curves while offering enhanced shape control through parameter adjustment ...
Jamshid Saeidian +3 more
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Approximation Properties of a New Class of Beta‐Type Szász–Mirakjan Operators
Journal of Mathematics, Volume 2025, Issue 1, 2025.We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász‐beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K‐function, the local approximation results of these operators are studied.
Md. Nasiruzzaman +3 more
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Learning from small data sets: Patch‐based regularizers in inverse problems for image reconstruction
GAMM-Mitteilungen, Volume 47, Issue 4, November 2024.Abstract The solution of inverse problems is of fundamental interest in medical and astronomical imaging, geophysics as well as engineering and life sciences. Recent advances were made by using methods from machine learning, in particular deep neural networks.
Moritz Piening +5 more
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On the Inequalities of Grüss–Čebyshev and Kantorovich: A Probabilistic Approach
Elemente der Mathematik, 2020 Summary: First we recall the original form of inequalities found by P. L. Čebyshev in 1882, G. Grüss in 1935 and V. L. Kantorovich in 1948. Then we formulate generalized versions of these inequalities in the language of probability theory which allows to prove them by simple probabilistic arguments.
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Neural‐network‐based regularization methods for inverse problems in imaging
GAMM-Mitteilungen, Volume 47, Issue 4, November 2024.Abstract This review provides an introduction to—and overview of—the current state of the art in neural‐network based regularization methods for inverse problems in imaging. It aims to introduce readers with a solid knowledge in applied mathematics and a basic understanding of neural networks to different concepts of applying neural networks for ...
Andreas Habring, Martin Holler
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The geometrical meaning of the Kantorovich–Wielandt inequalities
Linear Algebra and its Applications, 1999 The main results of this paper are Theorem 1. For any symmetric positive definite matrix \(A\), \[ \cos\phi(A^2)= \sin\theta(A), \] where \(\phi(A)\) is the Gustafson operator angle and \(\theta(A)\) is the Kantorovich-Wielandt angle. Theorem 2. For any symmetric positive definite matrix \(A\), \[ \phi^2(A)+ \theta(A)={\pi\over 2}. \] Theorem 3. \(\cos\
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Mathematical analysis of a mesoscale model for multiphase membranes
GAMM-Mitteilungen, Volume 47, Issue 4, November 2024.Abstract In this article, we introduce a mesoscale continuum model for membranes made of two different types of amphiphilic lipids. The model extends work by Peletier and the second author (Arch. Ration. Mech. Anal. 193, 2009) for the one‐phase case.
Jakob Fuchs, Matthias Röger
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