Results 61 to 70 of about 7,376 (127)
ψ‐Bernstein–Kantorovich operators
Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 1124-1141, 15 January 2025.In this article, we introduce a modified class of Bernstein–Kantorovich operators depending on an integrable function ψα$$ {\psi}_{\alpha } $$ and investigate their approximation properties. By choosing an appropriate function ψα$$ {\psi}_{\alpha } $$, the order of approximation of our operators to a function f$$ f $$ is at least as good as the ...
Hüseyin Aktuğlu +2 more
wiley +1 more source
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
wiley +1 more source
Diffusion limited mixing rates in passive scalar advection
, 2020 We are concerned with flow enhanced mixing of passive scalars in the presence of diffusion. Under the assumption that the velocity gradient is suitably integrable, we provide upper bounds on the exponential rates of mixing and of enhanced dissipation ...
Seis, Christian
core
Operator inequalities associated with Hölder–McCarthy and Kantorovich inequalities
Journal of Inequalities and Applications, 1998 We discuss operator inequalities associated with Hölder–McCarthy and Kantorovich inequalities. We give a complementary inequality of Hölder–McCarthy one as an extension of [2] and also we give an application to the order preserving
Furuta Takayuki
doaj
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
wiley +1 more source
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
wiley +1 more source
The efficiency factorization multiplier for the Watson efficiency in partitioned linear models: some examples and a literature review [PDF]
, 2005 We consider partitioned linear models where the model matrix X = (X1 : X2) has full column rank, and concentrate on the special case whereX0 1X2 = 0 when we say that the model is orthogonally partitioned.
Chu, Ka Lok +3 more
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Applications of the poincaré inequality to extended Kantorovich method
Journal of Inequalities and Applications, 2006 We apply the Poincaré inequality to study the extended Kantorovich method that was used to construct a closed-form solution for two coupled partial differential equations with mixed boundary conditions.
Nguyen Tristan +3 more
doaj
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
wiley +1 more source
Improved Young and Heinz inequalities with the Kantorovich constant
, 2015 In this article, we study the further refinements and reverses of the Young and Heinz inequalities with the Kantorovich constant. These modified inequalities are used to establish corresponding operator inequalities on Hilbert space and Hilbert-Schmidt ...
Liao, Wenshi, Wu, Junliang
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