Results 81 to 90 of about 1,058,862 (209)

Asymptotic Dynamics of Generalized Kantorovich Operators

Results in Mathematics
Abstract We characterize the family of continuous functions $$f\in C([0,1])$$ f ∈ C ( [ 0 , 1 ]
Krzysztof Bartoszek, Wojciech Bartoszek
openaire   +4 more sources

Advanced 3D Microstructure Generation of Solid Oxide Cell Electrodes Using Conditional Generative Adversarial Network and Validation Using Nonintuitive Topological Characteristics

Advanced Intelligent Discovery, Volume 1, Issue 2, August 2025.
Solid oxide cells (SOCs) are promising for energy utilization and require optimized electrode microstructures. This study develops a generative adversarial network (GAN)‐based model to generate artificial SOC electrode microstructures, controlling volume fraction and specific surface area.
Sojiro Yamatoko, Masashi Kishimoto, Szymon Buchaniec, Yuting Guo, Hiroshi Iwai   +4 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
core  

A New Class of Kantorovich-Type Operators

Constructive Mathematical Analysis, 2020
The purpose of the paper called “A new class of Kantorovich-type operators”, as the title says, is to introduce a new class of Kantorovich-type operators with the property that the test functions $e_1$ and $e_2$ are reproduced. Furthermore, in our approach, an asymptotic type convergence theorem, a Voronovskaja type theorem and two error ...
Adrian Indrea, Anamaria Indrea, Ovıdıu T. Pop   +2 more
openaire   +3 more sources

Multivariate Neural Network Operators: Simultaneous Approximation and Voronovskaja‐Type Theorem

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10669-10677, 30 July 2025.
ABSTRACT In this paper, the simultaneous approximation and a Voronoskaja‐type theorem for the multivariate neural network operators of the Kantorovich type have been proved. In order to establish such results, a suitable multivariate Strang–Fix type condition has been assumed.
Marco Cantarini, Danilo Costarelli
wiley   +1 more source

Examining Entropic Unbalanced Optimal Transport and Sinkhorn Divergences for Spatial Forecast Verification

Meteorological Applications, Volume 32, Issue 4, July/August 2025.
This exploratory study establishes the unbalanced Sinkhorn divergence as a robust spatial forecast verification metric for precipitation data. It has illustrative transport vectors which highlight regions where a feature is missing and is shown to align with expert assessments amongst other favourable characteristics with few limitations.
Jacob J. M. Francis, Colin J. Cotter, Marion P. Mittermaier   +2 more
wiley   +1 more source

Approximation Theorems for Complex $$\alpha $$ α -Bernstein–Kantorovich Operators

Results in Mathematics
In this paper, we introduce the complex form of $$\alpha $$ α -Bernstein–Kantorovich operators. Respectively, upper quantitative estimates for the complex $$\alpha $$ α -Bernstein–Kantorovich operator and its derivatives, Voronovskaya type result and the
M. Kara, N. Mahmudov
semanticscholar   +1 more source

Bivaraiate Generalized Baskakov Kantorovich Operators

, 2015
This paper is in continuation of our work in \cite{PNM}, wherein we introduced generalized Baskakov Kantorovich operators $K_n^a(f;x)$ and established some approximation properties e.g. local approximation, weighted approximation, simultaneous approximation and $A-$statistical convergence. Also, we discussed the rate of convergence for functions having
Goyal, Meenu, Agrawal, P. N.
openaire   +2 more sources

Interpolation for neural-network operators activated with a generalized logistic-type function

Journal of Inequalities and Applications
This paper defines a family of neural-network interpolation operators. The first derivative of generalized logistic-type functions is considered as a density function.
Hande Uyan, Abdullah Ozan Aslan, Seda Karateke, İbrahim Büyükyazıcı   +3 more
doaj   +1 more source

Generalized Kantorovich operators

General Mathematics
Abstract In this paper we will propose a class of generalized Kantorovich type operators constructed using a general differential operator with non-constant coefficients
openaire   +1 more source