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pro vyhledávání: '"41a35"'
A new Goodman-Sharma modification of the Baskakov operator is presented for approximation of bounded and continuous on $[0,\,\infty)$ functions. In our study on the approximation error of the proposed operator we prove direct and strong converse theo
Externí odkaz:
http://arxiv.org/abs/2412.04586
In many applications, random fields reflect uncertain parameters, and often their moments are part of the modeling process and thus well known. However, there are practical situations where this is simply not the case. Therefore, we do not assume tha
Externí odkaz:
http://arxiv.org/abs/2412.00027
Here we study the approximation properties of a modified Goodman-Sharma operator recently considered by Acu and Agrawal in 2019. This operator is linear but not positive. It has the advantage of a higher order of approximation of functions compared w
Externí odkaz:
http://arxiv.org/abs/2410.06908
In this paper, we introduce Mellin-Steklov exponential samplingoperators of order $r,r\in\mathbb{N}$, by considering appropriate Mellin-Steklov integrals. We investigate the approximation properties of these operators in continuousbounded spaces and
Externí odkaz:
http://arxiv.org/abs/2410.09070
In this article, we study the convergence behaviour of the classical generalized Max Product exponential sampling series in the weighted space of log-uniformly continuous and bounded functions. We derive basic convergence results for both the series
Externí odkaz:
http://arxiv.org/abs/2409.14884
Autor:
Bhat, Aaqib Ayoub, Khan, Asif
The primary objective of this study is to develop novel interpolation operators that interpolate the boundary values of a function defined on a triangle. This is accomplished by constructing New Generalized Boolean sum neural network operator $\mathc
Externí odkaz:
http://arxiv.org/abs/2410.02793
Autor:
Cubillos, Max, Jimenez, Edwin
This article presents novel numerical algorithms based on pseudodifferential operators for fast, direct, solution of the Helmholtz equation in 1D, 2D, and 3D inhomogeneous unbounded media. The proposed approach relies on an Operator Fourier Transform
Externí odkaz:
http://arxiv.org/abs/2407.09436
Autor:
Fabiani, Gianluca, Kevrekidis, Ioannis G., Siettos, Constantinos, Yannacopoulos, Athanasios N.
Publikováno v:
Journal of Computational Physics, 520, 113433 (2025)
Deep Operator Networks (DeepOnets) have revolutionized the domain of scientific machine learning for the solution of the inverse problem for dynamical systems. However, their implementation necessitates optimizing a high-dimensional space of paramete
Externí odkaz:
http://arxiv.org/abs/2406.05470
Consider a linear operator equation $x - Kx = f$, where $f$ is given and $K$ is a Fredholm integral operator with a Green's function type kernel defined on $C[0, 1]$. For $r \geq 0$, we employ the interpolatory projection at $2r + 1$ collocation poin
Externí odkaz:
http://arxiv.org/abs/2406.12343
Autor:
Gupta, Vijay, Anjali
Publikováno v:
Comp. Appl. Math. 44, 47 (2025)
The present study offers a general exponential operator connected with a^2+x^2; for positive real "a". We estimate the asymptotic formula for simultaneous and ordinary approximation of the constructed operator. In the last section, we graphically int
Externí odkaz:
http://arxiv.org/abs/2405.19772