Results 1 to 10 of about 430 (52)
Comparative study on Fractional Isothermal Chemical Model
Alexandria Engineering Journal, 2021 This article investigates a family of approximate solutions for the fractional isothermal chemical (FIC) equation based on mass action kinetics for autocatalytic feedback, involving the conversion of a reactant in the Liouville-Caputo sense. We apply two
Khaled M. Saad
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Hyperbolic Tangent Like Relied Banach Space Valued Neural Network Multivariate Approximations
Annals of the West University of Timisoara: Mathematics and Computer Science, 2023 Here we examine the multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or ℝN , N ∈ ℕ, by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature type neural network ...
Anastassiou George A.
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Sigmoid functions for the smooth approximation to the absolute value function
Moroccan Journal of Pure and Applied Analysis, 2021 We present smooth approximations to the absolute value function |x| using sigmoid functions. In particular, x erf(x/μ) is proved to be a better smooth approximation for |x| than x tanh(x/μ) and x2+μ\sqrt {{x^2} + \mu } with respect to accuracy.
Bagul Yogesh J., Chesneau Christophe
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New fractional derivative with non-singular kernel for deriving Legendre spectral collocation method
Alexandria Engineering Journal, 2020 Fractional derivative models with an Abdon-Baleanu-Caputo (ABC) fractional derivative with a non-singular Mittag-Leffler kernel in the Liouville-Caputo (LC) sense are investigated using a spectral collocation method based on Legendre approximations. This
Khaled M. Saad
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Some identities on Bernstein polynomials associated with q-Euler polynomials [PDF]
, 2011 In this paper we investigate some properties for the q-Euler numbers ans polymials. From these properties we give some identities on the Bernstein polymials and q-Euler polynpmials.Comment: 8 ...
Bayad, Abdelmejid +3 more
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Open Mathematics, 2020 In Applied Mathematics Letters 74 (2017), 147–153, the Hyers-Ulam stability of the one-dimensional time-independent Schrödinger equation was investigated when the relevant system has a potential well of finite depth. As a continuous work,
Jung Soon-Mo, Choi Ginkyu
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Totally positive refinable functions with general dilation M [PDF]
, 2017 We construct a new class of approximating functions that are M-refinable and provide shape preserving approximations. The refinable functions in the class are smooth, compactly supported, centrally symmetric and totally positive.
GORI, Laura, PITOLLI, Francesca
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Lusin type theorems for Radon measures [PDF]
, 2016 We add to the literature the following observation. If $\mu$ is a singular measure on $\mathbb{R}^n$ which assigns measure zero to every porous set and $f:\mathbb{R}^n\rightarrow\mathbb{R}$ is a Lipschitz function which is non-differentiable $\mu$-a.e ...
Marchese, Andrea
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On kernel engineering via Paley–Wiener [PDF]
, 2010 A radial basis function approximation takes the form $$s(x)=\sum_{k=1}^na_k\phi(x-b_k),\quad x\in {\mathbb{R}}^d,$$ where the coefficients a 1,…,a n are real numbers, the centres b 1,…,b n are distinct points in ℝ d , and the function φ:ℝ d →ℝ is ...
B. J. C. Baxter +11 more
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Fast cubature of volume potentials over rectangular domains [PDF]
, 2013 In the present paper we study high-order cubature formulas for the computation of advection-diffusion potentials over boxes. By using the basis functions introduced in the theory of approximate approximations, the cubature of a potential is reduced to ...
Lanzara, Flavia +2 more
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