Results 91 to 100 of about 22,208 (203)
ECG Classification With Event-Driven Sampling
IEEE AccessElectrocardiogram (ECG) data’s high dimensionality challenges real-time arrhythmia classification. Our approach employs functional approximation to condense ECG recordings into a compact feature set for simpler classification using Chebyshev ...
Maryam Saeed +5 more
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Numerical solution of scattering problems using a Riemann--Hilbert formulation [PDF]
, 2019 A fast and accurate numerical method for the solution of scalar and matrix Wiener--Hopf problems is presented. The Wiener--Hopf problems are formulated as Riemann--Hilbert problems on the real line, and a numerical approach developed for these problems ...
Luca, Elena, Smith, Stefan G. Llewellyn
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Chebyshev approximation for multivariate functions
, 2015 In this paper, we derive optimality conditions (Chebyshev approximation) for multivariate functions. The theory of Chebyshev (uniform) approximation for univariate functions is very elegant. The optimality conditions are based on the notion of alternance (maximal deviation points with alternating deviation signs).
Sukhorukova, Nadezda +2 more
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Trends in Computational and Applied Mathematics, 2019 In this work we consider the general functional-integral equation: \begin{equation*}y(t) = f\left(t, \int_{a}^{b} k(t,s)g(s,y(s))ds\right), \qquad t\in [a,b],\end{equation*}and give conditions that guarantee existence and uniqueness of solution in $L^p([
Suzete M Afonso +3 more
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Product integration rules for Chebyshev weight functions with Chebyshev abscissae
Journal of Computational and Applied Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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AlgorithmsThis article proposes single-layer neural network algorithms for solving second-order ordinary differential equations, based on the principles of functional connection.
Roman Parovik
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On some Chebyshev type inequalities for the complex integral
Revista Integración, 2019 Assume that f and g are continuous on γ, γ ⊂ C is a piecewise smooth path parametrized by z (t) , t ∈ [a, b] from z (a) = u to z (b) = w with w 6= u, and the complex Chebyshev functional is defined ...
Silvestru Sever Dragomir
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Chebyshev–Jensen-Type Inequalities Involving χ-Products and Their Applications in Probability Theory
MathematicsBy means of the functional analysis theory, reorder method, mathematical induction and the dimension reduction method, the Chebyshev-Jensen-type inequalities involving the χ-products ⟨·⟩χ and [·]χ are established, and we proved that our main results are ...
Ru Liu, Jiajin Wen, Lingzhi Zhao
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Approximation of Analytic Functions by Universal Vallee-Poussin Sums on the Chebyshev Polynomials
Известия Иркутского государственного университета: Серия "Математика", 2018 As it is known, Chebyshev polynomials provide the best uniform approach of a function. They are a special case of Faber polynomials. A. I. Shvay (1973) proved that the Vallee-Poussin sums are the best approach apparatus in comparison with the partial ...
L.K. Dodunova, A.A. Ageikin
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Rational Chebyshev approximations for the error function [PDF]
Mathematics of Computation, 1969 This note presents nearly-best rational approximations for the functions erf ( x ) (x) and erfc ( x ) (x) , with maximal relative errors ranging down to between 6 × 10 − 19
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