On Weighted Pál Type (0,2)-interpolation on the Unit Circle
jnanabha, 2021 In this paper, we study the explicit representation of weighted Pál-type (0,2)-interpolation on two pairwise disjoint sets of nodes on the unit circle, which are obtained by projecting vertically the zeros of (1−x2)Pn(x) and Pn′′(x) respectively, where
Swarnima Bahadur, Sariya Bano
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Application of polynomial tensor interpolation for technical tests
Journal of Applied Mathematics and Computational Mechanics, 2021 The main aim of this paper is a new formula of tensor interpolation by the polynomial of two variables. The formulas for interpolating polynomial coefficients are obtained using the Kronecker tensor product of matrices.
Anita Ciekot, G. Biernat, T. Frączek
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Iterates of q-Bernstein operators on triangular domain with all curved sides
Demonstratio Mathematica, 2022 In this article, Phillips-type Bernstein operators (ℬm,qtF)(t,s)({{\mathcal{ {\mathcal B} }}}_{m,q}^{t}F)\left(t,s) and (ℬn,qsF)(t,s)({{\mathcal{ {\mathcal B} }}}_{n,q}^{s}F)\left(t,s), their products, and Boolean sum based on q-integer have been studied
Iliyas Mohammad +4 more
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About a dubious proof of a correct result about closed Newton Cotes error formulas
Open Mathematics, 2023 In this study, we comment about a wrong proof, at least incomplete, of the closed Newton Cotes error formulas for integration in a closed interval [a,b].\left[a,b].
López David J. +4 more
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Facial expression video generation based-on spatio-temporal convolutional GAN: FEV-GAN
Intelligent Systems with Applications, 2022 Facial expression generation has always been an intriguing task for scientists and researchers all over the globe. In this context, we present our novel approach for generating videos of the six basic facial expressions.
Hamza Bouzid, Lahoucine Ballihi
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A note on a paper of Harris concerning the asymptotic approximation to the eigenvalues of -y'' + qy = λy, with boundary conditions of general form [PDF]
Boundary Value Problems, 2012 In this article, we derive an asymptotic approximation to the eigenvalues of the linear differential equation -y″(x)+q(x)y(x)=λy(x),x∈(a,b) with boundary conditions of general form, when q is a measurable function which has a singularity in (a, b) and ...
M. Hormozi
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Empirical mode decomposition with shape-preserving spline interpolation
Results in Applied Mathematics, 2020 Empirical mode decomposition (EMD) is a popular, novel, user-friendly algorithm to decompose a given signal into its constituting components, utilizing spline interpolation.
Maria D. van der Walt
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An Extension of the Floater-Hormann Family of Barycentric Rational Interpolants
Mathematics of Computation, 2013 The barycentric rational interpolants introduced by Floater and Hormann in 2007 are “blends” of polynomial interpolants of fixed degree d. In some cases these rational functions achieve approximation of much higher quality than the classical polynomial ...
Georges Klein
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Mean and uniform convergence of Lagrange interpolation with the Erdős-type weights
Journal of Inequalities and Applications, 2012 Let R=(−∞,∞), and let Q∈C1(R):R→R+:=[0,∞) be an even function. We consider the exponential-type weights w(x)=e−Q(x), x∈R. In this paper, we obtain a mean and uniform convergence theorem for the Lagrange interpolation polynomials Ln(f) in Lp ...
Hee-Sun Jung, R. Sakai
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Laguerre and Hermite Collocation Methods for Unbounded Domains
East Asian Journal on Applied Mathematics, 2018 We discuss spectral collocation methods based on Jacobi-Gauss-Lobatto points and Laguerre and Hermite collocation for unbounded domains. These methods are well conditioned, and some numerical experiments demonstrate quite high accuracy.
Chao Zhang
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