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On Locally Chebyshev Sets
AbstractIt is proved that every connected boundedly compact locally Chebyshev set in a normed space is a Chebyshev set.
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Uniqueness of solutions in multivariate Chebyshev approximation problems
We study the solution set to multivariate Chebyshev approximation problem, focussing on the ill-posed case when the uniqueness of solutions can not...
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Chebyshev Methods and Fast DCT Algorithms
This chapter is concerned with Chebyshev methods and fast algorithms for the discrete cosine transform (DCT). Chebyshev methods are fundamental for...
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Fractional Chebyshev Kernel Functions: Theory and Application
Orthogonal functions have many useful properties and can be used for different purposes in machine learning. One of the main applications of the...
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Chebyshev Subspaces of Dirichlet Series
AbstractHaar and Kolmogorov found the necessary and sufficient conditions under which finite-dimensional subspaces in the space of continuous...
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Chebyshev Sets with Piecewise Continuous Metric Projection
AbstractWe study the properties of Chebyshev sets composed of at most countably many sets with a continuous metric projection. Local solarity is...
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On flexible block Chebyshev-Davidson method for solving symmetric generalized eigenvalue problems
In a recent work (J. Sci. Comput. 85 (2020), no. 3), the author generalized the Chebyshev-Davidson method appeared in standard eigenvalue problems to...
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Chebyshev Approximation of Multivariable Functions by a Logarithmic Expression
The method for constructing the Chebyshev approximation of multivariable functions by a logarithmic expression with an absolute error is proposed. It...
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Galerkin–Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds
A new numerical approximation method for a class of Gaussian random fields on compact connected oriented Riemannian manifolds is introduced. This...
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A Distributed Block Chebyshev-Davidson Algorithm for Parallel Spectral Clustering
We develop a distributed Block Chebyshev-Davidson algorithm to solve large-scale leading eigenvalue problems for spectral analysis in spectral...
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Shallow Moment Equations—Comparing Legendre and Chebyshev Basis Functions
Depth-averaged free surface flow models are widely used in geophysical applications. The classical shallow water system assumes a vertical plug flow...
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The Chebyshev center as an alternative to the analytic center in the feasibility pump
As a heuristic for obtaining feasible points of mixed integer linear problems, the feasibility pump (FP) generates two sequences of points: one of...
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Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method
We consider the inverse nodal problem for Sturm-Liouville (S-L) equation with frozen argument. Asymptotic behaviours of eigenfunctions, nodal...
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The solution of the time-space fractional diffusion equation based on the Chebyshev collocation method
In this paper, we consider the solution of the initial and boundary value problem for the time-space fractional diffusion equation in the sense of...
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Chebyshev polynomial-based Ritz method for thermal buckling and free vibration behaviors of metal foam beams
This study presents the Chebyshev polynomials-based Ritz method to examine the thermal buckling and free vibration characteristics of metal foam...
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Brauer and Geršgorin Locations of Zeros of Perturbed Chebyshev Polynomials of the Second Kind by Dilation
We consider some perturbations of Chebyshev polynomials of the second kind obtained by modifying by dilation one of its recurrence coefficients at an...
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Chebyshev Approximation of Multivariable Functions by a Constrained Rational Expression
The authors propose a method for constructing the Chebyshev approximation of multivariable functions by the rational expression with the...
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Chebyshev Approximation of a Multivariable Function with Reproducing the Values of the Function and Its Partial Derivatives
The method for constructing the Chebyshev approximation of a discrete multivariable function with reproducing the values of the function and its...
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Partial inverse maximum spanning tree problem under the Chebyshev norm
Given an edge weighted graph, and an acyclic edge set, the target of the partial inverse maximum spanning tree problem (PIMST) is to get a new weight...
