Weighted approximation via Θ-summations of Fourier-Jacobi series Page 1 Studia
Scientiarum Mathematicarum Hungarica 47 (2), 139 154 (2010) DOI: 10.1556/SScMath.2009.1121 …

Starting from the Lagrange interpolation on the roots of Jacobi polynomials, a wide class of
discrete linear processes is constructed using summations. Some special cases are also …

The paper is related to the lower and upper estimates of the norm for Mercer kernel matrices.
We first give a presentation of the Lagrange interpolating operators from the view of …

Starting from discrete Fourier series we construct approximation processes on the roots of
four kinds of Chebyshev polynomials generated by suitable summation functions ϕ. We …

In the present paper, we provide an error bound for the learning rates of the regularized
Shannon sampling learning scheme when the hypothesis space is a reproducing kernel …

The aim of this paper is to continue our investigations started in [15], where we studied the
summability of weighted Lagrange interpolation on the roots of orthogonal polynomials with …

ON WEIGHTED UNIFORM CES`ARO SUMMABILITY OF JACOBI–FOURIER SERIES Page 1
Acta Math. Hungar., 127 (1–2) (2010), 112–138. DOI: 10.1007/s10474-009-9101-2 First …

It is known that for every set of interpolation nodes, there exists a continuous function for
which the sequence of Lagrange interpolation polynomials is not uniformly convergent. In …

The focus of our work is the uniform convergence of different de la Vallée Poussin type
summations. We encounter this topic in theories of classical and multivariate trigonometric …

This talk is devoted to the study of some discrete processes on the roots of four kinds of
Chebyshev polynomials. Starting from the Lagrange interpolation polynomials we shall …