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# On A.E. Convergence of Multivariate Kantorovich Polynomials

Acta Mathematica Hungarica
Author: L. Szili
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# On the summability of weighted Lagrange interpolation on the roots of Jacobi polynomials

Acta Mathematica Hungarica
Author: L. Szili
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# An interpolation process on the roots of the integrated Legendre polynomials

Analysis Mathematica
Author: L. Szili
Пусть −1=х n,n<x n−1,n<...<x 1,n=1 корн и многочлена
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\Pi _n \left( x \right) = - \left( {n - 1} \right)n\mathop \smallint \limits_{ - 1}^x P_{n - 1} \left( t \right)dt,$$ \end{document}
гдеP n−1 — многочлен Леж андра степени (n−1) иx i,n *(i=1, 2, ...,n − 1) корни многочлен аΠ n′.
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# On the Summability of Trigonometric Interpolation Processes

Acta Mathematica Hungarica
Author: L. Szili
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# Теорема сходимости д ля метода Пала интерп оляции по корням многочленов Эрмита

Analysis Mathematica
Author: L. Szili
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# An Erdős type convergence process in weighted interpolation. II

Acta Mathematica Hungarica
Authors: L Szili and P. Vértesi

## Abstract

The aim of this paper is to continue the investigation of the second author started in , where a weighted version of a classical result of P. Erdős was proved using Freud type weights. We shall show that an analogous statement is true for weighted interpolation if we consider exponential weights on [-1,1].

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# On Uniform Convergence of Sequences of Certain Linear Operators

Acta Mathematica Hungarica
Authors: L. Szili and P. Vértesi
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# On weighted uniform Cesàro summability of Jacobi-Fourier series

Acta Mathematica Hungarica
Authors: L. Szili and F. Weisz

## Abstract

The aim of this paper is to give weighted function spaces in which the sequence of Cesàro means of the Jacobi-Fourier series are uniformly convergent. Error estimate for the approximation will also be considered.

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# Weighted (0,2)-interpolation on the roots of Jacobi polynomials

Acta Mathematica Hungarica
Authors: I. Joó and L. Szili
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# Sidon-type inequatities for Legendre polynomials

Acta Mathematica Hungarica
Authors: F. Schipp and L. Szili
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