An Erdos-type convergence process in weighted interpolation.: I (Freud-type weights)

被引：10

作者：

Vértesi, P ^{[1
]}

机构：

[1] Alfred Renyi Math Inst, H-1364 Budapest, Hungary

来源：

ACTA MATHEMATICA HUNGARICA | 2001年 / 91卷 / 03期

关键词：

D O I：

10.1023/A:1010619206105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a convergent weighted interpolatory process corresponding to an old procedure of Erdos.

引用

页码：195 / 215

页数：21

共 27 条

[1] AN ERDŐS-TYPE CONVERGENCE PROCESS IN WEIGHTED INTERPOLATION. I, (FREUD-TYPE WEIGHTS)
P. Vértesi
[J]. Acta Mathematica Hungarica, 2001, 91 : 195 - 215
[2] An Erdos-type convergence process in weighted interpolation.: II (exponential weights on [-1, 1])
Szili, L
Vértesi, P
[J]. ACTA MATHEMATICA HUNGARICA, 2003, 98 (1-2) : 129 - 162
[3] On the Lebesgue Function of Weighted Lagrange Interpolation. I. (Freud-Type Weights)
P. Vértesi
[J]. Constructive Approximation, 1999, 15 : 355 - 367
[4] On the Lebesgue function of weighted Lagrange interpolation.: I.: (Freud-type weights)
Vértesi, P
[J]. CONSTRUCTIVE APPROXIMATION, 1999, 15 (03) : 355 - 367
[5] On summability of weighted Lagrange interpolation.: II (Freud-type weights)
Szili, L
Vértesi, P
[J]. ACTA MATHEMATICA HUNGARICA, 2004, 103 (1-2) : 1 - 17
[6] Some Erdos-type convergence processes in weighted interpolation
Szili, L
Vértesi, P
[J]. ADVANCED PROBLEMS IN CONSTRUCTIVE APPROXIMATION, 2003, 142 : 237 - 253
[7] Mean and uniform convergence of Lagrange interpolation with the Erdos-type weights
Jung, Hee Sun
Sakai, Ryozi
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[8] Interpolation Polynomials of Entire Functions for Erdos-Type Weights
Nakamura, Gou
Sakai, Ryozi
Suzuki, Noriaki
[J]. JOURNAL OF MATHEMATICS, 2013, 2013
[9] An Erdős type convergence process in weighted interpolation. II
L Szili
P. Vértesi
[J]. Acta Mathematica Hungarica, 2003, 98 : 129 - 162
[10] Orthonormal polynomials with generalized Freud-type weights
Kasuga, T
Sakai, R
[J]. JOURNAL OF APPROXIMATION THEORY, 2003, 121 (01) : 13 - 53

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