Convergence of double Laguerre series

Chang Pao Chen; Chin Cheng Lin

doi:10.11650/twjm/1500407477

Convergence of double Laguerre series

Chang Pao Chen, Chin Cheng Lin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Let s_mn(x, y) denote the rectangular partial sums of the double Laguerre series with the coefficients {c_jk}. We give sufficient conditions on {c_jk} to obtain the regular convergence and weighted L^r-convergence of s_mn(x, y).

Original language	English
Pages (from-to)	533-544
Number of pages	12
Journal	Taiwanese Journal of Mathematics
Volume	6
Issue number	4
DOIs	https://doi.org/10.11650/twjm/1500407477
State	Published - Dec 2002

Keywords

Double Laguerre series
Mean convergence
Rectangular partial sums
Regular convergence

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title = "Convergence of double Laguerre series",

abstract = "Let smn(x, y) denote the rectangular partial sums of the double Laguerre series with the coefficients {cjk}. We give sufficient conditions on {cjk} to obtain the regular convergence and weighted Lr-convergence of smn(x, y).",

keywords = "Double Laguerre series, Mean convergence, Rectangular partial sums, Regular convergence",

author = "Chen, {Chang Pao} and Lin, {Chin Cheng}",

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AU - Chen, Chang Pao

AU - Lin, Chin Cheng

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N2 - Let smn(x, y) denote the rectangular partial sums of the double Laguerre series with the coefficients {cjk}. We give sufficient conditions on {cjk} to obtain the regular convergence and weighted Lr-convergence of smn(x, y).

AB - Let smn(x, y) denote the rectangular partial sums of the double Laguerre series with the coefficients {cjk}. We give sufficient conditions on {cjk} to obtain the regular convergence and weighted Lr-convergence of smn(x, y).

KW - Double Laguerre series

KW - Mean convergence

KW - Rectangular partial sums

KW - Regular convergence

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U2 - 10.11650/twjm/1500407477

DO - 10.11650/twjm/1500407477

M3 - 期刊論文

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VL - 6

SP - 533

EP - 544

JO - Taiwanese Journal of Mathematics

JF - Taiwanese Journal of Mathematics

IS - 4

ER -

Convergence of double Laguerre series

Abstract

Keywords

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