Absence of localization of Fourier-Laplace series

2017 ◽  
Author(s):  
Ahmad Fadly Nurullah bin Rasedee ◽  
Abdumalik Rakhimov ◽  
Anvarjon A. Ahmedov ◽  
Norizarina Ishak ◽  
Siti Raihana Hamzah
Keyword(s):  
Laplace Series

scholarly journals On the Lebesgue constants of Fourier-Laplace series by Riesz Means

2017 ◽  
Vol 819 ◽  
pp. 012018
Author(s):  
Ahmad Fadly Nurullah bin Rasedee ◽  
Abdumalik A. Rakhimov ◽  
Anvarjon A. Ahmedov ◽  
Torla Bin Hj Hassan
Keyword(s):  
Lebesgue Constants ◽  
Riesz Means ◽  
Laplace Series

scholarly journals Convergence rate of Fourier–Laplace series of L2-functions

2004 ◽  
Vol 128 (2) ◽  
pp. 103-114 ◽  
Author(s):  
Chin-Cheng Lin ◽  
Kunyang Wang
Keyword(s):  
Convergence Rate ◽  
Laplace Series

Estimate for the decay rate of the general term of the laplace series for the geopotential

2011 ◽  
Vol 45 (1) ◽  
pp. 53-59 ◽  
Author(s):  
K. V. Kholshevnikov ◽  
V. Sh. Shaidulin
Keyword(s):  
Decay Rate ◽  
General Term ◽  
Laplace Series

scholarly journals Summation by Riesz means of the Fourier-Laplace series

Filomat ◽  
2018 ◽  
Vol 32 (3) ◽  
pp. 837-846
Author(s):  
Ahmad Rasedee ◽  
Abdumalik Rakhimov ◽  
Anvarjon Akhmedov
Keyword(s):  
Cesàro Means ◽  
Riesz Means ◽  
Cesaro Means ◽  
Laplace Series ◽  
Integrable Functions ◽  
Cesáro Means

In this work, weinvestigate conditions for summability of the Fourier-Laplace series of integrable functions by Riesz means. The kernel of Riesz means is estimated through comparison with the Cesaro means. Properties of D and D* points are required in obtaining this estimation.

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