@Article{CMR-25-2,
author = {Wang, Shuyun and Xuezhang, Liang and Yao, Fu and Xuenan, Sun},
title = {Convergence Properties of Generalized Fourier Series on a Parallel Hexagon Domain},
journal = {Communications in Mathematical Research },
year = {2009},
volume = {25},
number = {2},
pages = {104--114},
abstract = {<p style="text-align: justify;">A new Rogosinski-type kernel function is constructed using kernel function of partial
sums $S_n(f;t)$ of generalized Fourier series on a parallel hexagon domain $Ω$ associating with three-direction partition. We prove that an operator $W_n(f;t)$ with the new kernel function converges
uniformly to any continuous function $f(t) ∈ C_∗(Ω)$ (the space of all continuous functions with
period $Ω$) on $Ω$. Moreover, the convergence order of the operator is presented for the smooth
approached function.</p>},
issn = {2707-8523},
doi = {https://doi.org/2009-CMR-19300},
url = {https://global-sci.com/article/81937/convergence-properties-of-generalized-fourier-series-on-a-parallel-hexagon-domain}
}