Anal. Theory Appl., 33 (2017), pp. 384-400.
Published online: 2017-11
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Let $f$ be an $H$−periodic Hölder continuous function of two real variables. The error $||f −N_n(p;f)||$ is estimated in the uniform norm and in the Hölder norm, where $p=(p_k)^∞_{k=0}$ is a nonincreasing sequence of positive numbers and $N_n(p; f)$ is the $n\rm{th}$ Nörlund mean of hexagonal Fourier series of $f$ with respect to $p=(p_k)^∞_{k=0}$.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2017.v33.n4.8}, url = {http://global-sci.org/intro/article_detail/ata/10705.html} }Let $f$ be an $H$−periodic Hölder continuous function of two real variables. The error $||f −N_n(p;f)||$ is estimated in the uniform norm and in the Hölder norm, where $p=(p_k)^∞_{k=0}$ is a nonincreasing sequence of positive numbers and $N_n(p; f)$ is the $n\rm{th}$ Nörlund mean of hexagonal Fourier series of $f$ with respect to $p=(p_k)^∞_{k=0}$.