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Volume 33, Issue 4
Approximation by Nörlund Means of Hexagonal Fourier Series

Ali Guven

Anal. Theory Appl., 33 (2017), pp. 384-400.

Published online: 2017-11

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  • Abstract

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 $p=(p_k)^∞_{k=0}$.

  • AMS Subject Headings

41A25, 41A63, 42B08

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COPYRIGHT: © Global Science Press

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@Article{ATA-33-384, author = {Ali Guven}, title = {Approximation by Nörlund Means of Hexagonal Fourier Series}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {33}, number = {4}, pages = {384--400}, abstract = {

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} }
TY - JOUR T1 - Approximation by Nörlund Means of Hexagonal Fourier Series AU - Ali Guven JO - Analysis in Theory and Applications VL - 4 SP - 384 EP - 400 PY - 2017 DA - 2017/11 SN - 33 DO - http://doi.org/10.4208/ata.2017.v33.n4.8 UR - https://global-sci.org/intro/article_detail/ata/10705.html KW - Hexagonal Fourier series, Hölder class, Nörlund mean. AB -

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 $p=(p_k)^∞_{k=0}$.

Ali Guven. (2017). Approximation by Nörlund Means of Hexagonal Fourier Series. Analysis in Theory and Applications. 33 (4). 384-400. doi:10.4208/ata.2017.v33.n4.8
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