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 - <p style="text-align: justify;">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 $p=(p_k)^∞_{k=0}$.</p>