Year: 2017
Analysis in Theory and Applications, Vol. 33 (2017), Iss. 4 : pp. 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 $p=(p_k)^∞_{k=0}$.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2017.v33.n4.8
Analysis in Theory and Applications, Vol. 33 (2017), Iss. 4 : pp. 384–400
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Hexagonal Fourier series Hölder class Nörlund mean.
-
Approximation by matrix means on hexagonal domains in the generalized Hölder metric
Aslan, Hatice
Filomat, Vol. 37 (2023), Iss. 4 P.1291
https://doi.org/10.2298/FIL2304291A [Citations: 1] -
Approximation on the regular hexagon
Guven, Ali
Journal of Numerical Analysis and Approximation Theory, Vol. 49 (2020), Iss. 2 P.138
https://doi.org/10.33993/jnaat492-1229 [Citations: 0] -
Approximation of continuous functions on hexagonal domains
Guven, Ali
Journal of Numerical Analysis and Approximation Theory, Vol. 47 (2018), Iss. 1 P.42
https://doi.org/10.33993/jnaat471-1128 [Citations: 0]