On Approximation of Hexagonal Fourier Series

Ali Guven


Let the function f belongs to the Hölder class H^{α}(Ω), 0<α≤1, where Ω is the spectral set of the hexagon lattice in the Euclidean plane. Also, let p=(p_{n}) and q=(q_{n}) be two sequences of non-negative real numbers such that p_{n}<q_{n} and q_{n}→∞ as n→∞. The order of approximation of f by deferred Cesàro means D_{n}(p,q;f) of its hexagonal Fourier series is estimated in the uniform and Hölder norms.


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