Double Walsh Series with Coefficients of Bounded Variation
Ferenc Móricz
University of Szeged, Hungary
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Abstract
Convergence properties of double Walsh series are studied whose coefficients form a null sequence of bounded variation. These series converge regularly at all points of (0, 1) x (0, 1) and converge in the pseudometric of for all . Sufficient conditions for convergence are also proved which involve the second-order differences of the coefficients.
Cite this article
Ferenc Móricz, Double Walsh Series with Coefficients of Bounded Variation. Z. Anal. Anwend. 10 (1991), no. 1, pp. 3–10
DOI 10.4171/ZAA/426