TY - JOUR T1 - On the Haar and Walsh Systems on a Triangle JO - Journal of Computational Mathematics VL - 3 SP - 223 EP - 232 PY - 1983 DA - 1983/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9698.html KW - AB -

In this paper we establish the Haar and Walsh systems on a triangle. These systems are complete in $L_2(\Delta)$. The uniform convergence of the Haar-Fourier series and the uniform convergence by group of the Walsh-Fourier series for any continuous function are proved.