Yilmaz, B.Bascanbaz-Tunca, G.Aral, A.2020-06-252020-06-252013Yilmaz, B., Başcanbaz Tunca, G., & Aral, A., (2013). Remark On Weighted Approximation Properties Of Generalized Picard Operators. Miskolc Mathematical Notes , 14(3), 1091-1103.1787-24051787-2413https://doi.org/10.18514/MMN.2013.574https://hdl.handle.net/20.500.12587/5597Bascanbaz-Tunca, Gulen/0000-0003-3216-1661In this article, we still hold the study of the generalized Picard operators P-lambda,P-beta (f; q) depending on nonisotropic beta-distance given in [3]. By continuing to deal with the nonisotropic weighted L-p,L-beta (R-n) space defined in [17], we introduce a new weighted L-p,L-beta modulus of continuity depending on the nonisotropic distance to obtain the weighted rate of convergence. We show that weighted convergence rate of P-lambda,P-beta (f; q) to f can be made better not only depending on the chosen q but also the choice of beta. We get that P-lambda,P-beta (f; q) satisfy the global smoothness preservation property via weighted L-p,L-beta modulus of continuity. Also we give direct approximation property of the generalized Picard operators P-lambda,P-beta (f; q) with respect to nonisotropic weighted norm.eninfo:eu-repo/semantics/openAccessgeneralized Picard singular integral nonisotropic distanceLebesgue pointArticle1431091110310.18514/MMN.2013.5742-s2.0-84892459553Q2WOS:000338514500032Q4