doi:10.1016/j.cam.2023.115184engDelgado, J.Orera, H.Peña, J.M.An evaluation algorithm for q-Bézier triangular patches formed by convex combinationsART-2023-132947An extension to triangular domains of the univariate q-Bernstein basis functions is introduced and analysed. Some recurrence relations and properties such as partition of unity and degree elevation are proved for them. It is also proved that they form a basis for the space of polynomials of total degree less than or equal to n on a triangle. In addition, it is presented a de Casteljau type evaluation algorithm whose steps are all linear convex combinations.2023http://zaguan.unizar.es/record/13020710.1016/j.cam.2023.115184http://zaguan.unizar.es/record/130207oai:zaguan.unizar.es:130207info:eu-repo/grantAgreement/ES/DGA/E41-20Rinfo:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00Journal of Computational and Applied Mathematics 428 (2023), 115184 [11 pp.]by-nc-ndhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccess