Extension of some Cheney-Sharma type operators to a triangle with one\n curved side

2018/09/21 by Teodora Cătinaş, Catinas, Teodora
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic and Geometric Analysis #FOS: Mathematics #Holomorphic and Operator Theory #Mathematics and Applications #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1809.08069

openalex publication_date 2018/09/21 · openalex created_date 2022/08/03 · openalex updated_date 2026/07/28

Abstract

We extend some Cheney-Sharma type operators to a triangle with one curved\nside. We construct their product and Boolean sum, we study their interpolation\nproperties, the orders of accuracy and we give different expressions of the\ncorresponding remainders. We also give some illustrative examples.\n

Citations

• Optimal Finite-Element Interpolation on Curved Domains

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