The convergence rate of of multivariate operators on simplex in Orlicz space

2021/01/22 by Ma Wan, Ma, Wan, Lihong Chang +3
Mathematics · #41A35 #41A65 #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2101.08915

openalex publication_date 2021/01/22 · openalex created_date 2021/02/01 · openalex updated_date 2026/07/28

Abstract

The approximation of functions in Orlicz space by multivariate operators on simplex is considered. The convergence rate is given by using modulus of smoothness.

Related

• Rate of approximation for multivariate sampling Kantorovich operators on\n some functions spaces
• Approximation of associated GBS operators by Szasz-Mirakjan type operators
• Some approximation results in Musielak-Orlicz spaces
• Approximation of functions by linear summation methods in the Orlicz type spaces
• Convergence of the summation-integral type operators via statistically