A representation for the integral kernel of the composition of multivariate Bernstein-Durrmeyer operators

2025/12/19 by Ulrich Abel, Abel, Ulrich, Ana Maria ACU +5
Computer Science · Mathematics · #41A36 #Advanced Algebra and Logic #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #Composition (language) #FOS: Mathematics #Holomorphic and Operator Theory #Kernel (algebra) #Kernel principal component analysis #Multivariate statistics #Representation (politics) #Simplex

paper · doi:10.48550/arxiv.2512.17297

openalex publication_date 2025/12/19 · openalex created_date 2025/12/23 · openalex updated_date 2026/07/28

Abstract

This paper presents a representation for the kernel of the composition of multivariate Bernstein-Durrmeyer operators for functions defined on the standard simplex in ℝ^d.

Citations

• Kernels for composition of positive linear operators

Related

• Kernels for composition of positive linear operators
• Composition and exponential of compactly supported generalized integral kernel operators
• Representation by Integrating Reproducing Kernels
• Integral operators in the spaces of functions of bounded Schramm variation
• Composition formulas of Bessel-Struve kernel function