Convergence in distribution of the Bernstein-Durrmeyer kernel and pointwise convergence of a generalised operator for functions of bounded variation

DOI10.1016/j.jat.2024.106086MaRDI QIDQ6632946

Mohammed Taariq Mowzer

Publication date: 5 November 2024

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

Bernstein-type operatorsbeta distributionpositive linear operators

Mathematics Subject Classification ID

Harmonic analysis on Euclidean spaces (42-XX) Approximations and expansions (41-XX)

Cites Work

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• Bernstein-Durrmeyer operators with respect to arbitrary measure. II: Pointwise convergence
• Multivariate Bernstein-Durrmeyer operators with arbitrary weight functions
• On the rate of convergence of the Durrmeyer operator for functions of bounded variation
• Démonstration du théorème de \textit{Weierstraß}, fondée sur le calcul des probabilités.
• Bernstein-Durrmeyer operators
• Probability and Stochastics
• A Useful Convergence Theorem for Probability Distributions
• The Bernstein Polynomials for Discontinuous Functions

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