Best constants in global smoothness preservation inequalities for some multivariate operators

DOI10.1006/JATH.1997.3252zbMath0920.41011OpenAlexW1982677829MaRDI QIDQ1288271

Ana M. Valle, Jesús De La Cal

Publication date: 23 September 1999

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

Full work available at URL: https://doi.org/10.1006/jath.1997.3252

zbMATH Keywords

Bernstein operatorstochastic processpositive operatorsmodules of continuity

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Approximation by positive operators (41A36)

Related Items (6)

Best constants for tensor products of Bernstein, Szász and Baskakov operators ⋮ Best constants for tensor products of Bernstein type operators ⋮ On a Chlodovsky variant of a multivariate beta operator ⋮ On certain best constants for Bernstein-type operators ⋮ Lototsky-Schnabl operators on the unit interval ⋮ A generalization of Bernstein-Kantorovič operators

Cites Work

• Lipschitz constants for some approximation operators of a Lipschitz continuous function
• On multivariate approximation by Bernstein-type polynomials
• A class of Wasserstein metrics for probability distributions
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• Best constants in preservation inequalities concerning the first modulus and Lipschitz classes for Bernstein-type operators
• On the property of monotonic convergence for multivariate Bernstein-type operators
• Optimal Poisson approximation of uniform empirical processes
• GLOBAL SMOOTHNESS OF APPROXIMATING FUNCTIONS
• Extended and multivariate Tukey lambda distributions
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