Voronovskaja theorem for simultaneous approximation by Bernstein operators on a simplex

DOI10.1007/s00009-014-0448-4zbMath1321.41039OpenAlexW1976312783MaRDI QIDQ493322

Gabriel Stan, Radu Păltănea

Publication date: 3 September 2015

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-014-0448-4

zbMATH Keywords

simultaneous approximationKantorovich type operatorsBernstein operator on a simplexVoronoskaja theorem

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10) Simultaneous approximation (41A28) Approximation by positive operators (41A36)

Cites Work

• On linear combinations of multivariate generalized sampling type series
• On the convergence of derivatives of Bernstein approximation
• General Voronovskaya and asymptotic theorems in simultaneous approximation
• Approximation by means of nonlinear Kantorovich sampling type operators in Orlicz spaces
• Kantorovich Operators of Order k
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