On a generalization of Kantorovich operators on simplices and hypercubes

DOI10.1515/APAM.2010.024zbMath1202.41018MaRDI QIDQ4933463

Mirella Cappelletti Montano, Francesco Altomare, Vita Leonessa

Publication date: 13 October 2010

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

moduli of smoothnesspositive approximation processKantorovich operatorN-dimensional hypercubeN-dimensional simplex

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (5)

On a generalization of Szász-Mirakjan-Kantorovich operators ⋮ Elliptic differential operators and positive semigroups associated with generalized Kantorovich operators ⋮ On linear combinations of multivariate generalized sampling type series ⋮ Approximation of some Feller semigroups associated with a modification of Szász-Mirakjan-Kantorovich operators ⋮ A Sequence of Kantorovich-Type Operators on Mobile Intervals

Cites Work

• On a sequence of positive linear operators associated with a continuous selection of Borel measures
• Multivariate \(L_ p\)-error estimates for positive linear operators via the first-order \(\tau\)-modulus
• Converse theorems for multidimensional Kantorovich operators

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