Equivalence theorem on weighted simultaneous \(L_ p\)-approximation by the method of Kantorovič operators

DOI10.1006/jath.1994.1082zbMath0810.41025OpenAlexW2042859361MaRDI QIDQ1335030

Detlef H. Mache

Publication date: 27 September 1994

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

Full work available at URL: https://doi.org/10.1006/jath.1994.1082

zbMATH Keywords

simultaneous approximationKantorovich operatorsaturation class

Mathematics Subject Classification ID

Simultaneous approximation (41A28) Approximation by positive operators (41A36)

Related Items (8)

Weighted \(L_ p\)-approximation of derivatives by the method of gammaoperators ⋮ \(L^p\) approximation strategy by positive linear operators ⋮ Strong estimates of the weighted simultaneous approximation by the Bernstein and Kantorovich operators and their iterated Boolean sums ⋮ Approximation by \(B\)-spline convolution operators. A probabilistic approach ⋮ Preservation properties by Bernstein-type operators. A probabilistic approach ⋮ Linear combinations of gammaoperators in \(L_p\) -- spaces ⋮ The characterization of the derivatives for linear combinations of Post-Widder operators in \(L_p\) ⋮ A generalization of Bernstein-Kantorovič operators

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