Preservation properties of the Baskakov-Kantorovich operators

DOI10.1016/j.camwa.2009.01.027zbMath1186.41018OpenAlexW2091259332MaRDI QIDQ971652

Chungou Zhang, Zhihui Zhu

Publication date: 16 May 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.01.027

zbMATH Keywords

mathematical expectationBaskakov operatorspreservation propertyBaskakov-Kantorovich operators

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

Related Items (17)

Approximation by some Baskakov-Kantorovich exponential-type operators ⋮ Improved rate of approximation by modification of Baskakov operator ⋮ Bézier variant of the generalized Baskakov Kantorovich operators ⋮ Estimate for the difference of operators having different basis functions ⋮ Unnamed Item ⋮ On the q-analogues for some Kantorovich type linear operators ⋮ A note on \(\alpha\)-Baskakov-Durrmeyer-type operators ⋮ Better approximation by a Durrmeyer variant of \(\alpha-\) Baskakov operators ⋮ Integral Baskakov type operator with quadratic order of approximation ⋮ On wavelets Kantorovich \((p,q)\)-Baskakov operators and approximation properties ⋮ Higher order Lupaş-Kantorovich operators and finite differences ⋮ Quantitative estimates for differences of Baskakov-type operators ⋮ Some estimations of summation-integral-type operators ⋮ Equivalent theorem of approximation by linear combination of weighted Baskakov-Kantorovich operators in Orlicz spaces ⋮ On preservation of binomial operators ⋮ Approximation by multivariate Baskakov-Kantorovich operators in Orlicz spaces ⋮ Generalized Baskakov Kantorovich operators

Cites Work

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• Saturation of Kantorovich type operators
• An interpolation theorem and its applications to positive operators
• Best constants in preservation inequalities concerning the first modulus and Lipschitz classes for Bernstein-type operators
• Shape preserving properties of some positive linear operators on unbounded intervals
• On the monotonicity of positive linear operators
• Functions with convex means
• Some function classes related to the class of convex functions
• AN ESTIMATE OF THE RATE OF CONVERGENCE OF A BÉZIER VARIANT OF THE BASKAKOV-KANTOROVICH OPERATORS FOR BOUNDED VARIATION FUNCTIONS
• On certain best constants for Bernstein-type operators

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