Blending type approximation by \(GBS\) operators of bivariate tensor product of \(\lambda\)-Bernstein-Kantorovich type

DOI10.1186/s13660-018-1862-0zbMath1498.41024OpenAlexW2893144382WikidataQ58581257 ScholiaQ58581257MaRDI QIDQ824815

Qing-Bo Cai, Guorong Zhou

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1862-0

zbMATH Keywords

Bernstein-Kantorovich operatorsmixed modulus of smoothness\(B\)-continuous functions\(B\)-differentiable functions\(GBS\) operators

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Remainders in approximation formulas (41A80)

Related Items (8)

λ-Bernstein Operators Based on Pólya Distribution ⋮ The family of \(\lambda\)-Bernstein-Durrmeyer operators based on certain parameters ⋮ On the approximation by Stancu-type bivariate Jakimovski-Leviatan-Durrmeyer operators ⋮ Applications of Generalized Weighted Statistical Convergence to Approximation Theorems for Functions of One and Two Variables ⋮ Approximation properties of \(\lambda\)-Bernstein-Kantorovich-Stancu operators ⋮ A new kind of bi-variate \(\lambda\)-Bernstein-Kantorovich type operator with shifted knots and its associated GBS form ⋮ DEGREE OF APPROXIMATION FOR BIVARIATE SZASZ-KANTOROVICH TYPE BASED ON BRENKE TYPE POLYNOMIALS ⋮ Weighted statistical approximation properties of univariate and bivariate λ-Kantorovich operators

Cites Work

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• A test function theorem and apporoximation by pseudopolynomials
• On certain GBS-Durrmeyer operators based on $q$-integers
• Mehrdimensionale Differentiation von Funktionen mehrerer reeller Veränderlichen.

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