Mixed K-functionals: A measure of smoothness for blending-type approximation

DOI10.1007/BF02570860zbMath0676.41022OpenAlexW2013480561MaRDI QIDQ1122725

Claudia Cottin

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183757

zbMATH Keywords

K-functionalsbivariate functionsuniform blending-type approximation

Mathematics Subject Classification ID

Harmonic analysis in several variables (42B99) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36) Best constants in approximation theory (41A44)

Related Items (19)

Blending type approximation by q‐generalized Boolean sum of Durrmeyer type ⋮ Degree of approximation for bivariate Chlodowsky-Szasz-Charlier type operators ⋮ GBS operators of Lupaş-Durrmeyer type based on Polya distribution ⋮ \(K\)-functionals and moduli of smoothness of functions defined on compact metric spaces ⋮ Unnamed Item ⋮ Mixed modulus of continuity in the Lebesgue spaces with Muckenhouptweights and their properties ⋮ Approximation of $B$-continuous and $B$-differentiable functions by GBS operators of $q$-Bernstein--Schurer--Stancu type ⋮ GBS operators of Bernstein-Schurer-Kantorovich type based on \(q\)-integers ⋮ Blending type approximation by GBS operators of generalized Bernstein-Durrmeyer type ⋮ Mixed modulus of smoothness with Muckenhoupt weights and approximation by angle ⋮ Fractional order mixed difference operator and its applications in angular approximation ⋮ Degree of approximation for bivariate generalized Bernstein type operators ⋮ Inverse approximation and GBS of bivariate Kantorovich type sampling series ⋮ Minimal Boolean sum and blending-type projections and extensions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A new kind of bi-variate \(\lambda\)-Bernstein-Kantorovich type operator with shifted knots and its associated GBS form ⋮ Quantitative estimates for GBS operators of Chlodowsky-Szász type ⋮ Directional \(K\)-functionals

Cites Work

• Degree of simultaneous approximation of bivariate functions by Gordon operators
• Jackson-type theorems on approximation by trigonometric and algebraic pseudopolynomials
• A test function theorem and apporoximation by pseudopolynomials
• Multidimensional Spline Approximation
• LACK OF INTERPOLATION OF LINEAR OPERATORS IN SPACES OF SMOOTH FUNCTIONS
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