q-generalized Bernstein-Durrmeyer polynomials

DOI10.7153/jmi-2020-14-15zbMath1439.41001OpenAlexW3011205418MaRDI QIDQ5109757

Ana-Maria Acu, Purshottam N. Agrawal, Ruchi Ruchi

Publication date: 13 May 2020

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2020-14-15

zbMATH Keywords

mixed modulus of smoothnessPeetre's K-functionalLipschitz classBögel continuousBögel differentiablegeneralized Boolean sum

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Uses Software

• Matlab

Cites Work

• Degree of approximation for bivariate Chlodowsky-Szasz-Charlier type operators
• New estimates for the differences of positive linear operators
• Approximation of functions by a new family of generalized Bernstein operators
• A global inverse theorem on simultaneous approximation by Bernstein- Durrmeyer operators
• Approximation of Baskakov type Pólya-Durrmeyer operators
• Blending type approximation by GBS operators of generalized Bernstein-Durrmeyer type
• Some approximation properties of \(q\)-Durrmeyer operators
• A test function theorem and apporoximation by pseudopolynomials
• GBS operators of bivariate Bernstein‐Durrmeyer–type on a triangle
• Über mehrdimensionale Differentiation, Integration und beschränkte Variation.
• Some approximation properties of a Durrmeyer variant of q‐Bernstein–Schurer operators
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