Approximation of Baskakov type Pólya-Durrmeyer operators

DOI10.1016/J.AMC.2016.09.012zbMath1411.41014OpenAlexW2528241814MaRDI QIDQ1734326

Vijay Gupta, Daniel Florin Sofonea, Ana-Maria Acu

Publication date: 27 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.09.012

zbMATH Keywords

modulus of continuityVoronovskaja-type theoremBaskakov operatorsStancu operatorsPólya-Eggenberger distribution

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Rate of convergence, degree of approximation (41A25) Simultaneous approximation (41A28)

Related Items (18)

Convergence properties of certain positive linear operators ⋮ Approximation by Stancu-Durrmeyer type operators based on Pólya-Eggenberger distribution ⋮ Construction of the Kantorovich variant of the Bernstein-Chlodovsky operators based on parameter α ⋮ On Kantorovich variant based on inverse Pólya-Eggenberger distribution ⋮ q-generalized Bernstein-Durrmeyer polynomials ⋮ The Bézier variant of Lupas Kantorovich operators based on Polya distribution ⋮ Unnamed Item ⋮ On the rate of convergence of two generalized Bernstein type operators ⋮ A new kind of variant of the Kantorovich type modification operators introduced by D. D. Stancu ⋮ The Kantorovich variant of an operator defined by D. D. Stancu ⋮ GENERALIZED BERNSTEIN-KANTOROVICH OPERATORS OF BLENDING TYPE ⋮ Approximation by modified \(U^{\rho }_n\) operators ⋮ Baskakov operators and Jacobi weights: pointwise estimates ⋮ On new exponential-type operators ⋮ Generalized Bernstein-Durrmeyer operators of blending type ⋮ Durrmeyer variant of Apostol-Genocchi-Baskakov operators ⋮ Generalized Durrmeyer operators based on inverse Pólya-Eggenberger distribution ⋮ Approximation by mixed positive linear operators based on second-kind beta transform

Uses Software

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Cites Work

• Generalized Baskakov-Szász type operators
• New estimates for the differences of positive linear operators
• Faster rate of convergence on Srivastava-Gupta operators
• Stancu-Kantorovich operators based on inverse Pólya-Eggenberger distribution
• Approximation properties of Bezier-summation-integral type operators based on Polya-Bernstein functions
• Asymptotic formulas for generalized Szász-Mirakyan operators
• Jain-Durrmeyer operators associated with the inverse Pólya-Eggenberger distribution
• Approximation by modified Szász-Durrmeyer operators
• Rate of convergence of generalized rational type Baskakov operators
• Better approximation results by Bernstein-Kantorovich operators
• Rate of convergence for generalized Szász operators
• Convergence Estimates in Approximation Theory
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