Quantitative convergence results for a family of hybrid operators

DOI10.1016/j.amc.2015.08.122zbMath1410.41013OpenAlexW2253961614MaRDI QIDQ1732253

Meenu Goyal, Vijay Gupta, Purshottam N. Agrawal

Publication date: 22 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.2015.08.122

zbMATH Keywords

rate of convergencemodulus of continuitystatistical convergenceasymptotic formulaBaskakov-Szász operators

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) Approximation by positive operators (41A36) Ideal and statistical convergence (40A35)

Related Items

Blending type approximation by \(\tau\)-Baskakov-Durrmeyer type hybrid operators ⋮ Blending-type approximation by generalized Lupaş-type operators ⋮ Unnamed Item ⋮ Jakimovski-Leviatan operators of Durrmeyer type involving Appell polynomials ⋮ Quantitative Voronovskaya- and Grüss–Voronovskaya-type theorems by the blending variant of Szász operators including Brenke-type polynomials ⋮ Blending-type approximation by generalized Lupaş-Durrmeyer-type operators ⋮ Szász type operators involving Charlier polynomials of blending type ⋮ Generalized Bernstein-Durrmeyer operators of blending type

Uses Software

• Matlab

Cites Work

• Generalized Baskakov-Szász type operators
• Statistical approximation of a kind of Kantorovich type \(q\)-Szász-Mirakjan operators
• Durrmeyer type modification of generalized Baskakov operators
• Weighted statistical approximation by Kantorovich type \(q\)-Szász-Mirakjan operators
• General gamma type operators based on \( q\)-integers
• Simultaneous approximation for generalized Baskakov-Durrmeyer-type operators
• On statistical approximation of a general class of positive linear operators extended in \(q\)-calculus
• Some approximation theorems via statistical convergence.
• Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions
• Quantitative convergence theorems for a class of Bernstein–Durrmeyer operators preserving linear functions
• Statistical approximation by positive linear operators
• Minimum Moduli of Ordinary Differential Operators
• Convergence Estimates in Approximation Theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Quantitative convergence results for a family of hybrid operators