Approximation by linear combinations of complex Phillips operators in compact disks

DOI10.1007/S00025-014-0377-3zbMath1300.41011OpenAlexW2073566745MaRDI QIDQ471753

Vijay Gupta, Gancho T. Tachev

Publication date: 17 November 2014

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-014-0377-3

zbMATH Keywords

degree of approximationlinear combinationsPhillips operatorscompact diskscomplex operators

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items (4)

Approximation for genuine summation-integral type link operators ⋮ Genuine link Baskakov-Durrmeyer operators ⋮ On Complex Modified Genuine Szász-Durrmeyer-Stancu Operators ⋮ Overconvergence of complex Baskakov-Szász-Stancu operators

Cites Work

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• Generalized Voronovskaja's theorem and approximation by Butzer's combinations of complex Bernstein polynomials
• Direct and inverse estimates for Phillips type operators
• An inversion formula for Laplace transforms and semi-groups of linear operators
• 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
• Overconvergence in Complex Approximation
• Approximation by Complex Durrmeyer Type Operators in Compact Disks
• Convergence Estimates in Approximation Theory

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