A global inverse theorem for combinations of Phillips operators

DOI10.1007/s00009-015-0648-6zbMath1357.41006OpenAlexW2218196421MaRDI QIDQ727555

Gancho T. Tachev

Publication date: 7 December 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-015-0648-6

zbMATH Keywords

inverse theoremsDitzian-Totik modulus of smoothnesslinear combinationsPhillips operators

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (2)

Phillips operators preserving arbitrary exponential functions, eat, ebt ⋮ On approximation properties of Phillips operators preserving exponential functions

Cites Work

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• Approximation of bounded continuous functions by linear combinations of Phillips operators
• A global inverse theorem for combinations of Bernstein polynomials
• On Phillips operator
• Direct and converse results on weighted simultaneous approximation by the method of operators of Baskakov-Durrmeyer type
• An inversion formula for Laplace transforms and semi-groups of linear operators
• On convergence of derivatives of Phillips operators
• Linear Combinations of Bernstein Polynomials
• Strong converse inequalities

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