On approximation properties of Phillips operators preserving exponential functions

DOI10.1007/s00009-017-0981-zzbMath1375.41015OpenAlexW2741574332WikidataQ115609571 ScholiaQ115609571MaRDI QIDQ1679180

Vijay Gupta, Gancho T. Tachev

Publication date: 8 November 2017

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

Full work available at URL: https://doi.org/10.1007/s00009-017-0981-z

zbMATH Keywords

momentsexponential functionsmoment generating functionPhillips operatorsquantitative results

Mathematics Subject Classification ID

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

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Cites Work

• On Szász-Mirakyan operators preserving \(e^{2ax}\), \(a>0\)
• A note on modified Phillips operators
• A global inverse theorem for combinations of Phillips operators
• Positive linear operators which preserve \(x^2\)
• Direct and inverse estimates for Phillips type operators
• Voronovskaja's theorem for functions with exponential growth
• Approximation with positive linear operators and linear combinations
• An inversion formula for Laplace transforms and semi-groups of linear operators
• On Global Inverse Theorems of Szász and Baskakov Operators
• Pointwise estimate for linear combinations of Phillips operators
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