Direct and inverse estimates for Phillips type operators

DOI10.1016/J.JMAA.2004.08.064zbMath1072.41011OpenAlexW2030189878MaRDI QIDQ1771003

Zoltán Finta, Vijay Gupta

Publication date: 7 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.08.064

zbMATH Keywords

approximation by positive operators

Mathematics Subject Classification ID

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

Related Items (24)

Approximation with certain Post-Widder operators ⋮ Approximation for genuine summation-integral type link operators ⋮ A large family of linear positive operators ⋮ Phillips operators preserving arbitrary exponential functions, eat, ebt ⋮ On approximation properties of Phillips operators preserving exponential functions ⋮ Simultaneous approximation for the Phillips operators ⋮ Approximation for Jakimovski-Leviatan-Pǎltǎnea operators ⋮ On the order of approximation by modified summation-integral-type operators based on two parameters ⋮ On modified Post-Widder operators which fix exponentials ⋮ Convergence in simultaneous approximation for Srivastava-Gupta operators ⋮ Unnamed Item ⋮ Approximation by complex Phillips-Stancu operators in compact disks under exponential growth conditions ⋮ Approximation by linear combinations of complex Phillips operators in compact disks ⋮ On approximation by Phillips type modified Bernstein operator in a mobile interval ⋮ Direct estimates of certain Miheşan-Durrmeyer type operators ⋮ Approximation with modified Phillips operators ⋮ Direct estimates for a certain form of Srivastava-Gupta operators ⋮ Approximation by Jakimovski-Leviatan-Pǎltǎnea operators involving Sheffer polynomials ⋮ Improved approximation on Durrmeyer-type operators ⋮ Generalized hybrid operators preserving exponential functions ⋮ A note on the general family of operators preserving linear functions ⋮ Direct estimates for a new general family of Durrmeyer type operators ⋮ On Complex Modified Genuine Szász-Durrmeyer-Stancu Operators ⋮ Approximation by generalized Srivastava-Gupta operators based on certain parameter

Cites Work

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• On Phillips operator
• Rate of approximation by a new sequence of linear positive operators
• An inversion formula for Laplace transforms and semi-groups of linear operators
• On convergence of derivatives of Phillips operators
• DIRECT AND CONVERSE THEOREMS FOR INTEGRAL-TYPE OPERATORS
• Generalization of Bernstein's polynomials to the infinite interval
• Strong converse inequalities
• Strong converse inequalities

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