Approximation with arbitrary order by Baskakov-type operators preserving exponential functions

DOI10.1007/S40840-020-01063-XzbMath1477.41009OpenAlexW3127365807WikidataQ115600383 ScholiaQ115600383MaRDI QIDQ2045282

Yanyan Li

Publication date: 12 August 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-01063-x

zbMATH Keywords

exponential functionmodulus of continuitypositive linear operatorsBaskakov type operatorsVoronovskaya type results

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Approximation by other special function classes (41A30)

Related Items (3)

Approximation properties of modified gamma operators preserving \(t^{\vartheta}\) ⋮ Approximation by generalized Baskakov Kantorovich operators of arbitrary order ⋮ A class of integral operators that fix exponential functions

Cites Work

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• On Szász-Mirakyan operators preserving \(e^{2ax}\), \(a>0\)
• Quantitative estimates of Voronovskaya type in weighted spaces
• Positive linear operators which preserve \(x^2\)
• Approximation with arbitrary order by certain linear positive operators
• Approximation with an arbitrary order by modified Baskakov type operators
• Szász-Mirakyan type operators which fix exponentials
• A note on Szász-Mirakyan-Kantorovich type operators preserving \(e^{-x}\)
• Convergence estimates for gamma operator
• Convergence by modified Post-Widder operators
• Note on Szász–Mirakyan–Durrmeyer Operators Preserving e^2ax,a>0

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