On the stability of some classical operators from approximation theory

DOI10.1016/j.exmath.2013.01.007zbMath1284.39032OpenAlexW2013391384MaRDI QIDQ391958

Dorian Popa, Ioan Raşa

Publication date: 13 January 2014

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2013.01.007

zbMATH Keywords

normed spaceapproximationBernstein operatorHyers-Ulam stabilitybest constantbeta integral operatorDurmeyer operatorKantorovich operatorMeyer-König operatorSzász-Mirakjan operator

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Approximation by operators (in particular, by integral operators) (41A35) Best constants in approximation theory (41A44)

Related Items (10)

Hyers-Ulam stability of differential operators on reproducing kernel function spaces ⋮ Best constant in stability of some positive linear operators ⋮ Ulam stability of a successive approximation equation ⋮ Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions ⋮ On the best constant in Hyers-Ulam stability of some positive linear operators ⋮ On Ulam stability of an operatorial equation ⋮ On the best Ulam constant of the second order linear differential operator ⋮ Boundedness, compactness and the Hyers-Ulam stability of a linear combination of differential operators ⋮ On the Decomposition of Bernstein Operators ⋮ On the stability of some positive linear operators from approximation theory

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