A new construction of Szász-Mirakyan operators

DOI10.1007/S11075-017-0317-XzbMath1408.41016OpenAlexW2602049772MaRDI QIDQ684178

Ali Aral, Gulsum Ulusoy, Emre Deniz

Publication date: 9 February 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-017-0317-x

zbMATH Keywords

weighted modulus of continuityKorovkin-type theorempositive linear operatorsVoronovskaya type theoremSzász-Mirakyan-type operatorsKing-type operators

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Approximation by other special function classes (41A30)

Related Items (13)

Approximation properties of modified \((p,q)\)-Szász-Mirakyan-Kantorovich operators ⋮ A new construction of Lupaş operators and its approximation properties ⋮ On approximation properties of a new construction of Baskakov operators ⋮ Approximation of Durrmeyer type operators depending on certain parameters ⋮ Approximation of functions by a new construction of <scp>Bernstein‐Chlodowsky</scp> operators: Theory and applications ⋮ Jain's operator: A new construction and applications in approximation theory ⋮ Quantitative estimates of Voronovskaya type in weighted spaces ⋮ Generalized Szász-Mirakjan type operators via \(q\)-calculus and approximation properties ⋮ Approximation properties of Jain-Appell operators ⋮ On sequences of J. P. King-type operators ⋮ Approximation theorems for the new construction of Balázs operators and its applications ⋮ DEGREE OF APPROXIMATION FOR BIVARIATE SZASZ-KANTOROVICH TYPE BASED ON BRENKE TYPE POLYNOMIALS ⋮ Approximation of functions by Favard-Szász-Mirakyan operators of max-product type in weighted spaces

Cites Work

• Bernstein-type operators which preserve polynomials
• Korovkin-type approximation theory and its applications
• Positive linear operators which preserve \(x^2\)
• On the generalized Szász-Mirakyan operators
• Szász-Mirakjan type operators providing a better error estimation
• q-Voronovskaya type theorems forq-Baskakov operators
• Generalization of Bernstein's polynomials to the infinite interval
• Bernstein-type operators which preserve exactly two test functions
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