On some extensions of Szasz operators including Boas-Buck-type polynomials

DOI10.1155/2012/680340zbMath1250.41014OpenAlexW2090914026WikidataQ58695854 ScholiaQ58695854MaRDI QIDQ448774

Sezgin Sucu, Serhan Varma, Gürhan İçöz

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/680340

zbMATH Keywords

Szász operatorsLaguerre polynomialsCharlier polynomialsBoas-Buck-type polynomialsGould-Hopper polynomials

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (19)

Quasi-monomiality and convergence theorem for the Boas-Buck-Sheffer polynomials ⋮ Convergence rate of Szász operators involving Boas-Buck-type polynomials ⋮ Stancu type generalization of Szász-Durrmeyer operators involving Brenke-type polynomials ⋮ The approximation Szász-Chlodowsky type operators involving Gould-Hopper type polynomials ⋮ On a generalization of Szasz-Mirakyan operators including Dunkl-Appell polynomials ⋮ Bézier variant of the Jakimovski-Leviatan-Păltănea operators based on Appell polynomials ⋮ Some approximation properties of operators including degenerate Appell polynomials ⋮ New operators based on Laguerre polynomials ⋮ A Kantorovich-Stancu type generalization of Szasz operators including Brenke type polynomials ⋮ Some results on generalized Szász operators involving Sheffer polynomials ⋮ Szász-Durrmeyer operators involving Boas-Buck polynomials of blending type ⋮ Approximation by Chlodowsky type of Szász operators based on Boas–Buck-type polynomials ⋮ A Dunkl analogue of operators including two-variable Hermite polynomials ⋮ A sequence of Appell polynomials and the associated Jakimovski-Leviatan operators ⋮ Unnamed Item ⋮ Stancu-type generalization of Dunkl analogue of Szász-Kantorovich operators ⋮ A Dunkl-Gamma type operator in terms of generalization of two-variable Hermite polynomials ⋮ Unnamed Item ⋮ Approximation by operators sequence involving a certain class of polynomials

Cites Work

• Vector orthogonal relations. Vector QD-algorithm
• Generalization of Szasz operators involving Brenke type polynomials
• Operational formulas connected with two generalizations of Hermite polynomials
• Korovkin-type approximation theory and its applications
• The relation of the \(d\)-orthogonal polynomials to the Appell polynomials
• Szász type operators involving Charlier polynomials
• L'orthogonalité et les récurrences de polynômes d'ordre supérieur à deux
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