Approximation by Durrmeyer type Jakimoski-Leviatan operators

DOI10.1002/mma.3650zbMath1342.41029OpenAlexW1746234416MaRDI QIDQ2814095

Ali Karaisa

Publication date: 17 June 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3650

zbMATH Keywords

weighted spaceVoronovskaja type theoremlocal approximationDurrmeyer-type Jakimovski-Leviatan operators

Mathematics Subject Classification ID

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

Related Items (11)

Stancu type generalization of Dunkl analogue of Szàsz operators ⋮ Approximation by Jakimovski-Leviatan-Stancu-Durrmeyer type operators ⋮ Rate of convergence of Chlodowsky type Durrmeyer Jakimovski-Leviatan operators ⋮ Convergence of iterates of q-Bernstein and (p,q)-Bernstein operators and the Kelisky-Rivlin type theorem ⋮ On the approximation by Stancu-type bivariate Jakimovski-Leviatan-Durrmeyer operators ⋮ Jakimovski-Leviatan operators of Durrmeyer type involving Appell polynomials ⋮ Jakimovski-Leviatan operators of Kantorovich type involving multiple Appell polynomials ⋮ Approximation by Jakimovski-Leviatan operators of Durrmeyer type involving multiple Appell polynomials ⋮ Certain approximation properties of Brenke polynomials using Jakimovski-Leviatan operators ⋮ Image of polynomials under generalized Szász operators ⋮ Degree of approximation by Chlodowsky variant of Jakimovski-Leviatan-Durrmeyer type operators

Cites Work

• Stancu type generalization of the Favard-Szàsz operators
• A generalization of Szász-Mirakyan operators based on \(q\)-integers
• Convergence of the \(q\) analogue of Szász-Beta operators
• Korovkin-type approximation theory and its applications
• Stancu type generalization of \(q\)-Favard-Szàsz operators
• Approximation by Chlodowsky type Jakimovski-Leviatan operators
• Rate of convergence in simultaneous approximation for Szász--Mirakyan--Durrmeyer operators
• Approximation properties for King's type modified q -Bernstein-Kantorovich operators
• Rate of convergence for generalized Szász operators
• Korovkin type approximation theorems for weighted $$\alpha \beta $$ α β -statistical convergence

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