Dunkl generalization of Szász operators via \(q\)-calculus

DOI10.1186/s13660-015-0809-yzbMath1334.41032OpenAlexW1841209957WikidataQ59428971 ScholiaQ59428971MaRDI QIDQ262489

Bayram Çekim, Gürhan İçöz

Publication date: 29 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0809-y

zbMATH Keywords

generating functionsDunkl analoggeneralization of exponential functionSzász operator

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (32)

A Dunkl type generalization of Szász operators via post-quantum calculus ⋮ A generalized Dunkl type modifications of Phillips operators ⋮ Approximation of functions by Dunkl-type generalization of Szász-Durrmeyer operators based on \((p,q)\)-integers ⋮ Dunkl generalization of \(q\)-Szász-Mirakjan Kantorovich operators which preserve some test functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On a generalization of Szasz-Mirakyan operators including Dunkl-Appell polynomials ⋮ Unnamed Item ⋮ Dunkl generalization of Kantorovich type Szász–Mirakjan operators via q-calculus ⋮ Statistical approximation properties of modified Durrmeyer q-Baskakov type operators with two parameters α and β ⋮ Approximation results on Dunkl generalization of Phillips operators via \(q\)-calculus ⋮ Unnamed Item ⋮ Dunkl analogue of Szász-Mirakjan operators of blending type ⋮ On modified Dunkl generalization of Szász operators via \(q\)-calculus ⋮ Approximation by sequence of operators including Dunkl-Appell polynomials ⋮ Unnamed Item ⋮ Dunkl-gamma type operators including Appell polynomials ⋮ Weighted approximation and GBS of Chlodowsky-Szász-Kantorovich type operators ⋮ A Dunkl analogue of operators including two-variable Hermite polynomials ⋮ Unnamed Item ⋮ Better Rate of Convergence by Modified Integral Type Operators ⋮ A Dunkl-type generalization of Szász-Kantorovich operators via post-quantum calculus ⋮ \(q\)-Szász-Durrmeyer type operators based on Dunkl analogue ⋮ Approximation by a class of \(q\)-beta operators of the second kind via the Dunkl-type generalization on weighted spaces ⋮ Approximation by a generalized class of Dunkl type Szász operators based on post quantum calculus ⋮ Approximation on a class of Szász-Mirakyan operators via second kind of beta operators ⋮ Approximation on a class of Phillips operators generated by \(q\)-analogue ⋮ Dunkl-type generalization of the second kind beta operators via \((p, Q)\)-calculus ⋮ Quantitative Dunkl analogue of Szász-Mirakyan operators ⋮ A Dunkl-Gamma type operator in terms of generalization of two-variable Hermite polynomials ⋮ A note on the convergence of Phillips operators by the sequence of functions via \(q\)-calculus ⋮ Dunkl generalization of Phillips operators and approximation in weighted spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dunkl analogue of Szasz operators
• The rate of pointwise approximation of positive linear operators based on \(q\)-integer
• Direct estimates for certain Szász type operators
• A generalization of Szász-Mirakyan operators based on \(q\)-integers
• Approximation by \(q\)-Durrmeyer operators
• Korovkin-type approximation theory and its applications
• \(q\)-Bernstein polynomials and their iterates.
• Some approximation results by \((p, q)\)-analogue of Bernstein-Stancu operators
• Asymptotic formulas for generalized Szász-Mirakyan operators
• Approximation by modified Szasz-Mirakjan operators on weighted spaces
• On the generalized Szász-Mirakyan operators
• \(q\)-Dunkl-classical \(q\)-Hermite type polynomials
• Saturation of convergence for \(q\)-Bernstein polynomials in the case \(q\geqslant 1\)
• Properties of convergence for \(\omega,q\)-Bernstein polynomials
• Some approximation properties of \(q\)-Durrmeyer operators
• Properties of convergence for the \(q\)-Meyer-König and Zeller operators
• Stancu-type generalization of Dunkl analogue of Szász-Kantorovich operators
• Generalized q-Baskakov operators
• Rate of convergence for generalized Szász operators
• Approximation Properties of Two-Dimensionalq-Bernstein-Chlodowsky-Durrmeyer Operators
• Applications of q-Calculus in Operator Theory
• Generalization of Bernstein's polynomials to the infinite interval
• A survey of results on the q-Bernstein polynomials
• On Pointwise Convergence ofq-Bernstein Operators and Theirq-Derivatives
• Quantum calculus

This page was built for publication: Dunkl generalization of Szász operators via \(q\)-calculus