\(q\)-Szász-Durrmeyer type operators based on Dunkl analogue

DOI10.1007/S11785-018-0816-3zbMath1416.41032OpenAlexW2810651254MaRDI QIDQ2313005

Nadeem Rao, Abdul Wafi, Ana-Maria Acu

Publication date: 18 July 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-018-0816-3

zbMATH Keywords

modulus of continuitySzász operator\(q\)-integersDunkl analogue

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36) Approximation by other special function classes (41A30)

Related Items (16)

Approximation of functions by Dunkl-type generalization of Szász-Durrmeyer operators based on \((p,q)\)-integers ⋮ Approximation of Jakimovski-Leviatan-Beta type integral operators via \(q\)-calculus ⋮ Convergence on sequences of Szász-Jakimovski-Leviatan type operators and related results ⋮ Approximation results on Dunkl generalization of Phillips operators via \(q\)-calculus ⋮ Approximation by Szász-Jakimovski-Leviatan-type operators via aid of Appell polynomials ⋮ Unnamed Item ⋮ Dunkl-gamma type operators including Appell polynomials ⋮ A Dunkl-type generalization of Szász-Kantorovich operators via post-quantum calculus ⋮ Approximation by a class of \(q\)-beta operators of the second kind via the Dunkl-type generalization on weighted spaces ⋮ Approximation on parametric extension of Baskakov-Durrmeyer operators on weighted spaces ⋮ Approximation by a generalized class of Dunkl type Szász operators based on post quantum calculus ⋮ Stancu type \(q\)-Bernstein operators with shifted knots ⋮ 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 ⋮ A note on the convergence of Phillips operators by the sequence of functions via \(q\)-calculus

Cites Work

• Dunkl generalization of Szász operators via \(q\)-calculus
• Dunkl analogue of Szasz operators
• Theorems of Korovkin type
• Some approximation theorems via statistical convergence.
• \(q\)-Dunkl-classical \(q\)-Hermite type polynomials
• Convergence of derivatives for certain mixed Szasz--Beta operators
• The rate of convergence ofq-Durrmeyer operators for 0<q<1
• Statistical approximation by positive linear operators
• Applications of q-Calculus in Operator Theory
• Generalization of Bernstein's polynomials to the infinite interval
• Local approximation properties for certain King type operators
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS
• Convergence Estimates in Approximation Theory
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