On \(q\)-analogue of a complex summation-integral type operators in compact disks

DOI10.1186/1029-242X-2012-111zbMath1273.30025WikidataQ59292130 ScholiaQ59292130MaRDI QIDQ371934

Ravi P. Agarwal, Vijay Gupta

Publication date: 11 October 2013

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

zbMATH Keywords

approximation\(q\)-beta function\(q\)-integer\(q\)-factorialcomplex \(q\)-Durrmeyer operators

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Rate of convergence, degree of approximation (41A25)

Related Items (20)

Approximation by \(q\)-Durrmeyer type polynomials in compact disks in the case \(q > 1\) ⋮ Approximation by integral form of Jain and Pethe operators ⋮ Approximation properties of bivariate complex \(q\)-Balàzs-Szabados operators of tensor product kind ⋮ Modified Lupaş-Kantorovich operators with Pólya distribution ⋮ Szasz-Schurer operators on a domain in complex plane ⋮ Approximation by complex \(q\)-modified Bernstein-Schurer operators on compact disks ⋮ Higher-order Bernstein-Kantorovich operators ⋮ Approximation properties of complex genuine α–Bernstein‐Durrmeyer operators ⋮ Differences of Operators of Lupaş Type ⋮ On \(q\)-analogue of Bernstein-Schurer-Stancu operators ⋮ Upper Estimate for general complex Baskakov-Szász Operator ⋮ Degree of approximation for bivariate extension of Chlodowsky-type $q$-Bernstein-Stancu-Kantorovich operators ⋮ Approximation of functions by complex genuine Pólya-Durrmeyer operators ⋮ Approximation by complex bivariate Balázs-Szabados operators ⋮ Some families of q-sums and q-products ⋮ A new kind of bi-variate \(\lambda\)-Bernstein-Kantorovich type operator with shifted knots and its associated GBS form ⋮ On Approximation Properties of Szász–Mirakyan Operators ⋮ Direct estimates for Gupta type general operators ⋮ Approximation with certain genuine hybrid operators ⋮ Overconvergence of complex Baskakov-Szász-Stancu operators

Cites Work

• Approximation by a complex \(q\)-Durrmeyer type operator
• \(q\)-generalized Euler numbers and polynomials
• Approximation by a Durrmeyer-type operator in compact disks
• The rate of convergence ofq-Durrmeyer operators for 0<q<1

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