A certain family of mixed summation-integral-type Lupaş-Phillips-Bernstein operators

DOI10.1186/2251-7456-6-26zbMath1264.41018OpenAlexW2160188814WikidataQ59288539 ScholiaQ59288539MaRDI QIDQ1953787

Honey Sharma, Jaspal Singh Aujla

Publication date: 10 June 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-6-26

zbMATH Keywords

modulus of continuitystatistical convergence\(q\)-integers\(q\)-integration\(q\)-Bernstein operatorLupaş operator

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (3)

On certain family of mixed summation integral type two-dimensional \(q\)-Lupaş-Phillips-Bernstein operators ⋮ Quantitative Estimates of Generalized Boolean Sum Operators of Blending Type ⋮ Some applications of new modified \(q\)-integral type operators

Cites Work

• Some approximation theorems via statistical convergence.
• On the convergence and iterates of \(q\)-Bernstein polynomials
• On statistical approximation properties of the Kantorovich type Lupaş operators
• On the Lupaş \(q\)-analogue of the Bernstein operator
• Some approximation properties of \(q\)-Durrmeyer operators
• Approximation properties of rth order generalized Bernstein polynomials based on q-calculus
• The rate of convergence ofq-Durrmeyer operators for 0<q<1
• A generalization of the Bernstein polynomials based on the q-integers
• A survey of results on the q-Bernstein polynomials
• Quantum calculus
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