\(\alpha\)-Bernstein-Kantorovich operators

DOI10.1007/S13370-019-00746-4zbMath1449.41013OpenAlexW2989828291MaRDI QIDQ780604

Naokant Deo, Ram Pratap

Publication date: 15 July 2020

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-019-00746-4

zbMATH Keywords

modulus of continuityBernstein operatorsdirect resultsKantorovich operators

Mathematics Subject Classification ID

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

Related Items (7)

Bézier variant of Bernstein–Durrmeyer blending-type operators ⋮ Approximation by Durrmeyer variant of Cheney-Sharma Chlodovsky operators ⋮ The family of \(\lambda\)-Bernstein-Durrmeyer operators based on certain parameters ⋮ The family of Bernstein-Kantorovich operators with shifted knots ⋮ Approximation by modified Szász-Kantorovich type operators based on brenke type polynomials ⋮ Approximation properties of generalized \(\lambda\)-Bernstein-Kantorovich type operators ⋮ Approximation by mixed positive linear operators based on second-kind beta transform

Cites Work

• Approximation of functions by a new family of generalized Bernstein operators
• Analysis of approximation by linear operators on variable \(L_\rho^{p(\cdot)}\) spaces and applications in learning theory
• Approximation by Kantorovich form of modified Szász-Mirakyan operators
• Better approximation results by Bernstein-Kantorovich operators
• Smoothness Properties of Modified Bernstein-Kantorovich Operators
• Construction of a new family of Bernstein-Kantorovich operators
• Kantorovich Operators of Order k
• Approximation of functions by genuine Bernstein-Durrmeyer type operators

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