Approximation properties by Bernstein-Durrmeyer type operators

DOI10.1007/s11785-011-0167-9zbMath1321.41026OpenAlexW2008899237MaRDI QIDQ371791

Vijay Gupta

Publication date: 10 October 2013

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

Full work available at URL: https://doi.org/10.1007/s11785-011-0167-9

zbMATH Keywords

modulus of continuitycompact disksDurrmeyer polynomialsKorovkin-type approximation theorem

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35)

Related Items (14)

Strong converse inequality for left Bernstein-Durrmeyer quasi-interpolants ⋮ Approximation by complex genuine hybrid operators ⋮ Pointwise approximation for a type of Bernstein-Durrmeyer operators ⋮ Chlodovsky type operators on parabolic domain ⋮ On approximation by Stancu type Bernstein-Schurer polynomials in compact disks ⋮ Approximation by Jakimovski-Leviatan type operators on a complex domain ⋮ Approximation by complex \(q\)-modified Bernstein-Schurer operators on compact disks ⋮ Approximation properties of complex genuine α–Bernstein‐Durrmeyer operators ⋮ Upper Estimate for general complex Baskakov-Szász Operator ⋮ Approximation of functions by complex genuine Pólya-Durrmeyer operators ⋮ Complex Baskakov-Szász operators in compact semi-disks ⋮ Approximation by the complex form of a link operator between the Phillips and the Szász-Mirakjan operators ⋮ Approximation of analytic functions by generalized Favard-Szász-Mirakjan-Faber operators in compact sets ⋮ Overconvergence of complex Baskakov-Szász-Stancu operators

Cites Work

• Unnamed Item
• Local approximation by a variant of Bernstein-Durrmeyer operators
• Voronovskaja’s theorem, shape preserving properties and iterations for complex q-Bernstein polynomials
• Approximation by complex summation-integral type operator in compact disks

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