Better numerical approximation by Durrmeyer type operators

DOI10.1007/S00025-019-1019-6zbMath1423.41029arXiv1810.06829OpenAlexW2897218377WikidataQ128021363 ScholiaQ128021363MaRDI QIDQ2311932

Vijay Gupta, Ana-Maria Acu, Gancho T. Tachev

Publication date: 4 July 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.06829

zbMATH Keywords

Voronovskaja type theoremapproximation by polynomialsDurrmeyer polynomials

Mathematics Subject Classification ID

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

Related Items (8)

Improved rate of approximation by modification of Baskakov operator ⋮ Approximation by Durrmeyer Type Exponential Sampling Operators ⋮ Approximation by certain linking operators ⋮ On complex modified Bernstein-Stancu operators ⋮ Integral Baskakov type operator with quadratic order of approximation ⋮ Perturbed Bernstein-type operators ⋮ Quasi-interpolant operators in Bernstein basis ⋮ Approximation for link Ismail-May operators

Cites Work

• An answer to a conjecture on Bernstein operators
• The complete asymptotic expansion for Bernstein operators
• A new approach to improve the order of approximation of the Bernstein operators: theory and applications
• Der Wert einiger Konstanten in der Theorie der Approximation mit Bernstein-Polynomen
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• Approximation with positive linear operators and linear combinations
• Modified Kantorovich operators with better approximation properties
• Bernstein Operators and Their Properties
• Convergence Estimates in Approximation Theory
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