Rate of convergence by Kantorovich type operators involving adjoint Bernoulli polynomials

DOI10.2298/pim2328051mOpenAlexW4389746200MaRDI QIDQ6190579

Mine Menekse Yilmaz

Publication date: 6 February 2024

Published in: Publications de l'Institut Math?matique (Belgrade) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/pim2328051m

zbMATH Keywords

rate of convergencegenerating functionsmodulus of smoothnessBernoulli polynomialsKorovkin theoremVoronovskaya-type theorem

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Cites Work

• A new generating function of (\(q\)-) Bernstein-type polynomials and their interpolation function
• On multiple interpolation functions of the Nörlund-type \(q\)-Euler polynomials
• Approximation by sequence of operators including Dunkl-Appell polynomials
• A New Nonparametric Estimation Method of the Variance in Heteroscedastic Model
• Approximation by Kantorovich-Szász Type Operators Based on Brenke Type Polynomials
• Bernsteinsche Potenzreihen
• Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers
• Gr\"uss and Gr\"uss-Voronovskaya-type estimates for some Bernstein-type polynomials of real and complex variables
• Generalization of Bernstein's polynomials to the infinite interval
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