General theory of global smoothness and approximation by smooth singular operators
DOI10.1016/j.mcm.2011.02.019zbMath1225.41005OpenAlexW2071420639MaRDI QIDQ646094
George A. Anastassiou, Razvan A. Mezei
Publication date: 11 November 2011
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2011.02.019
modulus of smoothnessgeneral singular integralsimultaneous approximation with ratessimultaneous global smoothnesstrigonometric singular integral
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral operators (45P05) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Simultaneous approximation (41A28)
Cites Work
- Quantitative approximation by fractional smooth Poisson Cauchy singular operators
- Global smoothness and uniform convergence of smooth Picard singular operators
- A Voronovskaya type theorem for Poisson-Cauchy type singular operators
- Global smoothness and uniform convergence of smooth Gauss-Weierstrass singular operators
- Uniform convergence with rates for smooth Poisson-Cauchy-type singular integral operators
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- High-order fuzzy approximation by fuzzy wavelet type and neural network operators
- Uniform convergence with rates of smooth Gauss–Weierstrass singular integral operators
- On the Rate of Convergence of Singular Integrals for Hölder Continuous Functions
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- Convergence of generalized singular integrals to the unit, univariate case
- Partial shape preserving approximation by bivariate Hermite-Fejér polynomials
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