Uniform convergence with rates of general singular operators
-
George A. Anastassiou
ganastss@memphis.edu
-
Razvan A. Mezei
rmezei@memphis.edu
Downloads
DOI:
https://doi.org/10.4067/s0719-06462013000200001Abstract
In this article we study the approximation properties of general singular integral operators over the real line. We establish their convergence to the unit operator with rates. The estimates are mostly sharp and they are pointwise or uniform. The established inequalities involve the higher order modulus of smoothness. We apply this theory to the trigonometric singular operators.
Keywords
Most read articles by the same author(s)
- George A. Anastassiou, Right general fractional monotone approximation , CUBO, A Mathematical Journal: Vol. 17 No. 3 (2015): CUBO, A Mathematical Journal
- George A. Anastassiou, Quantitative Approximation by a Kantorovich-Shilkret quasi-interpolation neural network operator , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- George A. Anastassiou, Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators , CUBO, A Mathematical Journal: Vol. 20 No. 1 (2018)
- George A. Anastassiou, Approximation by discrete singular operators , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- George A. Anastassiou, Foundations of generalized Prabhakar-Hilfer fractional calculus with applications , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- George A. Anastassiou, Higher order multivariate Fuzzy approximation by basic neural network operators , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
- George A. Anastassiou, Fractional Voronovskaya type asymptotic expansions for quasi-interpolation neural network operators , CUBO, A Mathematical Journal: Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal
- Razvan A. Mezei, Applications and Lipschitz results of approximation by smooth Picard and Gauss-Weierstrass type singular integrals , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- George A. Anastassiou, Spline left fractional monotone approximation involving left fractional differential operators , CUBO, A Mathematical Journal: Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal
- George A. Anastassiou, Multiple general sigmoids based Banach space valued neural network multivariate approximation , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
Similar Articles
- M. E. Luna, M. Shapiro, D. C. Struppa, A. Vajiac, Bicomplex Numbers and their Elementary Functions , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Moussa Barro, Aboudramane Guiro, Dramane Ouedraogo, Optimal control of a SIR epidemic model with general incidence function and a time delays , CUBO, A Mathematical Journal: Vol. 20 No. 2 (2018)
- H. M. Srivastava, Fractional calculus and its applications , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- A. El-Sayed Ahmed, M. A. Bakhit, Composition operators in hyperbolic general Besov-type spaces , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- K. Kalyani, N. Seshagiri Rao, Coincidence point results of nonlinear contractive mappings in partially ordered metric spaces , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Daniel Henry Gottlieb, Topology and the non-existence of magnetic monopoles , CUBO, A Mathematical Journal: Vol. 2 No. 1 (2000): CUBO, Matemática Educacional
- Derek Hacon, Jordan normal form via ODE's , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- Ram U. Verma, The ϵ−Optimality conditions for multiple objective fractional programming problems for generalized (Ï, η)−invexity of higher order , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Takahiro Sudo, Computing the inverse Laplace transform for rational functions vanishing at infinity , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
- T.M.M. Sow, A new iterative method based on the modified proximal-point algorithm for finding a common null point of an infinite family of accretive operators in Banach spaces , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
<< < 3 4 5 6 7 8 9 10 11 12 13 14 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2013-06-01
How to Cite
[1]
G. A. Anastassiou and R. A. Mezei, “Uniform convergence with rates of general singular operators”, CUBO, vol. 15, no. 2, pp. 01–19, Jun. 2013.
Issue
Section
Articles
