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
- 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)
- Ahmed Ali Atash, Maisoon Ahmed Kulib, Extension of exton's hypergeometric function \(K_{16}\) , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Chia-chi Tung, Pier Domenico Lamberti, On Rellich‘s Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- E. Ballico, Postulation of general unions of lines and +lines in positive characteristic , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- Colette Anné, Colette Anné, A topological definition of the Maslov bundle , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
- Man Chun Leung, Concentration of solutions of non-linear elliptic equations involving critical Sobolev exponent , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- Ryuichi Ashino, Michihiro Nagase, Rémi Vaillancourt, Pseudodifferential operators in ð¿áµ–(â„â¿) , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- Branko Malešević, Dimitrije Jovanović, Frame’s Types of Inequalities and Stratification , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Ciprian G. Gal, Sorin G. Gal, On Fokker-Planck and linearized Korteweg-de Vries type equations with complex spatial variables , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Jean-François Bony, Vincent Bruneau, Philippe Briet, Georgi Raikov, Resonances and SSF Singularities for Magnetic Schrödinger Operators , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
<< < 5 6 7 8 9 10 11 12 13 14 15 16 > >>
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
