Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators
-
George A. Anastassiou
ganastss@memphis.edu
Downloads
DOI:
https://doi.org/10.4067/S0719-06462018000100001Abstract
A very general positive sublinear Shilkret integral type operator is given through a convolution-like iteration of another general positive sublinear operator with a scaling type function.For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates. Additionally, two examples of very general specialized operators are presented fulfilling all the above properties, the higher order of approximation of these operators is also considered.
Keywords
G.A. Anastassiou,High order Approximation by univariate shift-invariant integral operators,in: R. Agarwal, D. O‘Regan (eds.), Nonlinear Analysis and Applications,2 volumes, vol. I, pp.141-164, Kluwer, Dordrecht, (2003).
G.A. Anastassiou,Intelligent Mathematics: Computational Analysis, Springer, Heidelberg,New York, 2011.
G.A. Anastassiou, S. Gal,Approximation Theory, Birkhauser, Boston, Basel, Berlin, 2000.
G.A. Anastassiou, H.H. Gonska,On some shift invariant integral operators, univariate case, Ann. Polon. Math., LXI, 3, (1995), 225-243.
Niel Shilkret,Maxitive measure and integration, Indagationes Mathematicae, 33 (1971), 109-116.
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 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
- George A. Anastassiou, Caputo fractional Iyengar type Inequalities , CUBO, A Mathematical Journal: Vol. 21 No. 2 (2019)
- George A. Anastassiou, Multiple general sigmoids based Banach space valued neural network multivariate approximation , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- George A. Anastassiou, Poincar´e Type Inequalities for Linear Differential Operators , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- George A. Anastassiou, Ostrowski-Sugeno fuzzy inequalities , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
Similar Articles
- M.I. Belishev, A.F. Vakulenko, On algebraic and uniqueness properties of harmonic quaternion fields on 3d manifolds , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
- A. Aghajani, D. O'Regan, A. Shole Haghighi, Measure of noncompactness on Lp(RN) and applications , CUBO, A Mathematical Journal: Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal
- Alina Sîntamarian, Euler's constant, new classes of sequences and estimates , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Saeid Jafari, Raja Mohammad Latif, Seithuti P. Moshokoa, A note on generalized topological spaces and preorder , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Richard Delanghe, On homogeneous polynomial solutions of generalized Moisil-Théodoresco systems in Euclidean space , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- A.A. Shaikh, C.S. Bagewadi, On ð˜•(ð‘˜)-Contact Metric Manifolds , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- S. Tchuiaga, M. Koivogui, F. Balibuno, V. Mbazumutima, On topological symplectic dynamical systems , CUBO, A Mathematical Journal: Vol. 19 No. 2 (2017): CUBO, A Mathematical Journal
- Mihai Prunescu, Concrete algebraic cohomology for the group (â„, +) or how to solve the functional equation ð‘“(ð‘¥+ð‘¦) - ð‘“(ð‘¥) - ð‘“(ð‘¦) = ð‘”(ð‘¥, ð‘¦) , CUBO, A Mathematical Journal: Vol. 9 No. 3 (2007): CUBO, A Mathematical Journal
- Zhenlai Han, Shurong Sun, Symplectic Geometry Applied to Boundary Problems on Hamiltonian Difference Systems , CUBO, A Mathematical Journal: Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal
- M.O Korpusov, A. G. Sveschnikov, On blowing-up of solutions of Sobolev-type equation with source , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
<< < 9 10 11 12 13 14 15 16 17 18 19 20 > >>
You may also start an advanced similarity search for this article.
