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, Multiple general sigmoids based Banach space valued neural network multivariate approximation , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- 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, 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, Poincar´e Type Inequalities for Linear Differential Operators , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): 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, Ostrowski-Sugeno fuzzy inequalities , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
Similar Articles
- Violeta Petkova, Spectral results for operators commuting with translations on Banach spaces of sequences on Zᴷ and Z⺠, CUBO, A Mathematical Journal: Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal
- S.S. Dragomir, Refinements of the generalized trapezoid inequality in terms of the cumulative variation and applications , CUBO, A Mathematical Journal: Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal
- H. Miranda, Robert C. Thompson, A trace inequality with a subtracted term , CUBO, A Mathematical Journal: No. 8 (1992): CUBO, Revista de Matemática
- Seyed Mostafa Sajjadi, Ghasem Alizadeh Afrouzi, On a class of fractional \(p(x,y)-\)Kirchhoff type problems with indefinite weight , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- William Greenberg, Michael Williams, Global Solutions of the Enskog Lattice Equation with Square Well Potential , CUBO, A Mathematical Journal: Vol. 9 No. 1 (2007): CUBO, A Mathematical Journal
- Ravi P. Agarwal, Triple solutions of constant sign for a system of fredholm integral equations , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- Sunny Chauhan, B. D. Pant, Mohammad Imdad, Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Mouffak Benchohra, Gaston M. N‘Guérékata, Djamila Seba, Measure of noncompactness and nondensely defined semilinear functional differential equations with fractional order , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Leigh C. Becker, T. A. Burton, Jensen's Inequality and Liapunov's Direct Method , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- M. H. Saleh, S. M. Amer, M. H. Ahmed, The method of Kantorovich majorants to nonlinear singular integral equations with Hilbert Kernel , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
<< < 2 3 4 5 6 7 8 9 10 11 12 13 > >>
You may also start an advanced similarity search for this article.
