Research Article
Year 2019,
Volume: 68 Issue: 2, 2154 - 2160, 01.08.2019
Abstract
In this paper, we present some approximation properties of the Gauss-Weierstrass operators in exponential weighted spaces including norm convergence of them and Voronovskaya and quantitative Voronovskaya-type theorems.
References
- Anastassiou, G. A.,Aral, A., On Gauss-Weierstrass type integral oprators. Demonstratio Mathematica 43(2010), no.4, 841--849.
- Becker , M., Kucharski, D., Nessel, R. J., Global approximation theorems for the Szasz- Mirakyan operators in exponential weight spaces, in Linear Spaces and Approximation, Proc. Conf. Oberwolfach, 1977), Birkhauser Verlag, Basel (1978), pp. 319-333.
- Butzer, P.L., Nessel, R.J. Fourier Analysis and Approximation, I,II; Birkhauser, Basel and Academic Press, New York, 1971
- Deeba, E., Mohapatra, R.N., Rodriguez, R. S., On the degree of approximation of some singular integrals, Rend. Mat. Appl. 7(1988), 345-355.
- Ditzian, Z., Totik, V., Moduli of Smoothness, Springer-Verlag, New-York, 1987.
- Ibragimov, I. I, Theory of Approximation by Entire Functions, in Russian, Baku, 1979.
- Leśniewicz, A., Rempulska, L., Wasiak, J., Approximation properties of the Picard singular integral in exponential weight spaces, Publ. Mat. 40(1996), no.2, 233--242.
- Mohapatra, R.N., Rodriguez, R.S., On the rate of convergence of singular integrals for Hölders continuous functions.Math. Nachr. 149(1990), 117-124.
- Rempulska, L. and Tomczak, K., On some properties of the Picard operators, Arch. Math. (Brno), 45(2009), 125-135.
Year 2019,
Volume: 68 Issue: 2, 2154 - 2160, 01.08.2019
Abstract
References
- Anastassiou, G. A.,Aral, A., On Gauss-Weierstrass type integral oprators. Demonstratio Mathematica 43(2010), no.4, 841--849.
- Becker , M., Kucharski, D., Nessel, R. J., Global approximation theorems for the Szasz- Mirakyan operators in exponential weight spaces, in Linear Spaces and Approximation, Proc. Conf. Oberwolfach, 1977), Birkhauser Verlag, Basel (1978), pp. 319-333.
- Butzer, P.L., Nessel, R.J. Fourier Analysis and Approximation, I,II; Birkhauser, Basel and Academic Press, New York, 1971
- Deeba, E., Mohapatra, R.N., Rodriguez, R. S., On the degree of approximation of some singular integrals, Rend. Mat. Appl. 7(1988), 345-355.
- Ditzian, Z., Totik, V., Moduli of Smoothness, Springer-Verlag, New-York, 1987.
- Ibragimov, I. I, Theory of Approximation by Entire Functions, in Russian, Baku, 1979.
- Leśniewicz, A., Rempulska, L., Wasiak, J., Approximation properties of the Picard singular integral in exponential weight spaces, Publ. Mat. 40(1996), no.2, 233--242.
- Mohapatra, R.N., Rodriguez, R.S., On the rate of convergence of singular integrals for Hölders continuous functions.Math. Nachr. 149(1990), 117-124.
- Rempulska, L. and Tomczak, K., On some properties of the Picard operators, Arch. Math. (Brno), 45(2009), 125-135.
There are 9 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Applied Mathematics |
| Journal Section | Review Articles |
| Authors | |
| Publication Date | August 1, 2019 |
| Submission Date | January 9, 2019 |
| Acceptance Date | May 31, 2019 |
| Published in Issue | Year 2019 Volume: 68 Issue: 2 |
Cite
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