Abstract
We introduce modified Post-Widder operators in polynomial weighted spaces of differentiable functions and we study strong approximation for them.
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Becker, M., Global Approximation Theorems for Szász-Mirakyan and Baskakov Operators in Polynomial Weight Spaces, Indiana Univ. Math. J., 27:(1978), 127–142.
Ditzian, Z. and Totik, V., Moduli of Smoothness, Springer-Verlag, New York, 1987.
Kirov, G. H., A Generalization of the Bernstein Polynomials, Math. Balkanica, 6:2(1992), 147–153.
Leindler, L., Strong Approximation by Fourier Series, Akad. Kiado, Budapest, 1985.
Rempulska, L. and Skorupka, M., On Strong Approximation of Functions by Certain Linear Operators, J. Okayama Univ., 46(2004), 153–161.
Stancu, D. D., On the Beta Approximating Operators of Second Kind, Rev. Anal. Numer. Theor. Approx., 24:1–2(1995), 231-239.
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Rempulska, L., Skorupka, M. On strong approximation applied to post-widder operators. Analysis in Theory and Applications 22, 172–182 (2006). https://doi.org/10.1007/BF03218710
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DOI: https://doi.org/10.1007/BF03218710