Generalized Szász-Mirakian Type Operators
DOI:
https://doi.org/10.24193/subbmath.2024.2.11Keywords:
Linear positive operators, Schurer type operator, Szász-Mirakian operators, Voronovskaya type theoremAbstract
In this paper, we are proposing certain modifications of Szász-Mirakian type operators and study their approximation properties. We also give a Voronovskaya type theorem for these operators.
Mathematics Subject Classification (2010): 41A25, 41A36.
Received 20 April 2022; Accepted 14 July 2023
References
Deo, N., Noor, M.A., Siddiqui, M.A., On approximation by a class of new Bernstein-type operators, Appl. Math. Comput., 201(2008), 604-612.
Ditzian, Z., Totik, V., Moduli of Smoothness, Springer-Verlag, New York, 1987.
Firlej, B., Rempulska, L., Approximation function by some linear positive operators, Fasciculi Mathematici, 27(1997), 65-79.
Lopez-Moreno, A.J., Preservation of Lipschitz constants by Bernstein type operators, Acta Math. Hungar., 102(4)(2005), 343-354.
Rempulska, L., Skorupa, M., A Voronowskaja-type theorem for some linear positive operators, Indian Journal of Mathematics, 39(1997), no. 2, 127-137.
Schurer, F., Linear positive operators in approximation theory, Math. Inst. Techn. Univ.
Delft Report, (1962).
Schurer, F., On Linear Positive Operators in Approximation Theory, Dissertation, University of Delft, 1965.
Totik, V., Approximation by Bernstein polynomials, Amer. J. Math., 116(1994), 995- 1008.
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