Generalized Szasz-Mirakian type operators

Raksha Rani Agrawal, Nandita Gupta

Abstract


In this paper we propose certain modifications of Szasz-Mirakian type operators and study their approximation properties. We also give a Voronovskaya type theorem for these operators.

Keywords


Linear Positive Operators; Schurer type operator; Szasz-Mirakian operators;voronovskaya type theorem

Full Text:

PDF

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.




DOI: http://dx.doi.org/10.24193/subbmath.2024.2.11

Refbacks

  • There are currently no refbacks.