Generalized Szasz-Mirakian type operators

Authors

  • Raksha Rani Agrawal S.S.T.C./S.S.G.I. College, Durg, Chhattisgarh,India
  • Nandita Gupta Government Polytechnic, Mahasamund, C. G. India

DOI:

https://doi.org/10.24193/subbmath.2024.2.11

Keywords:

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

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.

References

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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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Published

2024-06-14

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Section

Articles