Modified Kantorovich-Stancu operators (II)

Authors

  • Ioan GAVREA Department of Mathematics Technical University of Cluj-Napoca str. Memorandumului, nr. 28, 400144 Cluj-Napoca, Romania, e-mail: ioan.gavrea@math.utcluj.ro
  • Adonia-Augustina OPRIȘ Department of Mathematics Technical University of Cluj-Napoca str. Memorandumului, nr. 28, 400144 Cluj-Napoca, Romania, e-mail: mate.salaj@yahoo.com

DOI:

https://doi.org/10.24193/subbmath.2019.2.06

Keywords:

Approximation by linear operators, Kantorovich-Stancu operators.

Abstract

In this paper, we introduce a new kind of Bernstein-Kantorovich- Stancu operators. These operators generalize the operators introduced in the paper [2] by V. Gupta, G. Tachev and A.M. Acu.

Mathematics Subject Classification (2010): 41A25, 41A36.

References

B˘arbosu, D., Kantorovich-Stancu type operators, Journal of Inequalities in Pure and Applied Mathematics, 5(2004), no. 3, Article 53.

Gupta, V., Tachev, G., Acu, A.M., Modified Kantorovich operators with better approximation properties, Numer. Algo. (2018). https://doi.org/10.1007/s11075-018-0538-7

Khosravian-Arab, H., Dehghan, M., Eslahchi, M.R., A new approach to improve the order of approximation of the Bernstein operators: theory and applications, Numer. Algo., 77(2018), no. 1, 111-150.

Opri¸s, A.A., Approximation by modified Kantorovich-Stancu operators, JIAP-D-18- 00423, april, 2018 (summited for publication).

Stancu, D.D., Asupra unei generaliza˘ri a polinoamelor lui Bernstein, Studia Univ. Babe¸s-Bolyai, Ser. Math.-Phys., 14(1969), no. 2, 31-45.

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Published

2019-06-30

How to Cite

GAVREA, I., & OPRIȘ, A.-A. (2019). Modified Kantorovich-Stancu operators (II). Studia Universitatis Babeș-Bolyai Mathematica, 64(2), 197–205. https://doi.org/10.24193/subbmath.2019.2.06

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