Research Article

Weighted Approximation by the 𝒒 −Szász−Schurer−Beta Type Operators

Volume: 28 Number: 2 June 22, 2015
EN

Weighted Approximation by the 𝒒 −Szász−Schurer−Beta Type Operators

Abstract

In this study, we investigate approximation properties of a Schurer type generalization of q-Szász-beta type operators. We estimate the rate of weighted approximation of these operators for functions of polynomial growth on the interval [0,∞).

Keywords

References

  1. LupaƟ, A., A −analogue of the Bernstein operator, Seminar on numerical and statistical calculus, University of Cluj-Napoca 9 (1987) 85-92.
  2. Phillips, G. M.,Bernstein polynomials based on the q-integers, Ann. Numer. Math. 4 (1997) 511-518.
  3. Doğru, O. and Gupta, V., Monotonicity and the asymptotic estimate of Bleimann Butzer and Hahn operators based on q -integers, Georgian Math. J. 12 (2005) (3) 415-422.
  4. Doğru, O. and Gupta, V., Korovkin-type approximation properties of bivariate −Meyer- König and Zeller operators, Calcolo 43 (1) (2006) 51-63.
  5. Gupta, V. and Aral, A., Convergence of the −analogue of Szász-beta operators, Appl. Math. Comput., 216 (2) (2010) 374-380.
  6. Gupta, V. and Karslı, H., Some approximation properties by Szåsz -Mirakyan-Baskakov- Stancu operators, Lobachevskii J. Math. 33(2) (2012) 175-182.
  7. YĂŒksel, İ., Approximation by −Phillips operators, Hacet. J. Math. Stat. 40 (2011) no. 2, 191-201.
  8. YĂŒksel,·İ., Direct results on the −mixed summation integral type operators, J. Appl. Funct. Anal. (2) (2013) 235-245.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

June 22, 2015

Submission Date

August 27, 2014

Acceptance Date

-

Published in Issue

Year 2015 Volume: 28 Number: 2

APA
YĂŒksel, İ., & Dinlemez, Ü. (2015). Weighted Approximation by the 𝒒 −SzĂĄsz−Schurer−Beta Type Operators. Gazi University Journal of Science, 28(2), 231-238. https://izlik.org/JA25TN82KA
AMA
1.YĂŒksel İ, Dinlemez Ü. Weighted Approximation by the 𝒒 −SzĂĄsz−Schurer−Beta Type Operators. Gazi University Journal of Science. 2015;28(2):231-238. https://izlik.org/JA25TN82KA
Chicago
YĂŒksel, İsmet, and ÜlkĂŒ Dinlemez. 2015. “Weighted Approximation by the 𝒒 −SzĂĄsz−Schurer−Beta Type Operators”. Gazi University Journal of Science 28 (2): 231-38. https://izlik.org/JA25TN82KA.
EndNote
YĂŒksel İ, Dinlemez Ü (June 1, 2015) Weighted Approximation by the 𝒒 −SzĂĄsz−Schurer−Beta Type Operators. Gazi University Journal of Science 28 2 231–238.
IEEE
[1]İ. YĂŒksel and Ü. Dinlemez, “Weighted Approximation by the 𝒒 −SzĂĄsz−Schurer−Beta Type Operators”, Gazi University Journal of Science, vol. 28, no. 2, pp. 231–238, June 2015, [Online]. Available: https://izlik.org/JA25TN82KA
ISNAD
YĂŒksel, İsmet - Dinlemez, ÜlkĂŒ. “Weighted Approximation by the 𝒒 −SzĂĄsz−Schurer−Beta Type Operators”. Gazi University Journal of Science 28/2 (June 1, 2015): 231-238. https://izlik.org/JA25TN82KA.
JAMA
1.YĂŒksel İ, Dinlemez Ü. Weighted Approximation by the 𝒒 −SzĂĄsz−Schurer−Beta Type Operators. Gazi University Journal of Science. 2015;28:231–238.
MLA
YĂŒksel, İsmet, and ÜlkĂŒ Dinlemez. “Weighted Approximation by the 𝒒 −SzĂĄsz−Schurer−Beta Type Operators”. Gazi University Journal of Science, vol. 28, no. 2, June 2015, pp. 231-8, https://izlik.org/JA25TN82KA.
Vancouver
1.İsmet YĂŒksel, ÜlkĂŒ Dinlemez. Weighted Approximation by the 𝒒 −SzĂĄsz−Schurer−Beta Type Operators. Gazi University Journal of Science [Internet]. 2015 Jun. 1;28(2):231-8. Available from: https://izlik.org/JA25TN82KA