Research Article

Voronovskaja Type Approximation Theorem For 𝒒 - Szász- Beta-Stancu Type Operators

Volume: 29 Number: 1 March 21, 2016
EN

Voronovskaja Type Approximation Theorem For 𝒒 - Szász- Beta-Stancu Type Operators

Abstract

In this paper, we study on q-analoque of  Stancu-Szász-beta type operators. We give a Voronovskaja type theorem for q-Stancu-Szász-beta type operators.

Keywords

References

  1. A. Aral, V. Gupta and R. P. Agarwal, Applications of q-calculus in operator theory. (Springer, New York, 2013).
  2. : A. De Sole and V. G. Kac, On integral representations of q-gamma and q-beta functions. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 16(1), 11--29, (2005).
  3. : R. A. De Vore and G. G. Lorentz, Constructive Approximation (Springer, Berlin 1993).
  4. : Ü. Dinlemez, Convergence of the q-Stancu-Szasz-Beta type operators, J. Inequal. Appl., 2014:354, (2014).
  5. : O. Doğru and V. Gupta, Monotonicity and the asymptotic estimate of Bleimann Butzer and Hahn operators based on q-integers. Georgian Math. J. 12(3), 415--422, (2005).
  6. : O. Doğru and V. Gupta, Korovkin-type approximation properties of bivariate q -Meyer-König and Zeller operators. Calcolo 43(1), 51--63, (2006).
  7. : A. D. Gadzhiev, Theorems of the type of P. P. Korovkin type theorems, Math. Zametki 20(5), 781-786, 1976; English Translation, Math. Notes, 20 (5/6), 996-998,(1976).
  8. : N. K. Govil and V. Gupta, q-Beta-Szász-Stancu operators, Adv. Stud. Contemp. Math. 22(1), 117-123, (2012).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

March 21, 2016

Submission Date

November 12, 2015

Acceptance Date

-

Published in Issue

Year 2016 Volume: 29 Number: 1

APA
Dinlemez, Ü., & Yüksel, İ. (2016). Voronovskaja Type Approximation Theorem For 𝒒 - Szász- Beta-Stancu Type Operators. Gazi University Journal of Science, 29(1), 115-122. https://izlik.org/JA63GA36EU
AMA
1.Dinlemez Ü, Yüksel İ. Voronovskaja Type Approximation Theorem For 𝒒 - Szász- Beta-Stancu Type Operators. Gazi University Journal of Science. 2016;29(1):115-122. https://izlik.org/JA63GA36EU
Chicago
Dinlemez, Ülkü, and İsmet Yüksel. 2016. “Voronovskaja Type Approximation Theorem For 𝒒 - Szász- Beta-Stancu Type Operators”. Gazi University Journal of Science 29 (1): 115-22. https://izlik.org/JA63GA36EU.
EndNote
Dinlemez Ü, Yüksel İ (March 1, 2016) Voronovskaja Type Approximation Theorem For 𝒒 - Szász- Beta-Stancu Type Operators. Gazi University Journal of Science 29 1 115–122.
IEEE
[1]Ü. Dinlemez and İ. Yüksel, “Voronovskaja Type Approximation Theorem For 𝒒 - Szász- Beta-Stancu Type Operators”, Gazi University Journal of Science, vol. 29, no. 1, pp. 115–122, Mar. 2016, [Online]. Available: https://izlik.org/JA63GA36EU
ISNAD
Dinlemez, Ülkü - Yüksel, İsmet. “Voronovskaja Type Approximation Theorem For 𝒒 - Szász- Beta-Stancu Type Operators”. Gazi University Journal of Science 29/1 (March 1, 2016): 115-122. https://izlik.org/JA63GA36EU.
JAMA
1.Dinlemez Ü, Yüksel İ. Voronovskaja Type Approximation Theorem For 𝒒 - Szász- Beta-Stancu Type Operators. Gazi University Journal of Science. 2016;29:115–122.
MLA
Dinlemez, Ülkü, and İsmet Yüksel. “Voronovskaja Type Approximation Theorem For 𝒒 - Szász- Beta-Stancu Type Operators”. Gazi University Journal of Science, vol. 29, no. 1, Mar. 2016, pp. 115-22, https://izlik.org/JA63GA36EU.
Vancouver
1.Ülkü Dinlemez, İsmet Yüksel. Voronovskaja Type Approximation Theorem For 𝒒 - Szász- Beta-Stancu Type Operators. Gazi University Journal of Science [Internet]. 2016 Mar. 1;29(1):115-22. Available from: https://izlik.org/JA63GA36EU