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SHAPE PRESERVING PROPERTIES OF THE GENERALIZED BASKAKOV OPERATORS

Year 2016, Volume: 29 Issue: 1, 87 - 94, 21.03.2016

Mediha Örkçü , Prashant Kumar Patel , Vishnu Narayan Mishra

Abstract

The present paper deals with the shape preserving properties of a new Baskakov type operators. Our results are based on a function such as the

Keywords

Baskakov Operators Shape Preserving Properties; Convexity; Star-shaped.

References

  • Baskakov V. An instance of a sequence of linear positive operators in the space of continuous functions. Dokl. Akad.
  • Nauk. SSSR (N.S.) 1957; 113 (2): 249–251.
  • Cardenas-Morales D, Garrancho P, Ra¸sa I. Bernstein-type operators which preserve polynomials. Computers and
  • Mathematics with Applications. 2011; 62: 158-163.
  • Aral A, Inoan D, Ra¸sa I. On the generalized Szasz-Mirakyan operators. Results in Mathematics. 2014; 65 (3-4):
  • -452.
  • Mishra V-N, Khatri K, Mishra L-N. Statistical approximation by Kantorovich-type discrete q
  • in Di¤erence Equations. 2013; 2013 (1): 345.
  • Wang Y, Zhou Y. Shape Preserving Properties for Bernstein-Stancu operators. Journal of Mathematics. 2014; 2014:
  • Article ID 603694, 5 pages.
  • Örkcü M, Do¼gru O. q
  • matics Letters. 2011; 24 (9): 1588-1593.
  • Örkcü M,Approximation properties of bivariate extension of q-Szasz- Mirakjan-Kantorovich operators. Journal of In-
  • equalities and Applications. 2013; 324.
  • Wang H, Pu F, Wang K.Shape-Preserving and Convergence Properties for the q-Szász-Mirakjan Operators for Fixed
  • q 2 (0; 1) :Abstract and Applied Analysis, 2014; 2014: Article ID 563613, 8 pages.
  • Zhang C, Zhu Z. Preservation properties of the Baskakov Kantorovich operators. Computers and Mathematics with
  • Applications. 2009; 57: 1450–1455.
  • Aral A, Gupta V, Agarwal R-P. Applications of q
  • Agrawal P-N, Karsli H, Goyal M. Szász-Baskakov type operators based on q
  • Applications. 2014; 2014: 441.

Year 2016, Volume: 29 Issue: 1, 87 - 94, 21.03.2016

Mediha Örkçü , Prashant Kumar Patel , Vishnu Narayan Mishra

Abstract

References

  • Baskakov V. An instance of a sequence of linear positive operators in the space of continuous functions. Dokl. Akad.
  • Nauk. SSSR (N.S.) 1957; 113 (2): 249–251.
  • Cardenas-Morales D, Garrancho P, Ra¸sa I. Bernstein-type operators which preserve polynomials. Computers and
  • Mathematics with Applications. 2011; 62: 158-163.
  • Aral A, Inoan D, Ra¸sa I. On the generalized Szasz-Mirakyan operators. Results in Mathematics. 2014; 65 (3-4):
  • -452.
  • Mishra V-N, Khatri K, Mishra L-N. Statistical approximation by Kantorovich-type discrete q
  • in Di¤erence Equations. 2013; 2013 (1): 345.
  • Wang Y, Zhou Y. Shape Preserving Properties for Bernstein-Stancu operators. Journal of Mathematics. 2014; 2014:
  • Article ID 603694, 5 pages.
  • Örkcü M, Do¼gru O. q
  • matics Letters. 2011; 24 (9): 1588-1593.
  • Örkcü M,Approximation properties of bivariate extension of q-Szasz- Mirakjan-Kantorovich operators. Journal of In-
  • equalities and Applications. 2013; 324.
  • Wang H, Pu F, Wang K.Shape-Preserving and Convergence Properties for the q-Szász-Mirakjan Operators for Fixed
  • q 2 (0; 1) :Abstract and Applied Analysis, 2014; 2014: Article ID 563613, 8 pages.
  • Zhang C, Zhu Z. Preservation properties of the Baskakov Kantorovich operators. Computers and Mathematics with
  • Applications. 2009; 57: 1450–1455.
  • Aral A, Gupta V, Agarwal R-P. Applications of q
  • Agrawal P-N, Karsli H, Goyal M. Szász-Baskakov type operators based on q
  • Applications. 2014; 2014: 441.
There are 21 citations in total.

Details

Authors

Mediha Örkçü

Prashant Kumar Patel

Vishnu Narayan Mishra This is me

Publication Date March 21, 2016
Published in Issue Year 2016 Volume: 29 Issue: 1

Cite

APA Örkçü, M., Patel, P. K., & Mishra, V. N. (2016). SHAPE PRESERVING PROPERTIES OF THE GENERALIZED BASKAKOV OPERATORS. Gazi University Journal of Science, 29(1), 87-94. https://izlik.org/JA47DL67AK
AMA 1.Örkçü M, Patel PK, Mishra VN. SHAPE PRESERVING PROPERTIES OF THE GENERALIZED BASKAKOV OPERATORS. Gazi University Journal of Science. 2016;29(1):87-94. https://izlik.org/JA47DL67AK
Chicago Örkçü, Mediha, Prashant Kumar Patel, and Vishnu Narayan Mishra. 2016. “SHAPE PRESERVING PROPERTIES OF THE GENERALIZED BASKAKOV OPERATORS”. Gazi University Journal of Science 29 (1): 87-94. https://izlik.org/JA47DL67AK.
EndNote Örkçü M, Patel PK, Mishra VN (March 1, 2016) SHAPE PRESERVING PROPERTIES OF THE GENERALIZED BASKAKOV OPERATORS. Gazi University Journal of Science 29 1 87–94.
IEEE [1]M. Örkçü, P. K. Patel, and V. N. Mishra, “SHAPE PRESERVING PROPERTIES OF THE GENERALIZED BASKAKOV OPERATORS”, Gazi University Journal of Science, vol. 29, no. 1, pp. 87–94, Mar. 2016, [Online]. Available: https://izlik.org/JA47DL67AK
ISNAD Örkçü, Mediha - Patel, Prashant Kumar - Mishra, Vishnu Narayan. “SHAPE PRESERVING PROPERTIES OF THE GENERALIZED BASKAKOV OPERATORS”. Gazi University Journal of Science 29/1 (March 1, 2016): 87-94. https://izlik.org/JA47DL67AK.
JAMA 1.Örkçü M, Patel PK, Mishra VN. SHAPE PRESERVING PROPERTIES OF THE GENERALIZED BASKAKOV OPERATORS. Gazi University Journal of Science. 2016;29:87–94.
MLA Örkçü, Mediha, et al. “SHAPE PRESERVING PROPERTIES OF THE GENERALIZED BASKAKOV OPERATORS”. Gazi University Journal of Science, vol. 29, no. 1, Mar. 2016, pp. 87-94, https://izlik.org/JA47DL67AK.
Vancouver 1.Örkçü M, Patel PK, Mishra VN. SHAPE PRESERVING PROPERTIES OF THE GENERALIZED BASKAKOV OPERATORS. Gazi University Journal of Science [Internet]. 2016 Mar. 1;29(1):87-94. Available from: https://izlik.org/JA47DL67AK