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.