Approximation properties of the modified Lupas-Kantorovich type operators

Bo-yong Lian

doi:10.1051/matecconf/201713900091

All issues

Volume 139 (2017)

MATEC Web Conf., 139 (2017) 00091

References

Open Access

Issue		MATEC Web Conf. Volume 139, 2017 2017 3^rd International Conference on Mechanical, Electronic and Information Technology Engineering (ICMITE 2017)


Article Number		00091
Number of page(s)		5
DOI		https://doi.org/10.1051/matecconf/201713900091
Published online		05 December 2017

L. Lupas and A. Lupas, Polynomials of binomial type and approximation operators, Stud Univ Babes-Bolyai Math, 1987, 32(4): 61–69. [Google Scholar]
D. Miclaus, The revision of some results for Bernstein-Stancu type operators, Carpathian J Math, 2012, 28(2): 289–300. [Google Scholar]
V. Gupta and T.M. Rassias, Lupas-Durrmeyer operators based on polya distribution, Banach J Math Anal, 2014, 8(2): 146–155. [CrossRef] [Google Scholar]
P,N. Agrawal, N. Ispir and A. Kajla, Approximation properties of Lupas-Kantorovich operators based on polya distribution, Rendiconti del Circolo Matematico di Palermo Series 2, 2016, 65(2): 185–208. [Google Scholar]
J.P. King, Positive linear operators which preserve x², Acta Math Hungar, 2003, 99(3): 203–208. [Google Scholar]
O. Duman and M.A. Ozarslan, Szasz-Mirakjan type operators providing a better error estimation, Appl Math Lett, 2007, 20(12): 1184–1188. [CrossRef] [Google Scholar]
L. Rempulska and K. Tomczak, Approximation by certain linear operators preserving x², Turkish J Math, 2009, 33(3): 273–281. [Google Scholar]
A. Aral and V. Gupta, Applications of qcalculus in operator theory, Springer, New York, 2013. [Google Scholar]
Z. Ditzian and V. Totik, Moduli of Smoothness, Springer, New York, 1987. [Google Scholar]
R.A. Devore and G.G. Lorentz, Construtive Approximation, Springer-Verlag, Berlin, 1993. [Google Scholar]

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[1] L. Lupas and A. Lupas, Polynomials of binomial type and approximation operators, Stud Univ Babes-Bolyai Math, 1987, 32(4): 61–69. [Google Scholar]

[2] D. Miclaus, The revision of some results for Bernstein-Stancu type operators, Carpathian J Math, 2012, 28(2): 289–300. [Google Scholar]

[3] V. Gupta and T.M. Rassias, Lupas-Durrmeyer operators based on polya distribution, Banach J Math Anal, 2014, 8(2): 146–155. [CrossRef] [Google Scholar]

[4] P,N. Agrawal, N. Ispir and A. Kajla, Approximation properties of Lupas-Kantorovich operators based on polya distribution, Rendiconti del Circolo Matematico di Palermo Series 2, 2016, 65(2): 185–208. [Google Scholar]

[5] J.P. King, Positive linear operators which preserve x², Acta Math Hungar, 2003, 99(3): 203–208. [Google Scholar]

[6] O. Duman and M.A. Ozarslan, Szasz-Mirakjan type operators providing a better error estimation, Appl Math Lett, 2007, 20(12): 1184–1188. [CrossRef] [Google Scholar]

[7] L. Rempulska and K. Tomczak, Approximation by certain linear operators preserving x², Turkish J Math, 2009, 33(3): 273–281. [Google Scholar]

[8] A. Aral and V. Gupta, Applications of qcalculus in operator theory, Springer, New York, 2013. [Google Scholar]

[9] Z. Ditzian and V. Totik, Moduli of Smoothness, Springer, New York, 1987. [Google Scholar]

[10] R.A. Devore and G.G. Lorentz, Construtive Approximation, Springer-Verlag, Berlin, 1993. [Google Scholar]