References
- J. Boos, Classical and Modern Methods in Summability, Oxford University Press, New York, 2000.
- K. Demirci and S. Karakus, Statistical A-summability of positive linear operators, Math. Comput. Modelling 53 (2011), no. 1-2, 189-195. https://doi.org/10.1016/j.mcm.2010.08.003
- F. Dirik and K. Demirci, Korovkin-type approximation theorem for functions of two variables in statistical sense, Turkish J. Math. 34 (2010), no. 1, 73-83.
- O. Duman, E. Erkus, and V. Gupta, Statistical rates on the multivariate approximation theory, Math. Comput. Modelling 44 (2006), no. 9-10, 763-770. https://doi.org/10.1016/j.mcm.2006.02.009
- O. Duman, M. K. Khan, and C. Orhan, A-statistical convergence of approximating operators, Math. Inequal. Appl. 6 (2003), no. 4, 689-699.
- O. H. H. Edely and M. Mursaleen, On statistical A-summability, Math. Comput. Modelling 49 (2009), no. 3-4, 672-680. https://doi.org/10.1016/j.mcm.2008.05.053
- H. Fast, Sur la convergence statistique, Colloq. Math. 2 (1951), 241-244.
- A. D. Gadjiev and C. Orhan, Some approximation theorems via statistical convergence, Rocky Mountain J. Math. 32 (2002), no. 1, 129-138. https://doi.org/10.1216/rmjm/1030539612
- H. J. Hamilton, Transformations of multiple sequences, Duke Math. J. 2 (1936), no. 1, 29-60. https://doi.org/10.1215/S0012-7094-36-00204-1
- G. H. Hardy, Divergent Series, Oxford Univ. Press, London, 1949.
- P. P. Korovkin, Linear Operators and Approximation Theory, Hindustan Publ. Co., Delhi, 1960.
- F. Moricz, Statistical convergence of multiple sequences, Arch. Math. (Basel) 81 (2003), no. 1, 82-89. https://doi.org/10.1007/s00013-003-0506-9
- M. Mursaleen and O. H. H. Edely, Statistical convergence of double sequences, J. Math. Anal. Appl. 288 (2003), no. 1, 223-231. https://doi.org/10.1016/j.jmaa.2003.08.004
- M. Mursaleen and O. H. H. Edely, Almost convergence and a core theorem for double sequences, J. Math. Anal. Appl. 293 (2004), no. 2, 532-540. https://doi.org/10.1016/j.jmaa.2004.01.015
- R. F. Patterson and E. Savas, Korovkin and Weierstrass approximation via lacunary statistical sequences, J. Math. Stat. 1 (2005), no. 2, 165-167. https://doi.org/10.3844/jmssp.2005.165.167
- A. Pringsheim, Zur theorie der zweifach unendlichen zahlenfolgen, Math. Ann. 53 (1900), no. 3, 289-321. https://doi.org/10.1007/BF01448977
- G. M. Robison, Divergent double sequences and series, Trans. Amer. Math. Soc. 28 (1926), no. 1, 50-73. https://doi.org/10.1090/S0002-9947-1926-1501332-5
- D. D. Stancu, A method for obtaining polynomials of Bernstein type of two variables, Amer. Math. Monthly 70 (1963), no. 3, 260-264. https://doi.org/10.2307/2313121
- V. I. Volkov, On the convergence of sequences of linear positive operators in the space of continuous functions of two variables, Dokl. Akad. Nauk SSSR (N.S.) 115 (1957), 17-19.
Cited by
- Tauberian conditions for double sequences which are statistically summable (C,1,1) in fuzzy number space vol.33, pp.2, 2017, https://doi.org/10.3233/JIFS-162211
- Korovkin Second Theorem via -Statistical -Summability vol.2013, 2013, https://doi.org/10.1155/2013/598963
- Operators constructed by means of q-Lagrange polynomials and A-statistical approximation vol.219, pp.12, 2013, https://doi.org/10.1016/j.amc.2013.01.028
- Statistical approximation for new positive linear operators of Lagrange type vol.232, 2014, https://doi.org/10.1016/j.amc.2014.01.093
- Generalized weighted statistical convergence and application vol.219, pp.18, 2013, https://doi.org/10.1016/j.amc.2013.03.115
- Statistical Approximation for Periodic Functions of Two Variables vol.2013, 2013, https://doi.org/10.1155/2013/491768
- Approximation Properties For Modifiedq-Bernstein-Kantorovich Operators vol.36, pp.9, 2015, https://doi.org/10.1080/01630563.2015.1056914
- Some approximation results for generalized Kantorovich-type operators vol.2013, pp.1, 2013, https://doi.org/10.1186/1029-242X-2013-585
- Korovkin type approximation theorem for functions of two variables through statistical A-summability vol.2012, pp.1, 2012, https://doi.org/10.1186/1687-1847-2012-65