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In this paper, we obtain a Korovkin type approximation theorem for double sequences of positive linear operators of two variables from Hw (K) to C (K) via A-statistical convergence. Also, we construct an example such that our new approximation result works but its classical case does not work. Furthermore, we study the rates of A-statistical convergence by means of the modulus of continuity.
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참고문헌 (17)
참고문헌 신청
A. Pringsheim / 1900 / Zur theorie der zweifach unendlichen zahlenfolgen / Math. Ann. 53 (3) : 289 ~ 321
E. Erku? / 2005 / A-statistical extension of the Korovkin type approximation theorem / Proc. Indian Acad. Sci. Math. Sci. 115 (4) : 499 ~ 508
E. Erku? / 2006 / Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials / Appl. Math. Comput. 182 (1) :
F. Altomare / 1994 / Korovkin-Type Approximation Theory and Its Applications / Walter de Gruyter & Co.
F. Moricz / 2003 / Statistical convergence of multiple sequences / Arch. Math. (Basel) 81 (1) : 82 ~ 89
E. Erku? / 2005 / A-statistical extension of the Korovkin type approximation theorem / Proc. Indian Acad. Sci. Math. Sci. 115 (4) : 499 ~ 508
E. Erku? / 2006 / Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials / Appl. Math. Comput. 182 (1) :
F. Altomare / 1994 / Korovkin-Type Approximation Theory and Its Applications / Walter de Gruyter & Co.
F. Moricz / 2003 / Statistical convergence of multiple sequences / Arch. Math. (Basel) 81 (1) : 82 ~ 89
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