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Quantitative results on almost convergence of a sequence of positive linear operators. (English) Zbl 0351.41010

##### MSC:
 41A35 Approximation by operators (in particular, by integral operators)
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##### References:
 [1] Censor, E.: Quantitative results for positive linear approximation operators. J. approximation theory 4, 442-450 (1971) · Zbl 0233.41004 [2] Eisenberg, S.; Wood, B.: The order of approximation of unbounded functions by positive linear operators. SIAM J. Numer. anal. 9, 266-276 (1972) · Zbl 0242.41009 [3] Eisenberg, S.; Wood, B.: Approximating unbounded functions with linear operators generated by moment sequences. Studia math. 35, 299-304 (1970) · Zbl 0199.11601 [4] Hsu, L. C.: Approximation of non-bounded continuous functions by certain sequences of linear positive operators or polynomials. Studia math. 21, 37-43 (1961/1962) · Zbl 0102.05003 [5] Hsu, L. C.; Wang, J. H.: General increasing multiplier methods and approximation of unbounded continuous functions certain concrete polynomial operators. Dokl. akad. Nauk SSSR 156, 264-267 (1964) [6] Korovkin, P. P.: Linear operators and approximation theory. (1960) · Zbl 0094.10201 [7] King, J. P.; Swetits, J. J.: Positive linear operators and summability. Austral. J. Math. 11, 281-291 (1970) · Zbl 0199.45101 [8] Lorentz, G. G.: A contribution to the theory of divergent sequences. Acta math. 80, 167-190 (1948) · Zbl 0031.29501 [9] Morozov, E. N.: Convergence of a sequence of positive linear operators in the space of continuous $2{\pi}$ periodic functions of two variables. Kalinin GoS ped. Inst. ucen. Zap. 26, 129-149 (1958) [10] Shisha, O.; Mond, B.: The degree of convergence of linear positive operators. Proc. nat. Acad. sci. USA 60, 1196-1200 (1968) · Zbl 0164.07102 [11] Shisha, O.; Mond, B.: The degree of approximation to periodic functions by linear positive operators. J. approximation theory 1, 335-339 (1968) · Zbl 0169.39701 [12] Stancu, D. D.: Use of probabilistic methods in the theory of uniform approximation of continuous functions. Rev. roumaine math. Pures appl. 14, 673-691 (1969) · Zbl 0187.32502 [13] Walk, H.: Approximation durch folgen linearer positive operatoren. Arch. math. 20, 398-404 (1969) · Zbl 0191.07001 [14] Wood, B.: Convergence and almost convergence of certain sequences of positive linear operators. Studia math. 34, 113-119 (1970) · Zbl 0192.42001 [15] Volokov, V. I.: On the convergence of linear positive operators in the space of continuous functions of two variables. Dokl. akad. Nauk. SSSR 115, 17-19 (1957)