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Uniform approximation by Szasz-Mirakjan type operators. (English) Zbl 0513.41013

MSC:
41A36Approximation by positive operators
41A65Abstract approximation theory
References:
[1]M. Becker, Global approximation theorems for Szász–Mirakjan and Baskakov operators in polynomial weight spaces,Indiana Univ. Math. J.,27 (1978), 127–142. · Zbl 0368.41024 · doi:10.1512/iumj.1978.27.27011
[2]M. Becker, An elementary proof of the inverse theorem for Bernstein polynomials,Aequationes Math.,19 (1979), 145–150. · Zbl 0444.41007 · doi:10.1007/BF02189862
[3]M. Becker and R. J. Nessel, An elementary approach to inverse approximation theorems,J. Approx. Theory,23 (1978), 99–103. · Zbl 0388.41010 · doi:10.1016/0021-9045(78)90094-1
[4]M. Becker and R. J. Nessel, Iteration von Operatoren und Saturation in lokal konvexen Räumen,Forschungsberichte des Landes Nordrhein-Westfalen Nr. 2470 (1975), 26–49.
[5]M. Becker, D. Kucharski, R. J. Nessel, Global Approximation Theorems for the Szász–Mirakjan Operators in Exponential Weight Sapces, In:Linear Spaces and Approximation (Proc. Conf. Oberwolfach, 1977), Birkhäuser Verlag, Basel.
[6]H. Berens and G. G. Lorentz, Inverse theorems for Bernstein polynomials,Indiana Univ. Math. J.,21 (1972), 693–708. · Zbl 0262.41006 · doi:10.1512/iumj.1972.21.21054
[7]G. H. Hardy,Divergent Series (Oxford, 1949).
[8]B. D. Boyanov and V. M. Veselinov, A note on the approximation of functions in an infinite interval by linear positive operators,Bull. Soc. Math. Roumanie,14 (62) (1970), 9–13.