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References
V. A. Baskakov, An example of a sequence of linear positive operators in the space of continuous functions,Dokl. Akad. Nauk,113 (1957), 249–251 (in Russian).
E.W. Cheney andA. Sharma, Bernstein power series,Can. J. Math.,16 (1964), 241–252.
H. Chernoff, A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations,Ann. Math. Stat.,23 (1952), 493–507.
W. Feller,An Introduction to Probability Theory and its Applications II, Wiley, 1966.
J. Gróf, A Szász Ottó-féle operátor approximációs tulajdonságairól,MTA III. Oszt. Közl.,20 (1971), 35–44 (in Hungarian).
T. Hermann, Approximation of unbounded functions on unbounded interval,Acta Math. Acad. Sci. Hungar.,29 (1977), 393–398.
E. L. Lehmann,Testing Statistical Hypotheses, Wiley, 1959.
M. Loève,Probability Theory, Van Nostrand 3rd Ed., (Princeton, N.J., 1963).
G. G. Lorentz,Bernstein polynomials, University of Toronto Press (Toronto, 1953).
W. Meyer-König andK. Zeller, Bernsteinsche Potenzreihen,Studia Math.,19 (1960), 89–94.
D. Stancu, Use of probabilistic methods in the theory of uniform approximation of continuous functions,Rev. Roum. Math. Pures et App.,14 (1969), 673–691.
G. Szegő,Orthogonal polynomials, Am. Math. Soc. Colloquium Publications 23, rev. ed. (1959).
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Khan, R.A. Some probabilistic methods in the theory of approximation operators. Acta Mathematica Academiae Scientiarum Hungaricae 35, 193–203 (1980). https://doi.org/10.1007/BF01896838
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DOI: https://doi.org/10.1007/BF01896838