Mathematical expectation of continuous functions of random variables. Smoothness and variance
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Continuous Function Mathematical Expectation
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Literature Cited
- 1.A. F. Timan, Approximation Theory of Functions of a Real Variable [in Russian], Fizmatgiz, Moscow (1960).Google Scholar
- 2.D. D. Stancu, “Use of probabilistic methods in the theory of uniform approximation of continuous functions,” Rev. Roumaine Math. Pures Appl.,14, No. 5, 673–691 (1969).Google Scholar
- 3.H. Whitney, “On functions with bounded n-th differences,” J. Math. Pures Appl.,36, No. 9, 67–95 (1957).Google Scholar
- 4.H. Berens and G. Lorentz, “Inverse theorems for Bernstein polynomials,” Indiana Univ. Math. J.,21, No. 3, 693–708 (1972).Google Scholar
- 5.H. Shapiro, “Some Tauberian theorems with applications to approximation theory,” Bull. Am. Math. Soc.,74, No. 3, 500–504 (1968).Google Scholar
- 6.P. L. Butzer and R. I. Nessel, Fourier Analysis and Approximation, Vol. 1, Academic Press, New York (1971).Google Scholar
- 7.M. Kac, “Une remarque sur les polynômes de M. S. Bernstein,” Stud. Math.,7, 49–51 (1938).Google Scholar
- 8.N. I. Akhiezer, Theory of Approximation, Ungar (1956).Google Scholar
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© Plenum Publishing Corporation 1977