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Peter O.'s user avatar
Peter O.
  • Member for 3 years, 11 months
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revised
Bounds on the expectation of a function of a hypergeometric random variable: A "Jensen gap"
added 21 characters in body
revised
Bounds on the expectation of a function of a hypergeometric random variable: A "Jensen gap"
added 15 characters in body
revised
Bounds on the expectation of a function of a hypergeometric random variable: A "Jensen gap"
added 67 characters in body
revised
Bounds on the expectation of a function of a hypergeometric random variable: A "Jensen gap"
rewrite question section
comment
Explicit bounds on the difference between Bernstein polynomials
Indeed, $|B_{2n}(f) - B_n(f)| \le 2M/n$ whenever $|B_n(f) - f| \le M/n$ (Ditzian and May, A Saturation Result for Combinations of Bernstein Polynomials, Tôhoku Math. J. 28 [1976]), answering question 2.
revised
Explicit bounds on the difference between Bernstein polynomials
added 3 characters in body
comment
Explicit bounds on the difference between Bernstein polynomials
Thus, the answers to 1, 3, and 4 are "no". I thought I found a rate of $O(1/n^2)$, but I had written the numerical code for it wrong.
accepted
Explicit bounds on the difference between Bernstein polynomials
revised
Explicit bounds on the difference between Bernstein polynomials
added 4 characters in body
revised
Explicit bounds on the difference between Bernstein polynomials
deleted 110 characters in body
asked
Explicit bounds on the difference between Bernstein polynomials
revised
A conjecture on consistent monotone sequences of polynomials in Bernstein form
deleted 490 characters in body
revised
Bounds on the expectation of a function of a hypergeometric random variable: A "Jensen gap"
added 26 characters in body
revised
Bounds on the expectation of a function of a hypergeometric random variable: A "Jensen gap"
edited body
revised
Bounds on the expectation of a function of a hypergeometric random variable: A "Jensen gap"
edited body
revised
Bounds on the expectation of a function of a hypergeometric random variable: A "Jensen gap"
added 286 characters in body
revised
Bounds on the expectation of a function of a hypergeometric random variable: A "Jensen gap"
added 1071 characters in body
revised
Bounds on the expectation of a function of a hypergeometric random variable: A "Jensen gap"
add assumption since otherwise $W_n$ may converge arbitrarily slowly
revised
Bounds on the expectation of a function of a hypergeometric random variable: A "Jensen gap"
add assumption since otherwise $W_n$ may converge arbitrarily slowly
revised
Bounds on the expectation of a function of a hypergeometric random variable: A "Jensen gap"
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