Journal of Mathematics
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Study findings on mathematics are outlined in reports from D.K. Dimitrov and colleagues
April 20th, 2010
According to a study from Brazil, "Let p(x) be a polynomial of degree n with only real zeros x(1) <= x(2) <= ... <= x(n)."
"Consider their midpoints z(k) = (x(k) + x(k+1))/2 and the zeros xi(1) <= xi(2) <= ... <= xi(n-1) of p'(z). Motivated by a question posed by D. Farmer and R. Rhoades, we compare the smallest and largest distances between consecutive xi(k) to the ones between consecutive z(k)," wrote D.K. Dimitrov and colleagues.
The researchers concluded: "The corresponding problem for zeros and critical points of entire functions of order one from the Laguerre-Polya class is also discussed."
Dimitrov and colleagues published their...
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Source: Journal of Mathematics (2010-04-20)