Some L2 Markoff inequalities

Lawrence F. Shampine · Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics · 1965

A numb e r of auth ors hav e studi ed in equalities for polynomials of degree n of the form Itera ted use of s uc h in equaliti es give in equ aliti es for highe r derivativ es.This paper de te rmin es th e powe r p and co ns ta nt A for th e seco nd de rivatives for ce rt ain weighted L2 norm s .Th e it e rat ed inequaliti es are not s harp.Various au th ors have s tudi ed inequalities for poly-

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