Extremal problems for Lorentz classes of nonnegative polynomials in 𝐿² metric with Jacobi weight

Milovanović, Gradimir V.; Petković, Miodrag S.

doi:10.1090/S0002-9939-1988-0920987-2

Extremal problems for Lorentz classes of nonnegative polynomials in $L^2$ metric with Jacobi weight
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Proc. Amer. Math. Soc. 102 (1988), 283-289 Request permission

Abstract:

Let ${L_n}$ be the Lorentz class of nonnegative polynomials on $[-1,1]$. Extremal problems of Markov type, in ${L^2}$ norm with Jacobi weight, on the set ${L_n}$ or on its subset, are investigated.

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