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- W2092307355 abstract "Let I=[a,b]⊂R, let 1<p⩽q<∞, let u and v be positive functions with u∈Lp′(I), v∈Lq(I) and let T:Lp(I)→Lq(I) be the Hardy-type operator given by(Tf)(x)=v(x)∫axf(t)u(t)dt,x∈I. We show that the Bernstein numbers bn of T satisfylimn→∞nbn=cpq(∫I(uv)rdt)1/r,1/r=1/p′+1/q, where cpq is an explicit constant depending only on p and q." @default.
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- W2092307355 date "2007-01-01" @default.
- W2092307355 modified "2023-09-27" @default.
- W2092307355 title "Bernstein widths of Hardy-type operators in a non-homogeneous case" @default.
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- W2092307355 doi "https://doi.org/10.1016/j.jmaa.2006.02.025" @default.
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