Approximation, Probability, and Related Fields by José A. Adell, Jesús de la Cal (auth.), George Anastassiou,

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  • January 31, 2017
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G(M). 1:0 E M, r> 1. = ((L(IIX - xoll"))(Xo))l/r Xo . (L(l))(xo) , Vxo EM. (62) Let IE G(M). Then IILI - Illp ~ 11/1100 ·IIL1 - 111p +Wl(f; r ·IIFllp) 'IIL(l)lloo . [(Jt(M))l/ P Note that °< 1IFIlp < +00. Proof. Let IE G(M). +;] . (63) Then from inequality (50) we have I(Lf)(xo) - l(xo)1 ~ I(L1)(xo) - '[l+~'F(Xo)], 11·I/(xo)1 +wl(f, h) .

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