منابع مشابه
Partial sums of functions of bounded turning
In [6] it was shown that if f ∈ is starlike of order α, α= 0.294, . . . , so is the Libera integral operator F . We also know that (see, e.g., [1]) there are functions which are univalent or spiral-like in so that their Libera integral operators are not univalent or spiral-like in . Li and Owa [5] proved that if f ∈ is univalent in , then Fn(z) is starlike in |z| < 3/8. The number 3/8 is sharp....
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We consider problems of the following type. Assign independently to each vertex of the square lattice the value +1, with probability p, or ?1, with probability 1 ? p. We ask whether an innnite path exists, with the property that the partial sums of the 1s along are uniformly bounded, and whether there exists an innnite path with the property that the partial sums along are equal to zero innnite...
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Suppose al, a2,... is a sequence of real numbers with a,, oo. If lim sup( Xl + + X, )/a,, = a a.s. for every sequence of independent nonnegative uniformly bounded random variables Xi, X2,... satisfying some hypothesis condition A, then for every (arbitrarily-dependent) sequence of nonnegative uniformly bounded random variables Y1, Y2,..., lim sup( Y, + + Y, )/a,, = a a.s. on the set where the c...
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This problem comes in two distinct avors In query mode preprocessing is allowed and q is a query to be an swered on line In o line mode we are given the array A and a set of d rectangles q qm and we must com pute the m sums A qi Partial sum is a special case of the classical orthogonal range searching problem Given n weighted points in d space and a query d rectangle q compute the cumulative we...
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ژورنال
عنوان ژورنال: Proyecciones (Antofagasta)
سال: 2014
ISSN: 0716-0917
DOI: 10.4067/s0716-09172014000200006