Log-concavity and lc-positivity
Witryna13 sie 2014 · There is also a term called log log concavity mentioned in the paper . These forms of stronger log concavity or convexity put tighter bounds on the … WitrynaIt is double LC-positive if both triangles {a(n, k)} and {a(n, n − k)} are LC-positive. We show that if {a(n, k)} is LC-positive, then the log-concavity of the sequence {xk} implies that of the sequence {zn} defined by zn = ∑ n k=0 a(n, k)xk; and if {a(n, k)} is double LC-positive, then the log-concavity of sequences {xk} and {yk} implies ...
Log-concavity and lc-positivity
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WitrynaA triangle {a(n,k)}0≤k≤n of nonnegative numbers is LC-positive if for each r, the sequence of polynomials ∑nk=ra(n,k)qk is q-log-concave. It is double LC-positive if both triangles {a(n,k)} and {a(n,n−k)} are LC-positive. We show that if {a(n,k)} is LC-positive then the log-concavity of the sequence {xk} implies that of the sequence {zn} defined by … WitrynaLog-concavity and LC-positivity by Yi Wang, Yeong-nan Yeh Venue: J. Combin. Theory Ser. A: Add To MetaCart. Tools. Sorted by: Results 1 - 10 of 17. Next 10 →. On the log-convexity of combinatorial sequences ... On the entropy and log-concavity of compound Poisson measures
WitrynaExamples of double LC-positive triangles include the constant triangle and the Pascal triangle. We also give a generalization of a result of Liggett that is used to prove a conjecture of Pemantle on characteristics of negative dependence. WitrynaA triangle {a(n,k)}0 k n of nonnegative numbers is LC-positive if for each r, the sequence of polynomials n k=r a(n,k)q k is q-log-concave. It is double LC-positive …
WitrynaAbstract. In this paper, we present some criteria for the 2- q -log-convexity and 3- q -log-convexity of combinatorial sequences, which can be regarded as the first column of a certain infinite triangular array [ A n, k ( q)] n, k ≥ 0 of polynomials in q with nonnegative coefficients satisfying the recurrence relation A n, k ( q) = A n − 1 ... WitrynaWe also introduce the concept of q-log-convexity and establish the link with linear transformations preserving the log-convexity. MSC: 05A20; 11B73; 11B83; 11B37 ... Log-concavity and LC-positivity by Yi Wang, Yeong-nan Yeh - …
Witryna31 mar 2011 · Recently, Su et al in [14] gave an answer to a question of Sagan about strong q-log-concavity of certain sequences of symmetric functions, they proved that the sequences {e k0−jβ (n 0 + jα)} j ...
Witryna8 kwi 2005 · Abstract: A triangle $\{a(n,k)\}_{0\le k\le n}$ of nonnegative numbers is LC-positive if for each $r$, the sequence of polynomials $\sum_{k=r}^n a(n,k)q^k$ is $q$ … tailgate pad for bikes reviewWitryna5 mar 2024 · It is a good way to obtain the log-concavity or log-convexity by some operators. For instance, Davenport and Pólya ... Log-concavity and LC-positivity. J. Comb. Theory A 114, 195–210 (2007) MathSciNet MATH Google Scholar Wang, Y., Yeh, Y.-N.: Polynomials with real zeros and P ólya frequency sequences. J. Comb. Theory … twilight 5 streaming vf complet gratuitWitrynaWe show that if $\{a(n,k)\}$ is LC-positive then the log-concavity of the sequence $\{x_k\}$ implies that of the sequence $\{z_n\}$ defined by … tailgate pad for ford maverickWitrynaJournal of Combinatorial Theory Series A. Periodical Home; Latest Issue; Archive; Authors; Affiliations; Home Browse by Title Periodicals Journal of Combinatorial Theory Series A Vol. 114, No. 2 Log-concavity and LC-positivity Browse by Title Periodicals Journal of Combinatorial Theory Series A Vol. 114, No. 2 Log-concavity and LC … twilight 5th movieWitrynaHow they've been cited. 433. 3 tailgate packages highland parkWitryna1 lut 2007 · A triangle {a(n,k)}"0"=<"k"=<"n of nonnegative numbers is LC-positive if for each r, the sequence of polynomials @__ __"k"="r^na(n,k)q^k is q-log-concave. It is … twilight 5 trailer itaWitryna1 lis 2013 · Abstract. Let the polynomial g (x)=∑ i=0 k b i x i with nonnegative coefficients be symmetric and log-concave. Given a nonnegative sequence {a i } i=0 n , we present a sufficient condition ... twilight 5 مترجم