Log-concavity and lc-positivity
WitrynaLog-concavity and LC-positivity. Article. Feb 2007; Wang Yi; Yeong-nan Yeh; A triangle {a(n,k)}0⩽k⩽n of nonnegative numbers is LC-positive if for each r, the sequence of polynomials is q-log ... 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
Log-concavity and lc-positivity
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Witryna8 kwi 2005 · A triangle of nonnegative numbers is LC-positive if for each , the sequence of polynomials is -log-concave. It is double LC-positive if both triangles and are LC-positive. We show that if is LC-positive then the log-concavity of the sequence … Witryna20 paź 2024 · We extend some results of Wang and Yeh, Log-concavity and LC-positivity, J. Combin. Theory Ser. A (2007), and show that if a(s) (n,k) is LC-positive then the log-concavity of the sequence {x(n ...
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 $q$ … Witryna1 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 ...
WitrynaGet full access to this article. View all available purchase options and get full access to this article. WitrynaA 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...
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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 ... drug pdeWitryna2 LC-positivity and preservation of log-concavity In this section, we give a relation between LC-positivity (resp., double LC-positivity) and the PLC property (resp., the … rava samoelaWitrynaA 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 … ravase amuzanteWitryna1 paź 2007 · This paper is devoted to the study of the log-convexity of combinatorial sequences. We show that the log-convexity is preserved under componentwise sum, under binomial convolution, and by the linear transformations given by the matrices of binomial coefficients and Stirling numbers of two kinds. drug pcp namesWitryna1 lut 2007 · We 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 z n = ∑ k = 0 n a (n, … drug pdbWitrynaWe extend some results of Wang and Yeh, Log-concavity and LC-positivity, J. Combin. Theory Ser. A (2007), and show that if a s (n,k) is LC-positive then the log-concavity of the sequence {x n} implies the log-concavity of the sequence {z n} defined by z n = ∑k = 0nsa s (n,k)x k. Applications related to ordinary multinomials are given. rava sample paperWitrynaWe 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 … drug pdr