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Log-concavity and lc-positivity

WitrynaWe 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. 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 ...

Log-concavity and unimodality of compound polynomials

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... Witryna15 lip 2012 · Log-concave sequences of symmetric functions and analogs of the Jacobi–Trudi determinants. Trans. Amer. Math. Soc., 329 (1992), pp. 795-811. ... Log-concavity and LC-positivity. J. Combin. Theory Ser. A, 114 (2007), pp. 195-210. View PDF View article View in Scopus Google Scholar. ark wiki ark additions https://melissaurias.com

Log-concavity and LC-positivity

WitrynaWe 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 … 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 Witryna24 gru 2024 · LC is the acronym for log-concave, i.e., the condition xi−1xi+1 ≤x2 ifor sequences of nonnegative numbers (xk)k. LC-positivity is a property for the s … ark wiki angler gel

[math/0504164v4] Log-concavity and LC-positivity

Category:Preserving log-concavity and generalized triangles - NASA/ADS

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Log-concavity and lc-positivity

Log-concavity and LC-positivity - arxiv-vanity.com

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 ... 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 …

Log-concavity and lc-positivity

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Witryna1 lis 2013 · 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 , and if {a(n,k)} is double … 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 ...

WitrynaWe 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 …

Witrynak 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 … Witryna1 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, …

WitrynaSemantic Scholar extracted view of "Log-concavity and LC-positivity" by Yi Wang et al. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search 206,016,417 papers from all fields of …

Witryna8 kwi 2005 · Title: Log-concavity and LC-positivity. Authors: Yi Wang, Yeong-Nan Yeh. Download PDF Abstract: ... ark wiki argentavisWitrynaJournal 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 … ark wiki argentavis saddleWitryna8 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 … ark wiki araneoWitryna24 gru 2024 · Enzo Bonacci reviews the article by Moussa Ahmia and Hacène Belbachir: “Log-concavity and LC-positivity for generalized triangles” J. Integer Seq. 23, No. 5, Article 20.5.3, 18 p. ballu bsep-07hn1Witryna2 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 … ballu bsg 07Witryna8 kwi 2005 · 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 $q$-log … ballu bsg-07hn1_22yWitrynaAbstract. 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 ... ballu bspri-18hn1