Log-convexity
Witryna13 sie 2013 · The. -log-convexity of Domb's polynomials. In this paper, we prove the -log-convexity of Domb's polynomials, which was conjectured by Sun in the study of Ramanujan-Sato type series for powers of . As a result, we obtain the log-convexity of Domb's numbers. Our proof is based on the -log-convexity of Narayana polynomials … A logarithmically convex function f is a convex function since it is the composite of the increasing convex function $${\displaystyle \exp }$$ and the function $${\displaystyle \log \circ f}$$, which is by definition convex. However, being logarithmically convex is a strictly stronger property than … Zobacz więcej In mathematics, a function f is logarithmically convex or superconvex if $${\displaystyle {\log }\circ f}$$, the composition of the logarithm with f, is itself a convex function. Zobacz więcej • $${\displaystyle f(x)=\exp( x ^{p})}$$ is logarithmically convex when $${\displaystyle p\geq 1}$$ and strictly logarithmically convex when • Zobacz więcej Let X be a convex subset of a real vector space, and let f : X → R be a function taking non-negative values. Then f is: • Logarithmically convex if $${\displaystyle {\log }\circ f}$$ is … Zobacz więcej • Logarithmically concave function Zobacz więcej
Log-convexity
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Witryna27 mar 2015 · The graph of convex function is : In a book it is written that g ( x) = log x is strictly convex function. So i searched for graph of g ( x) = log x and found that. Though it has been said that g ( x) = log x is strictly convex function, comparing these two graph it seems to me g ( x) = log x is concave function . Where am i doing mistake ? Witryna4 lut 2024 · 1 定义. 如果函数 f:R^n\rightarrow R ，定义域内满足 f(x)>0 的点构成的 \mathrm{log}f 是凸的，那么称函数 f 为对数凸函数。 相应的，如果 log(f) 是凹的的，那么称函数 f 为对数凹函数。. 我们还可以不用对数描述对数凹凸性。设一函数 f:R^n\rightarrow R ，其定义域为一凸集且定义域内所有点都满足 f(x)>0 ，那么 ...
http://www.kurims.kyoto-u.ac.jp/EMIS/journals/SMA/v06/p15.pdf Witryna27 lip 2009 · A sequel to this paper will further consider the critical case and other ramifications of the log-convexity of the extinction time distribution. Type Research Article. Information Probability in the Engineering and Informational Sciences, Volume 1, Issue 3, July 1987, pp. 265 - 278.
Witryna在上一节中，我们提到了一个log-convex的函数一定是一个convex函数，一个log-concave的函数一定是一个concave函数。 因此如果一个函数是二阶可微的，那么我 … WitrynaLet [A n,k] n,k ⩾0 be an infinite lower triangular array satisfying the recurrencefor n ⩾ 1 and k ⩾ 0, where A 0,0 = 1, A 0, k = A k,–1 = 0 for k > 0. We present some criteria for the log-concavity of rows and strong q-log-convexity of generating functions of rows.Our results can be applied to many well-known triangular arrays, such as the Pascal …
WitrynaA note on log-convexity of power means József Sándor Babe³-Bolyai University, Department of Mathematics, Cluj-Napoca, Romania [email protected]
Witryna1 gru 2024 · The log–log convex properties of state matrices of positive systems, like the log–log convexity of the spectral r of a positive matrix in any of its entries ( … soltech truckingWitryna21 sie 2013 · It has been conjectured by Boros and Moll that these polynomials are infinitely log-concave. In this paper, we show that P m (a) is 2-log-concave for any m ≥ 2. Let d i (m) be the coefficient of a i in P m (a). We … soltec softwareWitryna7 lis 2013 · That is, taking the function $\log:(0,\infty)\rightarrow \mathbb{R}$ is the matrix inequality $$ \log\left((1-t)A+tB \right)\geq (1-t)\log A+ t \log B $$ satisf... Stack … soltecs boliviaWitryna13 sie 2014 · This is termed log-convexity (log-concavity). Determining log-convexity (log-concavity) allows us to exploit the same convex optimization procedures. … soltec smart grid readyWitryna1 paź 2007 · Hence the log-convexity of {c(n)} ngreaterorequalslant0 follows from Proposition 4.6. 4.2. Linear transformations preserving log-convexity In [46], Wang … solte in spanishWitryna18 lut 2009 · Log-convexity and log-concavity of hypergeometric-like functions. D.Karp, S.M. Sitnik. We find sufficient conditions for log-convexity and log-concavity for the … soltec services lübeckWitryna31 gru 2003 · In many applications, assumptions about the log-concavity of a probability distribution allow just enough special structure to yield a workable theory. This paper … soltek construction