Results 261 to 270 of about 7,135,246 (310)
Some of the next articles are maybe not open access.
Completely Convex Functions and Convergence
SIAM Journal on Mathematical Analysis, 1979A function $f(x)$ is completely convex (c.c.) on $[0,1]$ if $( - 1)^k f^{(2k)} (x) \geqq 0$ for $k \geqq 0$ and all x in $[0,1]$. This paper studies the convergence of the partial sums of the Maclaurin series of the function; in particular, how quickly the partial sums turn into a c.c. function. It is shown that no matter where the series is truncated,
openaire +2 more sources
Complete convergence for arrays
Periodica Mathematica Hungarica, 1992Let \(\{(X_{nk}\), \(1\leq k\leq n)\), \(n\geq 1\}\) be an array of rowwise independent random variables. We extend and generalize some recent results due to \textit{T.-C. Hu}, \textit{F. Móricz} and \textit{R. L. Taylor} [Acta Math. Hung. 54, No. 1/2, 153-162 (1989; Zbl 0685.60032)] concerning complete convergence, in the sense of \textit{P. L.
openaire +1 more source
Complete convergence for α-mixing sequences
Statistics & Probability Letters, 1993Let \(X_ n\) be a sequence of \(\alpha\)-mixing random variables with mean zero, uniformly bounded \(r\)-th moments and the mixing coefficient \(\alpha(n)\) and let \(S_ n\) denote the partial sum of the first \(n\) \(X\) variables. It is proved that for any \(\varepsilon>0\), \[ \sum^ \infty_{n=1}n^{p\alpha-2}P\left(\max_{i\leq n}| S_ i|\geq ...
openaire +1 more source
Chinese Annals of Mathematics, Series B, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shen, Aiting, Yao, Mei, Xiao, Benqiong
openaire +1 more source
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shen, Aiting, Yao, Mei, Xiao, Benqiong
openaire +1 more source
Complete Convergence of Weighted Sums of Martingale Differences and Statistical Applications
Bulletin of the Malaysian Mathematical Sciences Society, 2023Yu Miao, Mengying Shao
semanticscholar +1 more source
Asymmetric filter convergence and completeness
Quaestiones Mathematicae, 2013Completeness for metric spaces is traditionally presented in terms of convergence of Cauchy sequences, and for uniform spaces in terms of Cauchy filters. Somewhat more abstractly, a uniform space is complete if and only if it is closed in every uniform space in which it is embedded, and so isomorphic to any space in which it is densely embedded.
John Frith, Anneliese Schauerte
openaire +2 more sources
Completion of Schwartz Convergence Vector Spaces
Mathematische Nachrichten, 1985In Math. Nachr. 117, 37-49 (1984; Zbl 0568.46009), we have studied the category of \(L_ eL_ m\)-embedded Schwartz spaces, a category that contains all Hausdorff topological Schwartz spaces as well as all polar bornological Schwartz spaces in the sense of H. Hogbe-Nlend.
openaire +2 more sources
Complete Convergence of the Directed TSP
Mathematics of Operations Research, 1991Consider the random directed graph Gn whose vertices X1, …, Xn are independent uniformly distributed over [0, 1]2. For 1 ≤ i < j ≤ n, the orientation of the edge XiXj is selected at random, independently for each edge and independently of the Xi's. Denote by Un the length of the shortest path through Gn.
openaire +2 more sources
On complete convergence for arrays
Statistics & Probability Letters, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kruglov, Victor M. +2 more
openaire +2 more sources