Results 1 to 10 of about 21,411 (263)

On indefinite sums weighted by periodic sequences [PDF]

Results in Mathematics, 2019
peer reviewedFor any integer $q\geq 2$ we provide a formula to express indefinite sums of a sequence $(f(n))_{n\geq 0}$ weighted by $q$-periodic sequences in terms of indefinite sums of sequences $(f(qn+p))_{n\geq 0}$, where $p\in\{0,\ldots,q-1\}$.
MARICHAL, Jean-Luc
core   +5 more sources

Sums and Products of Weighted Shifts

Canadian Mathematical Bulletin, 2001
In this article it is shown that every bounded linear operator on a complex, infinite dimensional, separable Hilbert space is a sum of at most eighteen unilateral (alternatively, bilateral) weighted shifts.
Laurent W. Marcoux
core   +4 more sources

Strong laws for weighted sums of NA random variables

Metrika, 2007
Almost sure convergence, Weighted sums, NA,
Guang-Hui Cai, Cai Guang-Hui
exaly   +2 more sources

Complete convergence for weighted sums of pairwise independent random variables

Open Mathematics, 2017
In the present paper, we have established the complete convergence for weighted sums of pairwise independent random variables, from which the rate of convergence of moving average processes is ...
Li Ge, Sanyang Liu, Yu Miao
exaly   +2 more sources

Private Weighted Sum Aggregation [PDF]

IEEE Transactions on Control of Network Systems, 2022
As large amounts of data are circulated both from users to a cloud server and between users, there is a critical need for privately aggregating the shared data. This paper considers the problem of private weighted sum aggregation with secret weights, where an aggregator wants to compute the weighted sum of the local data of some agents.
Andreea B. Alexandru, George J. Pappas
openaire   +2 more sources

Sums of weighted averages of gcd-sum functions, II [PDF]

Rocky Mountain Journal of Mathematics, 2020
17 ...
Kiuchi, Isao, Saad Eddin, Sumaia
openaire   +3 more sources

Sums of weighted averages of gcd-sum functions [PDF]

International Journal of Number Theory, 2018
Let [Formula: see text] be the greatest common divisor of the integers [Formula: see text] and [Formula: see text]. In this paper, we give several interesting asymptotic formulas for weighted averages of the [Formula: see text]-sum function [Formula: see text] and the function [Formula: see text] for any positive integers [Formula: see text] and ...
Kiuchi, Isao, Saad Eddin, Sumaia
openaire   +1 more source

Convergence of the tail probability for weighted sums of negatively orthant dependent random variables [PDF]

, 2020
summary:In this research, strong convergence properties of the tail probability for weighted sums of negatively orthant dependent random variables are discussed.
Li, Linyan, Huang, Haiwu, Lu, Xuewen
core   +1 more source

On complete moment convergence for weighted sums of negatively superadditive dependent random variables [PDF]

, 2020
summary:In this work, the complete moment convergence and complete convergence for weighted sums of negatively superadditive dependent (NSD) random variables are studied, and some equivalent conditions of these strong convergences are established.
Huang, Haiwu, Lu, Xuewen
core   +1 more source

A NOTE ON WEIGHTED SUMS OF VIETORIS’ SEQUENCE

Mathematica Montisnigri
The aim of this paper is to formulate some different sums adapted to the Brousseau sum for Vietoris’ numbers. For this purpose, we firstly give our auxiliary results concerning the sequence of Vietoris’ numbers of order 2n and 2n + 1.
Halici, S., Gür, Z.B.
core   +4 more sources