Results 11 to 20 of about 622,497 (296)
On Indefinite Sums Weighted by Periodic Sequences [PDF]
Results in Mathematics, 2019 For 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 $p\in\{0,\ldots,q-1\}$. When explicit expressions for the latter sums are available, this formula immediately provides explicit expressions ...
MARICHAL, Jean-Luc
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A note on convergence of weighted sums of random variables [PDF]
International Journal of Mathematics and Mathematical Sciences, 1985 Under uniform integrability condition, some Weak Laws of large numbers are established for weighted sums of random variables generalizing results of Rohatgi, Pruitt and Khintchine.
Xiang Chen Wang, M. Bhaskara Rao
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Sums and Products of Weighted Shifts
Canadian Mathematical Bulletin, 2001 AbstractIn 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. As well, we classify products of weighted shifts, as well as sums and limits of the resulting operators.
Laurent W. Marcoux
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Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables [PDF]
Journal of Sciences, Islamic Republic of Iran, 2007 Let be a sequence of arbitrary random variables with and , for every and be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for ...
M. Amini
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Strong stability of weighted sums of NA random variables [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 We study the almost sure (strong) stability of weighted sums of NA random variables and obtain some new results which extend earlier results of Matula (1992), Chow and Teicher (1971), Jamison et al. (1965), and Petrov (1975).
Gan Shixin
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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 deduced.
Ge Li, Liu Sanyang, Miao Yu
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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
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Sums of weighted averages of gcd-sum functions, II [PDF]
Rocky Mountain Journal of Mathematics, 2020 17 ...
Kiuchi, Isao, Saad Eddin, Sumaia
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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
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On Weighted Remainder Form of Hardy-Type Inequalities [PDF]
, 2009 We use different approaches to study a generalization of a result of Levin and Stečkin concerning an inequality analogous to Hardy’s inequality.
Gao, Peng
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