Results 1 to 10 of about 1,455,811 (291)
On general partial Gaussian sums
Journal of Inequalities and Applications, 2016 Let q ≥ 2 $q\geq2$ be a fixed integer, A = A ( q ) ≤ q $A=A(q)\leq q$ , B = B ( q ) ≤ q $B=B(q)\leq q$ , and H = H ( q ) ≤ q $H=H(q)\leq q$ . Define ħ ( A , B , H ) = { a ∈ Z ∣ ( a , q ) = 1 , a b ≡ 1 ( mod q ) , 1 ≤ a ≤ A , 1 ≤ b ≤ B , | a − b | ≤ H } .
Ganglian Ren +2 more
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Two-dimensional limit series in ultraspherical Jacobi polynomials and their approximative properties [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 Let $C[-1,1]$ be the space of functions continuous on the segment $[-1,1]$, $C[-1,1]^2$ be the space of functions continuous on the square $[-1,1]^2$. We denote by $P_n^\alpha(x)$ the ultraspherical Jacobi polynomials.
Guseinov, Ibraghim G. +1 more
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IEEE Access, 2023 A novel data structure that enables the storage and retrieval of linear array numeric data with logarithmic time complexity updates, range sums, and rescaling is introduced and studied.
Matthew Cushman
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On Partial Sum of Tribonacci Numbers [PDF]
International Journal of Mathematics and Mathematical Sciences, 2015 We study the sumst(k,r)=∑i=0tTki+rofkstep apart Tribonacci numbers for any1≤r≤k. We prove thatst(k,r)satisfies certain Tribonacci rulest(k,r)=akst-1(k,r)+bkst-2(k,r)+st-3(k,r)+λwith integersak,bk,ck, andλ.
Eunmi Choi, Jiin Jo
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On the Mean Range of Partial Sums of a Finite Number of Random Variables [PDF]
The Egyptian Statistical Journal, 1974 The problem of determining the mean of the range of partial sums of random variables is important in planning the storage capacity of reservoirs under the assumption of infinite storage capacity. In this paper, new formulae for the mean of the range (and
A.A. Anis, S.M. El-Gayar
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Partially Coherent Direct Sum Channels [PDF]
Quantum, 2021 We introduce Partially Coherent Direct Sum (PCDS) quantum channels, as a generalization of the already known Direct Sum quantum channels. We derive necessary and sufficient conditions to identify the subset of those maps which are degradable, and provide a simplified expression for their quantum capacities.
Stefano Chessa, Vittorio Giovannetti
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On weak laws of large numbers for maximal partial sums of pairwise independent random variables
Comptes Rendus. Mathématique, 2023 This paper develops Rio’s method [11] to prove the weak law of large numbers for maximal partial sums of pairwise independent random variables. The method allows us to avoid using the Kolmogorov maximal inequality.
Thành, Lê Vǎn
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Математичні Студії, 2022 In the present work, we study problem related to the approximation of continuous $2\pi$-periodic functions by linear means of their Fourier series. The simplest example of a linear approximation of periodic function is the approximation of this function ...
O. G. Rovenska
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Approximation of analytic functions by repeated de la Vallee Poussin sums [PDF]
Компьютерные исследования и моделирование, 2019 The paper deals with the problems of approximation of periodic functions of high smoothness by arithmetic means of Fourier sums. The simplest and natural example of a linear process of approximation of continuous periodic functions of a real variable is ...
Olga G Rovenska
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Partial Gaussian sums III [PDF]
Glasgow Mathematical Journal, 1989 For integers a, N and H > 0 writewhere ϰ denotes a non-principal Dirichlet character modulo the positive integer k and e(y) denotes e2πiy.
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