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The discrete moment problem with fractional moments

Operations Research Letters, 2013
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Anh Ninh, András Prékopa
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Stieltjes moment problem and fractional moments

Applied Mathematics and Computation, 2010
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H. Gzyl, Tagliani, Aldo
exaly   +4 more sources

Stieltjes moment problem via fractional moments

Applied Mathematics and Computation, 2005
The authors extend a procedure for the reconstruction of probability density function from the knowledge of its infinite sequence of ordinary moments [cf. the authors, ibid. 144, No. 1, 61--74 (2003; Zbl 1029.44003)] from the case of distributions with finite positive support (Hausdorff case) to the case where the distribution has \([0,\infty ...
Novi Inverardi, Pier Luigi   +3 more
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Maxentropic solution of fractional moment problems

Applied Mathematics and Computation, 2006
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H. Gzyl   +3 more
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On Fractional Moments of Dirichlet L-Functions

Lithuanian Mathematical Journal, 2005
The authors prove the bound \[ c_1(q)T(\log T)^{k^2} \leq \int_0^T| L(1/2+it,\chi)| ^{2k}\,dt \leq c_2(q)T(\log T)^{k^2} \quad(0 < c_1(q) < c_1(q)),\tag{1} \] where \(T\to\infty, k = 1/n, n\in\mathbb N\), \(L(s,\chi)\) is a Dirichlet \(L\)-function with \(\chi(n)\) a character to the modulus \(q\).
Kačėnas, A.   +2 more
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Hausdorff moment problem and fractional moments: A simplified procedure

Applied Mathematics and Computation, 2011
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Novel fractional-order Jacobi moments and invariant moments for pattern recognition applications

Neural Computing and Applications, 2021
In this paper, we propose a new set of fractional-order continuous orthogonal moments for image representation. These are called fractional-order Jacobi moments (FrJMs) and are defined from the fractional-order orthogonal Jacobi polynomials. We also propose a method for the fast and precise calculation of FrJMs based on recursive calculations of ...
Omar El Ogri   +6 more
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Estimate of Fractional Moments of a Trigonometric Sum

Mathematical Notes, 2004
Suppose that \(n = \sum_{k=0}^\infty \varepsilon_k2^k\), where \(\varepsilon_k = 0, 1\), is the binary representation of positive integers \(n\). Split the set of positive integers into two nonintersecting classes as follows: \(\mathbb N_0 =\left\{n: n \in \mathbb N,\;\sum_{k=0}^\infty \varepsilon_k\equiv 0\pmod 2\right\}\) and \(\mathbb N_1 =\left\{n:
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Fractional-moment Capital Asset Pricing model

Chaos, Solitons & Fractals, 2009
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Li, Hui, Wu, Min, Wang, Xiao-Tian
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On fractional moments of Dirichlet L-functions, II

Lithuanian Mathematical Journal, 2006
This is Part II of the author's work on fractional moments of Dirichlet \(L\)-functions [Part III, ibid. 47, No. 2, 228--241 (2007; Zbl 1113.11052)]. Let \[ I_k(T,\chi) := \int_0^T| L(\textstyle{1\over2}+it,\chi)|^{2k}\,dt, \] and let \(\chi\) be a primitive character modulo \(q\) with the corresponding \(L\)-function \[ L(s,\chi) =\sum_{n=1}^\infty ...
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