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On fractional Fourier transform moments [PDF]
IEEE Signal Processing Letters, 2000 Based on the relation between the ambiguity function represented in a quasi-polar coordinate system and the fractional power spectra, the fractional Fourier transform moments are introduced. Important equalities for the global second-order fractional Fourier transform moments are derived and their applications for signal analysis are discussed.
Tatiana Alieva, M J Bastiaans
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Hausdorff moment problem and fractional moments
Applied Mathematics and Computation, 2010In probabilistic terms, the Hausdorff moment problem means to recover an unknown probability density function \(f\in L^2[0,1]\) from the knowledge of its associated sequence \(\{\mu_j\}^M_{j=0}\) of integer moments, that is, \(\mu_j=\int_0^1x^jf(x),j\geq0,\mu_0=1\). The authors propose a solution to the Hausdorff moment problem using fractional moments,
H. Gzyl, Tagliani, Aldo
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The discrete moment problem with fractional moments
Operations Research Letters, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anh Ninh, András Prékopa
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Stieltjes moment problem via fractional moments
Applied Mathematics and Computation, 2005The 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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Stieltjes moment problem and fractional moments
Applied Mathematics and Computation, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. Gzyl, Tagliani, Aldo
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Image analysis by fractional-order orthogonal moments
Information Sciences, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bin Xiao, Weisheng Li, Guoyin Wang
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Maxentropic solution of fractional moment problems
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. Gzyl +3 more
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On Fractional Moments of Dirichlet L-Functions
Lithuanian Mathematical Journal, 2005The 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, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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