Results 21 to 30 of about 1,091 (210)
Quasiasymptotic expansion of distributions from S+' and the asymptotic expansion of the distributional Stieltjes transform [PDF]
International Journal of Mathematics and Mathematical Sciences, 1989 By following the approach of Droinov, Vladimirov and Zavialov we investigate the quasiasymptotic expansion of distributions and give Abelian type results for the ordinar asymptotic behaviour of the distributional Stieltjes transform of a distribution ...
S. Pilipovic
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Some results on Laplace-Stieltjes transform
Kuwait Journal of Science, 2013 Two general theorems on Laplace-Stieltjes transform are established. One theorem is a generalized convolution theorem, while the second is a generalized Parseval theorem for a operator with kernel k(s,t).
L. GALU, H. PRADO, S. KALLA
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Exchange Formulae for the Stieltjes–Poisson Transform over Weighted Lebesgue Spaces
AxiomsThis paper aims to develop exchange formulae for the Stieltjes–Poisson transform by using Mellin-type convolutions in the context of weighted Lebesgue spaces. A key result is the introduction of bilinear and continuous Mellin-type convolutions, expanding
Hari M. Srivastava +2 more
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Stieltjes transforms defined by \(C_0\)-semigroups
Journal of Computational and Applied Mathematics, 2010 Let \(X\) be a Banach space and let \(e^{-tA}\), \(t\geq 0\), be a uniformly bounded \(C_0\)-semigroup of operators on \(X\) with generator \(-A\). For any \(\alpha,\varepsilon> 0\) the author defines a generalized vector-valued Stieltjes transform by the formula \[ f\to S_\alpha f(\varepsilon)x= \int^\infty_0 f(t)(t+\varepsilon+ A)^{-\alpha} x\,dt, \]
Miana, Pedro J.
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Operators on the vanishing moments subspace and Stieltjes classes for M-indeterminate probability distributions [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – In this work the author gathers several methods and techniques to construct systematically Stieltjes classes for densities defined on R+. Design/methodology/approach – The author uses complex integration to obtain integrable functions with ...
Marcos López-García
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Local versions of the Wiener–Lévy theorem
Математичні Студії, 2022 Let $h$ be a real-analytic function on the neighborhood of some compact set $K$ on the plane, and let $f(y)$ be the Fourier--Stieltjes transform of a complex measure of a finite total variation without singular components on the Euclidean space.
S. Yu. Favorov
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Some New Inequalities on Laplace–Stieltjes Transforms Involving Logarithmic Growth
Fractal and Fractional, 2022 This article is devoted to exploring the properties on the logarithmic growth of entire functions represented by Laplace–Stieltjes transforms of zero order.
Hongyan Xu, Hong Li, Zuxing Xuan
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Some Relations between Stieltjes Transform and Hankel Transform with Applications
Communications in Advanced Mathematical Sciences, 2023 In the present paper four theorems connecting Stieltjes transform and Hankel transform are established. The theorems are general in nature. Four integral formulae involving special functions are obtained with the help of these theorems.
Virendra Kumar
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An Approximation Method for Variational Inequality with Uncertain Variables
Advances in Mathematical Physics, 2023 In this paper, a Stieltjes integral approximation method for uncertain variational inequality problem (UVIP) is studied. Firstly, uncertain variables are introduced on the basis of variational inequality.
Cunlin Li +4 more
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On two new characterizations of Steiltjes transforms for distributions
International Journal of Mathematics and Mathematical Sciences, 1985 Two new characterizations of the Stieltjes transform for distribution are developed, using two transformations on the space of distributions viz., dilation Un and exponential shifts T−p.
Sunil Kumar Sinha
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