Results 61 to 70 of about 93,877 (207)
A new multidimensional Hilbert-type inequality involving one partial sum
Journal of Inequalities and ApplicationsWe derive a novel multidimensional Hilbert-type inequality incorporating a partial sum, by employing transfer formulas and the Hermite–Hadamard inequality.
Xianyong Huang, Bicheng Yang, Bing He
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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AxiomsBy using the construction theorem of semi-discrete Hilbert-type inequalities with quasi-homogeneous kernels and real analysis techniques, this paper establishes a semi-discrete Hilbert-type inequality involving partial sums and variable upper limit ...
Yong Hong, Bing He, Qian Zhao
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On a class of Hilbert-type inequalities in the whole plane related to exponent function
Journal of Inequalities and Applications, 2021 By introducing a kernel involving an exponent function with multiple parameters, we establish a new Hilbert-type inequality and its equivalent Hardy form.
Minghui You
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An Extended Hilbert-Type Inequality with Two Internal Variables Involving One Partial Sums
Axioms, 2023 By the use of the techniques of analysis and some useful formulas, we give a new extension of Hilbert-type inequality with two internal variables involving one partial sums, which is a refinement of a published inequality.
Aizhen Wang, Bicheng Yang
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Generalized Landau-Pollak Uncertainty Relation
, 2007 The Landau-Pollak uncertainty relation treats a pair of rank one projection valued measures and imposes a restriction on their probability distributions. It gives a nontrivial bound for summation of their maximum values.
H. J. Landau +3 more
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Refinements of local fractional Hilbert-type inequalities
Ukrains’kyi Matematychnyi Zhurnal, 2022 UDC 517.5 We study the re nements of several well-known local fractional Hilbert-type inequalities by interpolating the Lebesgue norms of the local fractional Laplace transforms of the functions involved in the inequalities. As an application, the main results are compared with some our results previously known from the literature.
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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Properties of Classical and Quantum Jensen-Shannon Divergence
, 2009 Jensen-Shannon divergence (JD) is a symmetrized and smoothed version of the most important divergence measure of information theory, Kullback divergence.
A. F. T. Martins +20 more
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Hilbert-type inequalities in homogeneous cones
Rendiconti Lincei, Matematica e Applicazioni, 2021 We prove L^p-L^q bounds for the class of Hilbert-type operators associated with generalized powers Q^a in a homogeneous cone
Garrigós, Gustavo, Nana, Cyrille
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