Results 61 to 70 of about 827 (202)
On a new extended half-discrete Hilbert’s inequality involving partial sums
Journal of Inequalities and Applications, 2020 By applying the weight functions, the idea of introducing parameters, and Euler–Maclaurin summation formula, a new extended half-discrete Hilbert’s inequality with the homogeneous kernel and the beta, gamma function is given. The equivalent statements of
Xing Shou Huang, Ricai Luo, Bicheng Yang
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ESTIMATION OF THE CENTRAL MOMENTS OF A RANDOM VECTOR BASED ON THE DEFINITION OF THE POWER OF A VECTOR [PDF]
, 2017 The moments of a random vector based on the definition of the power of a vector, proposed by J. Tatar, are scalar and vector characteristics of a multivariate distribution.
Budny, Katarzyna
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Hilbert integral operator inequalities [PDF]
Mathematical Inequalities & Applications, 2000 The aim of this paper is to establish some new inequalities related to the Hilbert integral operator \[ T_\lambda(f, g)= \int^b_a \int^b_a K(x+\lambda, y+\lambda) f(x) g(y) dx dy \] with \(\lambda> 0\) and the general kernel \(K(x,y)\). The authors obtain significant extensions and improvements of some known results.
Kuang, Jichang, Rassias, Themistocles M.
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
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A Hilbert's Inequality with a Best Constant Factor
Journal of Inequalities and Applications, 2009 We give a new Hilbert's inequality with a best constant factor and some parameters.
Xie Zi-tian, Zeng Zheng
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On further strengthened Hardy-Hilbert's inequality
International Journal of Mathematics and Mathematical Sciences, 2004 We obtain an inequality for the weight coefficient ω(q,n) (q>1, 1/q+1/q=1, n∈ℕ) in the form ω(q,n)=:∑m=1∞(1/(m+n))(n/m)1 ...
Lü Zhongxue
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Transition maps at non-resonant hyperbolic singularities are o-minimal
, 2009 We construct a model complete and o-minimal expansion of the field of real numbers such that, for any planar analytic vector field X and any isolated, non-resonant hyperbolic singularity p of X, a transition map for X at p is definable in this structure.
Kaiser, Tobias +2 more
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Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
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On new strengthened Hardy-Hilbert's inequality
International Journal of Mathematics and Mathematical Sciences, 1998 In this paper, a new inequality for the weight coefficient ω(q,n) in the form ω(q,n):=∑m=1∞1m+n(nm)1/q 1,1p+1q=1,n∈N) is proved. This is followed by a strengthened version ofthe Hardy-Hilbert inequality.
Bicheng Yang, Lokenath Debnath
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Hilbert’s 17th problem in free skew fields
Forum of Mathematics, Sigma, 2020 This paper solves the rational noncommutative analogue of Hilbert’s 17th problem: if a noncommutative rational function is positive semidefinite on all tuples of Hermitian matrices in its domain, then it is a sum of Hermitian squares of noncommutative ...
Jurij Volčič
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