Results 41 to 50 of about 756 (131)
Making proofs without Modus Ponens: An introduction to the combinatorics and complexity of cut elimination [PDF]
This paper is intended to provide an introduction to cut elimination which is accessible to a broad mathematical audience. Gentzen's cut elimination theorem is not as well known as it deserves to be, and it is tied to a lot of interesting mathematical ...
Carbone, Alessandra, Semmes, S.
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A discrete form of the theorem that each field endomorphism of R (Q_p) is the identity
Let K be a field and F denote the prime field in K. Let \tilde{K} denote the set of all r \in K for which there exists a finite set A(r) with {r} \subseteq A(r) \subseteq K such that each mapping f:A(r) \to K that satisfies: if 1 \in A(r) then f(1)=1, if
Tyszka, Apoloniusz
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On a relation between Hilbert’s inequality and a Hilbert-type inequality
An inequality relating Hilbert's inequality and a Hilbert-type inequality are established. The constant factor is the best possible.
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Some remarks on Hilbert's integral inequality
A generalization of the well-known Hilbert's inequality is given. Several other results of this type obtained in recent years follow as a special case of our result.
Lj. Marangunić, J. Pečarić
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An Extension of the Hilbert's Integral Inequality
It is shown that an extension of the Hilbert's integral inequality can be established by introducing two parameters and . The constant factors expressed by the Euler number and as well as by the Bernoulli number and , respectively, are proved to ...
Yu Zhou, Xuemei Gao, Mingzhe Gao
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A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications [PDF]
In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established.
Dragomir, Sever S +2 more
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On Further Analogs of Hilbert's Inequality
By introducing the function |lnx−lny|/(x+y+|x−y|), we establish new inequalities similar to Hilbert's type inequality for integrals. As applications, we give its equivalent form as well.
Yongjin Li, You Qian, Bing He
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On some classes of limit cycles of planar dynamical systems [PDF]
We consider two-dimensional smooth vector fields $dx/dt = P(x,y), dy/dt = Q(x,y)$ and estimate the maximal number of limit cycles with special properties which are defined by means of generalized Dulac and Cherkas functions.
Grin, Alexander, Schneider, Klaus R.
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On a New Extended Hardy–Hilbert’s Inequality with Parameters
In this paper, by introducing parameters and weight functions, with the help of the Euler−Maclaurin summation formula, we establish the extension of Hardy−Hilbert’s inequality and its equivalent forms.
Bicheng Yang, Shanhe Wu, Jianquan Liao
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On Some Extensions of Hardy-Hilbert's Inequality and Applications
By introducing some parameters we establish an extension of Hardy-Hilbert's integral inequality and the corresponding inequality for series. As an application, the reverses, some particular results and their equivalent forms are considered.
Azar LaithEmil
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