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A new Hilberttype integral inequality and the equivalent form,” International Journal of Mathematics and Mathematical Sciences, vol. 2006, Article ID 45378, 6 pages, 2006. Yongjin Li: Institute of Logic and Cognition
 Department of Mathematics, Sun YatSen University, Guangzhou
"... We give a new Hilberttype integral inequality with the best constant factor by estimating the weight function. And the equivalent form is considered. Copyright © 2006 Hindawi Publishing Corporation. All rights reserved. 1. ..."
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Cited by 3 (2 self)
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We give a new Hilberttype integral inequality with the best constant factor by estimating the weight function. And the equivalent form is considered. Copyright © 2006 Hindawi Publishing Corporation. All rights reserved. 1.
AN EXTENSION OF THE HILBERT–TYPE INEQUALITY AND ITS REVERSE
"... (communicated by J. Pečarić) Abstract. By introducing some parameters and the weight coefficient, one proves a new extension of the Hilberttype inequality with a best constant factor. The reverse, some equivalent forms and a number of new particular cases are considered. ..."
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(communicated by J. Pečarić) Abstract. By introducing some parameters and the weight coefficient, one proves a new extension of the Hilberttype inequality with a best constant factor. The reverse, some equivalent forms and a number of new particular cases are considered.
The Economics of Inequality
, 1975
"... Measures of inequality are used by economists to answer a wide range of questions. Is the distribution of income more equal than it was in the past? Are underdeveloped countries characterised by greater inequality than advanced countries? Do taxes lead to greater equality in the distri ..."
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Cited by 1236 (4 self)
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Measures of inequality are used by economists to answer a wide range of questions. Is the distribution of income more equal than it was in the past? Are underdeveloped countries characterised by greater inequality than advanced countries? Do taxes lead to greater equality in the distri
A New Hilberttype Integral Inequality with the Combination Kernel
"... By using the way of weight function, a new Hilberttype integral inequality with a combination kernel and a best constant factor is given, which is an extension of a Hilberttype integral inequality. As applications, the equivalent form and the reverse forms are considered. Mathematics Subject Cla ..."
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By using the way of weight function, a new Hilberttype integral inequality with a combination kernel and a best constant factor is given, which is an extension of a Hilberttype integral inequality. As applications, the equivalent form and the reverse forms are considered. Mathematics Subject
The HilbertType Integral Inequality with the System Kernel of Degree Homogeneous Form
 Kyungpook Mathematical Journal
"... Abstract. In this paper, the integral operator is used. We give a new Hilberttype integral inequality, whose kernel is the homogeneous form with degree and with three pairs of conjugate exponents and the best constant factor and its reverse form are also derived. It is shown that the results of t ..."
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Cited by 1 (1 self)
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Abstract. In this paper, the integral operator is used. We give a new Hilberttype integral inequality, whose kernel is the homogeneous form with degree and with three pairs of conjugate exponents and the best constant factor and its reverse form are also derived. It is shown that the results
ON A RELATION TO TWO BASIC HILBERTTYPE INTEGRAL INEQUALITIES
"... Abstract. In this paper, by using the way of weight function and the technic of real analysis, a new integral inequality with some parameters and a best constant factor is given, which is a relation to two basic Hilberttype integral inequalities. The equivalent form and the reverse forms are consid ..."
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Abstract. In this paper, by using the way of weight function and the technic of real analysis, a new integral inequality with some parameters and a best constant factor is given, which is a relation to two basic Hilberttype integral inequalities. The equivalent form and the reverse forms
On a Hilberttype integral inequality in the subinterval and its operator expression
 Banach J. Math. Anal
"... Abstract. In this paper, by using the methods of real analysis and functional analysis, a Hilberttype integral inequality in the subinterval (a,∞) (a> 0) with the homogeneous kernel of −λdegree and a best constant factor and its operator expression are given. As applications, a few improved res ..."
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Cited by 1 (1 self)
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Abstract. In this paper, by using the methods of real analysis and functional analysis, a Hilberttype integral inequality in the subinterval (a,∞) (a> 0) with the homogeneous kernel of −λdegree and a best constant factor and its operator expression are given. As applications, a few improved
A HilbertType Inequality with Some Parameters and the Integral in Whole Plane
, 2011
"... In this paper, by introducing some parameters and estimating the weight coefficient, we give a new Hilbert’s inequality with the integral in whole plane and with a nonhomogeneous and the equivalent form is given as well. The best constant factor is calculated by the way of Complex Analysis. ..."
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In this paper, by introducing some parameters and estimating the weight coefficient, we give a new Hilbert’s inequality with the integral in whole plane and with a nonhomogeneous and the equivalent form is given as well. The best constant factor is calculated by the way of Complex Analysis.
Research Article On a Multiple HilbertType Integral Inequality with the Symmetric Kernel
, 2007
"... We build a multiple Hilberttype integral inequality with the symmetric kernel K(x, y) and involving an integral operator T. For this objective, we introduce a norm ‖ x ‖ nα (x ∈ Rn+), two pairs of conjugate exponents (p,q) and (r,s), and two parameters. As applications, the equivalent form, the re ..."
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We build a multiple Hilberttype integral inequality with the symmetric kernel K(x, y) and involving an integral operator T. For this objective, we introduce a norm ‖ x ‖ nα (x ∈ Rn+), two pairs of conjugate exponents (p,q) and (r,s), and two parameters. As applications, the equivalent form
Research Article Parameterized HilbertType Integral Inequalities in the Whole Plane
"... Copyright © 2014 Qiliang Huang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. By the use of the way of real analysis, we esti ..."
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estimate the weight functions and give some new Hilberttype integral inequalities in the whole plane with nonhomogeneous kernels and multiparameters. The constant factors related to the hypergeometric function and the beta function are proved to be the best possible. We also consider the equivalent forms
Results 1  10
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