[PDF] Top 20 The Hilbert Type Integral Inequalities with a Homogeneous Kernel of Degree
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The Hilbert Type Integral Inequalities with a Homogeneous Kernel of Degree
... the Hilbert-type integral inequalities with a homogeneous kernel of −λ-degree and their reverse forms and equivalent forms hold, here the homogeneous kernels Kx, y ... See full document
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A Hilbert Type Integral Inequality in the Whole Plane with the Homogeneous Kernel of Degree −2
... new Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree −2 involving some parameters and the best constant ... See full document
11
Equivalent conditions and applications of a class of Hilbert type integral inequalities involving multiple functions with quasi homogeneous kernels
... this integral kernel, by using the method and technique of weight coefficients, the equivalent conditions and the best constant factors for the validity of Hilbert-type integral ... See full document
12
A Hilbert type operator with a symmetric homogeneous kernel of two parameters and its applications
... the Hilbert-type linear operator whose kernel is symmetric and homogeneous of degree ...extended Hilbert-type inequal- ities by using the kernel k(x, y) = ... See full document
14
A multiple Hilbert type integral inequality with a non homogeneous kernel
... some Hilbert-type operators relating ()-(); [] also considered a multiple Hilbert-type integral operator with the homogeneous kernel of –n + -degree and the ... See full document
12
Hardy Hilbert Type Inequalities with a Homogeneous Kernel in Discrete Case
... general type of homogeneous kernels is ...a homogeneous function Kx, y of degree −λ, λ > 0, equality Ktx, ty t −λ Kx, y is satisfied for every t > ... See full document
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Some sharp inequalities for integral operators with homogeneous kernel
... Remark By using a standard dilation argument it is seen that the inequalities considered in Theorem can hold if and only if λ = –. However, by changing the norms in the left- hand sides in () and () to ... See full document
18
Recent Developments of Hilbert Type Discrete and Integral Inequalities with Applications
... the Hilbert-type inequality relates to a single symmetric homogeneous kernel of degree −1 such as 1/xy or | lnx/y|/xy and the best constant factor is a more brief form, which does not ... See full document
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A survey on the study of Hilbert type inequalities
... of Hilbert-type operators with their norms and ...discrete Hilbert-type operators with the general homogeneous kernels of non- negative number degree and two pairs of conjugate ... See full document
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On a generalization of a Hilbert type integral inequality in the whole plane with a hypergeometric function
... Abstract By introducing some parameters, we establish a generalization of the Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree –2λ and the best c[r] ... See full document
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On a Hilbert type inequality with a homogeneous kernel in ℝ2 and its equivalent form
... the kernel of (1.1) is homogeneous of degree ...negative degree homogeneous kernel of the parameterized Hilbert-type ... See full document
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Two kinds of Hilbert type integral inequalities in the whole plane
... of Hilbert-type integral inequalities in the whole plane with a non-homogeneous kernel and a homogeneous kernel are ... See full document
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A more accurate half discrete Hilbert type inequality with a non homogeneous kernel
... 3. Yang, B: Hilbert-Type Integral Inequalities. Bentham Science Publishers, Sharjah (2009) 4. Yang, B: Discrete Hilbert-Type Inequalities. Bentham Science Publishers, ... See full document
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A Hilbert type integral inequality in the whole plane with a non homogeneous kernel and a few parameters
... a homogeneous kernel of degree –, in , A survey of the study of Hilbert-type inequalities with the homogeneous kernels of degree negative numbers and some ... See full document
9
On Hardy type integral inequalities with the gamma function
... Hardy-type integral inequalities with the non-homogeneous kernel and parameters are obtained by Theorem , ...of homogeneous kernel are assumed by Corollary - ...main ... See full document
17
A new more accurate half discrete Hilbert type inequality
... half-discrete Hilbert-type inequalities is a new direction and has gradually heated ...half-discrete Hilbert-type in- equalities with the non-homogeneous kernel, which ... See full document
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A half discrete Hilbert type inequality with a homogeneous kernel and an extension
... half-discrete Hilbert-type inequalities with the non-homogeneous kernels, Hardy et ...half-discrete Hilbert ’ s inequality with the best constant factor B(l 1 , l 2 )(l, l 1 >0, 0 ... See full document
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On a Multiple Hilbert Type Integral Inequality with the Symmetric Kernel
... tions, the equivalent form, the reverse forms, and some particular inequalities are given. We also prove that the constant factors in the new inequalities are all the best possible. Copyright © 2007 W. ... See full document
17
On a Hilbert Type Operator with a Symmetric Homogeneous Kernel of1 Order and Applications
... symmetric homogeneous kernel of − 1-order satisfying condition (ii) of Theorem ...equivalent inequalities with the symmetric homo- geneous kernel of − ...new Hilbert-type ... See full document
9
An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel
... In this paper, by the use of the weight coefficients, the transfer formula and the technique of real analysis, an extended multidimensional Hardy–Hilbert–type inequality with a general homogeneous ... See full document
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