[PDF] Top 20 A new Hilbert type integral inequality in the whole plane with the non homogeneous kernel
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A new Hilbert type integral inequality in the whole plane with the non homogeneous kernel
... Proof. The way of proving of Theorem 4 is similar to Theorem 3. By the reverse Hölder ’ s inequality [9], we have the reverse of (10) and (14). It is easy to obtain the reverse of (13). In view of the reverses of ... 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 new Hilbert-type integral inequality in the whole plane with the non-homogeneous kernel and a few ... 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 Hilbert Type Integral Inequality in the Whole Plane with the Homogeneous Kernel of Degree −2
... a new Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree −2 involving some parameters and a best constant ... See full document
11
An extended Hilbert’s integral inequality in the whole plane with parameters
... Hardy–Hilbert’s integral inequality, which with (1) is important in analysis and its applications ...general homogeneous kernel of degree –1 (see [1], Theorem ...a Hilbert-type ... See full document
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A more accurate half discrete reverse Hilbert type inequality with a non homogeneous kernel
... 3. Yang, B: Hilbert-Type Integral Inequalities. Bentham Science Publishers, Dubai (2009) 4. Yang, B: Discrete Hilbert-Type Inequalities. Bentham Science Publishers, Dubai (2011) 5. ... 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, Sharjah (2011) 5. ... See full document
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The necessary and sufficient conditions for the existence of a kind of Hilbert type multiple integral inequality with the non homogeneous kernel and its applications
... At present, there are lots of research results on Hilbert-type single integral inequality (cf. [1–14]). But there are relatively few studies on Hilbert-type multiple ... 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. Zhong and ... 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 ... See full document
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On a multidimensional version of the Hilbert type inequality in the whole plane
... Hilbert-type inequalities with a general homogeneous kernel in the whole plane. We derive a pair of equivalent inequalities, and we also establish the conditions under which the ... See full document
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On a Hilbert type inequality with a homogeneous kernel in ℝ2 and its equivalent form
... The inequality (1.1) may be classified into several types (discrete and integral etc.), which is of great importance in analysis and its applications [1,2]. Ever since the advent of inequality (1.1), ... See full document
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A multidimensional Hilbert type integral inequality
... multidimensional Hilbert-type inte- gral inequality with multi-parameters and the best possible constant factor related to the gamma ...of non-homogeneous and ... See full document
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A multidimensional discrete Hilbert-type inequality
... At the same time, a half-discrete Hilbert- type inequality with a general non-homogeneous kernel and a best constant factor is given by Yang [15].. In this paper, by using the way of wei[r] ... See full document
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Multidimensional Hilbert Type Inequalities with a Homogeneous Kernel
... → R, where k ≥ 2, with k being nonconjugate parameters. The techniques that will be used in the proofs are mainly based on classical real analysis, especially on the well-known H ¨older’s inequality and on ... See full document
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Hardy Hilbert Type Inequalities with a Homogeneous Kernel in Discrete Case
... Results in this paper will be based on the following general form of Hilbert’s and Hardy-Hilbert’s inequality proven in 5. All the measures are assumed to be σ-finite on some measure space Ω. Let 1/p 1/q 1 with p ... See full document
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A Hilbert Integral Type Inequality with Parameters
... A Hilbert-type integral inequality with parameters α and α, λ > 0 can be established by introducing a nonhomogeneous kernel ... See full document
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A Hilbert type integral inequality in the whole plane related to the kernel of exponent function
... a Hilbert-type integral inequality in the whole plane related to the kernel of expo- nent function with the intermediate variables (Theorem ...this type of ... See full document
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A multiple Hilbert type integral inequality with a non homogeneous kernel
... (). Inequality () is an extension of the results in [–] and ...some Hilbert-type operators relating ()-(); [] also considered a multiple Hilbert-type integral operator ... See full document
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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 can be ...some ... See full document
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