[PDF] Top 20 A Hilbert type integral inequality in the whole plane with a non homogeneous kernel and a few parameters
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A Hilbert type integral inequality in the whole plane with a non homogeneous kernel and a few parameters
... Proof By the reverse Hölder’s inequality (cf. []), we have the reverses of () and (). It is easy to obtain the reverse of (). In view of the reverses of () and (), we ob- tain the reverse of (). On ... See full document
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A new Hilbert type integral inequality in the whole plane with the non homogeneous kernel
... the non-homogenous kernels have been studied in ...new Hilbert-type integral inequality in the whole plane with the non-homogenous kernel and a best constant ... See full document
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Two kinds of Hilbert type integral inequalities in the whole plane
... possible. Inequality () together with the discrete form is important in analysis and its applications ...introducing parameters, many extensions of () were given by Yang ...that inequality () is a ... See full document
11
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
8
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
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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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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
9
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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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
11
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 ...a few results in Theorem 351 of ...half-discrete Hilbert ’ s inequality with the best ... See full document
16
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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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
9
On a New Hilbert Type Intergral Inequality with the Intergral in Whole Plane
... some parameters and estimating the weight functions, we build a new Hilbert’s inequality with the homogeneous kernel of 0 order and the integral in whole ...equivalent ... See full document
8
A Hilbert type operator with a symmetric homogeneous kernel of two parameters and its applications
... suitable parameters and weight ...a Hilbert-type linear operator with a symmetric homogeneous kernel, one can obtain var- ious Hilbert-type inequalities with the best ... See full document
14
On Hardy type integral inequalities with the gamma function
... By means of real analysis and weight functions, we obtain a few equivalent conditions of two kinds of Hardy-type integral inequalities with the non-homogeneous kernel and ... See full document
17
A multidimensional Hilbert type integral inequality
... multidimensional Hilbert-type integral inequality with multi-parameters and the best possible constant factor related to the gamma function is ...a few particular results related ... See full document
13
A new more accurate half discrete Hilbert type inequality
... half-discrete Hilbert-type inequalities is a new direction and has gradually heated ...a few results on the half-discrete Hilbert-type in- equalities with the ... See full document
13
On a Multiple Hilbert Type Integral Inequality with the Symmetric Kernel
... (1.3) Inequality (1.2) posts the relationship of Hilbert inequality and the integral operator ...some parameters. A reverse Hilbert-Pachpatte’s inequality was first proved ... See full document
17
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
... Theorems 1-2. Furthermore, its application in the operator theory is considered in Theo- rems 3-4. The method of real analysis is very important as itis the key to prove the equiva- lent inequalities with the best ... See full document
12
A Hilbert type integral inequality in the whole plane related to the kernel of exponent function
... a few equivalent state- ments of a Hilbert-type integral inequality in the whole plane related to the kernel of expo- nent function with the intermediate variables ... See full document
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