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A multiple Hilbert type integral inequality with a non homogeneous kernel

A multiple Hilbert type integral inequality with a non homogeneous kernel

... Inequalities () and () and the operator are important in analysis and its applications (cf. [, ]). In , [] considered the property of the Hardy-Hilbert integral operator and gave an improvement of ... See full document

12

Equivalent conditions and applications of a class of Hilbert type integral inequalities involving multiple functions with quasi homogeneous kernels

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 half discrete Hilbert type inequality with a homogeneous kernel and an extension

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

16

A more accurate half discrete reverse Hilbert type inequality with a non homogeneous kernel

A more accurate half discrete reverse Hilbert type inequality with a non homogeneous kernel

... about integral and discrete Hilbert-type inequalities can be found in ...half-discrete Hilbert-type inequalities with the general non-homogeneous kernels, Hardy et ... See full document

13

Two kinds of Hilbert type integral inequalities in the whole plane

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

11

On a Hilbert type inequality with a homogeneous kernel in ℝ2 and its equivalent form

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 multidimensional discrete Hilbert-type inequality

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

A more accurate half discrete Hilbert type inequality with a non homogeneous kernel

A more accurate half discrete Hilbert type inequality with a non homogeneous kernel

... In this paper, by means of weight functions and the improved Euler-Maclaurin sum- mation formula, a more accurate half-discrete Hilbert-type inequality with a non- homogeneous ... See full document

12

Multidimensional Hilbert Type Inequalities with a Homogeneous Kernel

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

12

A Hilbert Integral Type Inequality with Parameters

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

11

A multidimensional Hilbert type integral inequality

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 ...of non-homogeneous and ... See full document

13

Hardy Hilbert Type Inequalities with a Homogeneous Kernel in Discrete Case

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

8

On a more accurate multidimensional Mulholland type inequality

On a more accurate multidimensional Mulholland type inequality

... Hardy-Hilbert inequality with the best possible constant ...half-discrete Hilbert-type in- equalities with particular ...and integral Hilbert-type inequalities with some ... See full document

13

A half discrete Hilbert type inequality with the non monotone kernel and the best constant factor

A half discrete Hilbert type inequality with the non monotone kernel and the best constant factor

... half-discrete Hilbert-type in- equalities with the non-homogeneous kernel (see Theorem ...half-discrete Hilbert-type inequalities and their reverses with the monotone ... See full document

8

A Hilbert type integral inequality in the whole plane with a non homogeneous kernel and a few parameters

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

9

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

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

... on Hilbert-type single integral inequality ...on Hilbert-type multiple integral ...the multiple integral ... See full document

12

A Hilbert Type Integral Inequality in the Whole Plane with the Homogeneous Kernel of Degree −2

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

On a Multiple Hilbert Type Integral Inequality with the Symmetric Kernel

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 ...reverse Hilbert-Pachpatte’s inequality was first proved by Zhao in ... See full document

17

On a generalization of a Hilbert type integral inequality in the whole plane with a hypergeometric function

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 new Hilbert type integral inequality in the whole plane with the non homogeneous kernel

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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