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[PDF] Top 20 An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel

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An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel

An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel

... an extended multidimensional HardyHilberttype inequality with a general homogeneous kernel and a best possible constant factor is given in Theorem ...this ... See full document

13

A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-Zeta function

A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-Zeta function

... Hermite-Hadamard’s inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of the hyperbolic cosecant function with the best possible constant factor ... See full document

27

On a multidimensional version of the Hilbert type inequality in the whole plane

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

The Hilbert Type Integral Inequalities with a Homogeneous Kernel of  Degree

The Hilbert Type Integral Inequalities with a Homogeneous Kernel of Degree

... Recently, inequality 1.1 has been extended by introducing some parameters ...reverse Hilbert-Pachpatte inequality was first proved by Zhao and Debnath ...the Hilbert-type ... See full document

12

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

... 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

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

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

12

A half discrete Hardy Hilbert type inequality related to hyperbolic secant function

A half discrete Hardy Hilbert type inequality related to hyperbolic secant function

... half-discrete Hilbert-type in- equality with a general inhomogeneous kernel and the best constant factor is given by Yang ...half-discrete Hilbert-type ... See full document

24

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 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

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

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 ...Recently, inequality (1.1) has been extended by [3–6] by using the way of weight func- ... See full document

17

On a more accurate half discrete Hardy Hilbert type inequality related to the kernel of exponential function

On a more accurate half discrete Hardy Hilbert type inequality related to the kernel of exponential function

... half-discrete Hilbert-type in- equality with a general non-homogeneous kernel and a best constant factor are given by Yang ...half-discrete Hilbert-type ... See full document

21

Hardy Hilbert Type Inequalities with a Homogeneous Kernel in Discrete Case

Hardy Hilbert Type Inequalities with a Homogeneous Kernel in Discrete Case

... a 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

8

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

On a Hardy-Hilbert-Type Inequality with a General Homogeneous Kernel

On a Hardy-Hilbert-Type Inequality with a General Homogeneous Kernel

... a Hardy- Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is given, which is an extension of ... See full document

21

An extension of a multidimensional Hilbert type inequality

An extension of a multidimensional Hilbert type inequality

... new multidimensional Hilbert-type inequality with multi-parameters and a best possible constant factor is given, which is an extension of some published ... See full document

12

On a multidimensional Hilbert type inequality with parameters

On a multidimensional Hilbert type inequality with parameters

... In this paper, by the use of the way of weight coefficients, the transfer formula and technique of real analysis, a multidimensional discrete Hilbert’s inequality with parameters and a bes[r] ... See full document

14

A multidimensional Hilbert type integral inequality

A multidimensional Hilbert type integral inequality

... a multidimensional Hilbert-type integral inequality with multi-parameters and the best possible constant factor related to the gamma function is ... See full document

13

A new extension of a Hardy Hilbert type inequality

A new extension of a Hardy Hilbert type inequality

... By introducing independent parameters, and applying weight coefficients and the technique of real analysis, we give a new extension of a Hardy-Hilbert-type inequality with a best possible ... See full document

12

On a composition of two Hilbert Hardy type integral operators and related inequalities

On a composition of two Hilbert Hardy type integral operators and related inequalities

... About the discrete forms of () and (), in , Wilhelm [] gave an operator expres- sion. In , by using the operator theory, Zhang [] gave some improvements of () and the discrete form. In  to , [] ... See full document

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