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[PDF] Top 20 On a Hardy-Hilbert-Type Inequality with a General Homogeneous Kernel

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

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

... multidimensional HardyHilberttype inequality with a general homogeneous kernel and a best possible constant factor is ... See full document

13

A more accurate half discrete Hardy Hilbert type inequality with the logarithmic function

A more accurate half discrete Hardy Hilbert type inequality with the logarithmic function

... half-discrete Hilbert-type inequali- ties with the particular ...half-discrete Hilbert-type inequality with a general homogeneous kernel of degree –λ ∈ R and a best ... See full document

19

Hardy Hilbert Type Inequalities with a Homogeneous Kernel in Discrete Case

Hardy Hilbert Type Inequalities with a Homogeneous Kernel in Discrete Case

... Hilbert and Hardy-Hilbert type inequalities see 1 are very significant weight inequalities which play an important role in many fields of mathematics. Although classical, such inequalities ... See full document

8

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 kernel ... 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 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

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

... Some inequalities with the non-homogenous kernels have been studied in [6-8]. In this paper, by using the way of weight functions and the technique of real analysis, a new Hilbert-type integral ... 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 ...of ... 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 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

Multidimensional Hilbert Type Inequalities with a Homogeneous Kernel

Multidimensional Hilbert Type Inequalities with a Homogeneous Kernel

... We consider the Hilbert-type inequalities with nonconjugate parameters. The obtaining of the best possible constants in the case of nonconjugate parameters remains still open. Our generalization will ... See full document

12

The Hilbert Type Integral Inequalities with a Homogeneous Kernel of  Degree

The Hilbert Type Integral Inequalities with a Homogeneous Kernel of Degree

... a homogeneous function of ...a homogeneous kernel function of the integral operator T and inequality ...an inequality with the homogeneous kernel of −1- degree ... See full document

12

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), all ... 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 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

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

27

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

... By using the way of real analysis and estimating the weight functions, we build a new Hilbert-type integral inequality in the whole plane with a non-homogeneous kernel and a few ... See full document

9

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

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

21

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 inequality with a general homogeneous kernel is obtained, and a best extension with two interval variables is ... See full document

16

A multiple Hilbert type integral inequality with a non homogeneous kernel

A multiple Hilbert type integral inequality with a non homogeneous kernel

... By using the way of weight functions and the technic of real analysis, a multiple Hilbert-type integral inequality with a non-homogeneous kernel is given. The operator expression with ... See full document

12

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