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[PDF] Top 20 On a Hilbert type inequality with a homogeneous kernel in ℝ2 and its equivalent form

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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

... and its applications ...the kernel of (1.1) is homogeneous of degree ...degree homogeneous kernel of the parameterized Hilbert-type ... See full document

11

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

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

... Hardy-Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is ...The equivalent forms, the operator expressions with the norm, 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 ...The equivalent forms, the operator ... See full document

16

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

... half-discrete Hilbert-type inequality with a non-homogeneous kernel and a best constant factor is ...some equivalent forms, the operator expressions as well as some particular ... See full document

12

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

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

... Hardy–Hilberttype inequality with a general homogeneous kernel and a best possible constant factor is ...the equivalent forms, the operator expressions and a few examples are ... See full document

13

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

... new Hilbert-type integral inequality in the whole plane with the non-homogenous kernel and a best constant factor is ...the equivalent forms, the reverses and some particular cases are ... See full document

11

The Hilbert Type Integral Inequalities with a Homogeneous Kernel of  Degree

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 ...a ... See full document

12

On a Multiple Hilbert Type Integral Inequality with the Symmetric Kernel

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. ... See full document

17

On a Hilbert Type Operator with a Symmetric Homogeneous Kernel of1 Order and Applications

On a Hilbert Type Operator with a Symmetric Homogeneous Kernel of1 Order and Applications

... symmetric homogeneous kernel of − 1-order satisfying condition (ii) of Theorem ...two equivalent inequalities with the symmetric homo- geneous kernel of − ...new Hilbert-type ... 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 gamma ... See full document

21

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 expressed ... See full document

27

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 ... See full document

8

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 a best constant ...reverse form is considered. As ... See full document

11

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

... new Hilbert-type integral inequality in the whole plane with a non-homogeneous kernel and a few ...the equivalent forms, the reverses, and some particular ... See full document

9

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

On a more accurate multiple Hilbert-type inequality

On a more accurate multiple Hilbert-type inequality

... 0, inequality (1.3) reduces to (1.2). Another more accurate Hilbert-type inequalities were given by [6], [14], [10], [9], [11], ...multiple Hilbert-type integral inequality ... See full document

9

A relation between two simple Hardy Mulholland type inequalities with parameters

A relation between two simple Hardy Mulholland type inequalities with parameters

... (–1 < α ≤ 1, 0 < λ ≤ 2; m,n ∈ N\{1}) and a best possible constant factor is provided, which is a relation between two simple Hardy-Mulholland-type inequalities with parameters. The equivalent forms, ... See full document

14

On a half discrete inequality with a generalized homogeneous kernel

On a half discrete inequality with a generalized homogeneous kernel

... number homogeneous kernel and estimating the weight function through the real function techniques, a half-discrete inequality with a best constant factor is ...expressions, equivalent forms, ... See full document

15

On a new Hardy Mulholland type inequality and its more accurate form

On a new Hardy Mulholland type inequality and its more accurate form

... 8. Chen, Q, Yang, BC: A survey on the study of Hilbert-type inequalities. J. Inequal. Appl. 2015, 302 (2015) 9. Yang, BC: The Norm of Operator and Hilbert-Type Inequalities. Science Press, ... See full document

11

New half discrete Hilbert inequalities for three variables

New half discrete Hilbert inequalities for three variables

... are equivalent. Inequality (1) was first studied by D. Hilbert at the end of the 19th century, and hence, in his honor, it is referred to as the Hilbert ... See full document

15

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