[PDF] Top 20 A Hilbert type operator with a symmetric homogeneous kernel of two parameters and its applications
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A Hilbert type operator with a symmetric homogeneous kernel of two parameters and its applications
... the Hilbert-type linear operator whose kernel is symmetric and homogeneous of degree ...extended Hilbert-type inequal- ities by using the kernel k(x, y) = ... See full document
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On a Hilbert Type Operator with a Symmetric Homogeneous Kernel of1 Order and Applications
... the symmetric homogeneous kernel of − 1-order satisfying condition (ii) of Theorem ...considers two equivalent inequalities with the symmetric homo- geneous kernel of − ...As ... See full document
9
On a Hilbert Type Operator with a Class of Homogeneous Kernels
... new Hilbert-type operator and obtain its ...As applications, an extended basic theorem on Hilbert-type inequalities with the decreasing homogeneous kernel of ... See full document
9
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 operator expressions, the reverses ... See full document
16
Two kinds of Hilbert type integral inequalities in the whole plane
... functions, two kinds of Hilbert-type integral inequalities in the whole plane with a non-homogeneous kernel and a homogeneous kernel are ...and two kinds of ... See full document
11
On a Multiple Hilbert Type Integral Inequality with the Symmetric Kernel
... of Hilbert inequality and the integral operator ...some parameters. A reverse Hilbert-Pachpatte’s inequality was first proved by Zhao in ... See full document
17
On a Multiple Hilbert Type Integral Operator and Applications
... multiple Hilbert-type integral operator with the homogeneous kernel of −λ-degree λ ∈ R and its norm are ...for applications, two equivalent inequalities with the ... See full document
13
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 ...As ... See full document
12
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 ...As applications, we also obtain ... See full document
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A New Hilbert Type Linear Operator with a Composite Kernel and Its Applications
... setting two monotonic increasing functions ux and vx, a new Hilbert-type inequality, which is with a composite kernel function Kux, vy, and its equivalent are built in this ...the ... See full document
18
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 ... See full document
12
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 ... See full document
12
On a New Hilbert Hardy Type Integral Operator and Applications
... a Hilbert-Hardy-type integral operator is defined, and the norm of operator is ...As applications, a new Hilbert- Hardy-type inequality similar to ... See full document
10
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 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 ...As applications, the equivalent forms, the reverses and some particular ... See full document
11
A Hilbert type fractal integral inequality and its applications
... a Hilbert-type fractional inte- gral inequality and its equivalent form are tentatively ...the Hilbert-type integral inequality can be transplanted to the research of ... See full document
8
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
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A more accurate half discrete Hilbert type inequality with a non homogeneous kernel
... 3. Yang, B: Hilbert-Type Integral Inequalities. Bentham Science Publishers, Sharjah (2009) 4. Yang, B: Discrete Hilbert-Type Inequalities. Bentham Science Publishers, Sharjah (2011) 5. Yang, ... See full document
12
An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel
... general homogeneous kernel and a best possible constant factor is given in Theorem ...the operator expressions and a few particular examples are ...this type of ... See full document
13
Hardy Hilbert Type Inequalities with a Homogeneous Kernel in Discrete Case
... 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
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