[PDF] Top 20 A Multiple Hilbert Type Integral Inequality with the Best Constant Factor
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A Multiple Hilbert Type Integral Inequality with the Best Constant Factor
... [4] K. Jichang and L. Debnath, “On new generalizations of Hilbert’s inequality and their applica- tions,” Journal of Mathematical Analysis and Applications, vol. 245, no. 1, pp. 248–265, 2000. [5] K. Jichang, ... See full document
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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
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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 ... See full document
13
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 the best ... See full document
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On a New Hilbert Hardy Type Integral Operator and Applications
... Hardy’s integral inequality, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is ...new Hilbert- Hardy-type inequality similar to ... See full document
10
Equivalent properties of a Mulholland type inequality with a best possible constant factor and parameters
... In 2016, by using the techniques of real analysis, Hong [20] considered some equiva- lent statements of the general form of (1) with the homogeneous kernel related to a few parameters and a best possible ... See full document
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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 new half discrete Mulholland type inequality with multi parameters
... about Hilbert-type inequalities can be found in ...discrete Hilbert-type inequalities with the general non-homogeneous kernels, Hardy et ...the constant factors are best ... See full document
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On a half discrete reverse Mulholland type inequality and an extension
... reverse Hilbert-type inequalities are provided by [– ...half-discrete Hilbert-type inequalities with the non-homogeneous kernels, Hardy et ...the constant factors in the inequalities ... See full document
9
On a Hilbert type inequality with a homogeneous kernel in ℝ2 and its equivalent form
... By (3.14), if follows that k ≥ M for ε ® 0 + . Hence k is the best value of (3.9). Furthermore, the constant factors in (3.10) and (3.11) are both the best value too. Otherwise, by (3.3) or (3.13), ... See full document
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On a Multiple Hilbert Type Integral Operator and Applications
... a multiple Hilbert-type integral operator with the homogeneous kernel of −λ-degree λ ∈ R and its norm are ...the best constant factors, the reverses, and some particular norms ... See full document
13
On a Multiple Hilbert's Inequality with Parameters
... Hadamard’s inequality and the way of real analysis, we estimate the weight coefficients and give a multiple more accurate Hilbert’s inequality, which is an extension of some published ...the ... See full document
12
A new more accurate half discrete Hilbert type inequality
... Hadamard’s inequality, we give a more accurate half-discrete Hilbert-type inequality with a best constant ...its best extension with parameters, equivalent forms, operator ... See full document
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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 ...the constant factor is proved to be the ... See full document
11
A new Hardy Hilbert type inequality with multiparameters and a best possible constant factor
... The equivalent forms, the operator expression with the norm, the reverse and some particular inequalities with the best possible constant factors are also considered.... Proof By Hölder’[r] ... See full document
15
On a Hardy-Hilbert-Type Inequality with a General Homogeneous Kernel
... By the method of weight coefficients and techniques of real analysis, a Hardy-Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is ... See full document
21
On a composition of two Hilbert Hardy type integral operators and related inequalities
... some Hilbert-type and Hilbert-Hardy-type integral inequalities with the best possible constant ...two Hilbert-Hardy-type integral operators and some ... See full document
18
On a Hardy Hilbert type inequality with parameters
... By means of the way of weight coefficients and technique of real analysis, an extension of a Hardy-Hilbert-type inequality with parameters and a best possible constant factor is ... See full document
18
On a half discrete Hilbert type inequality similar to Mulholland’s inequality
... Hadamard’s inequality, a half-discrete Hilbert-type inequality similar to Mulholland’s inequality with a best constant factor is ... See full document
8
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
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