[PDF] Top 20 A Hilbert Integral Type Inequality with Parameters
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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 ... See full document
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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
Some Integral and Discrete Versions of the Grüss Inequality for Real and Complex Functions and Sequences
... (2002), A Gr¨ uss type inequality for sequences of vectors in normed linear spaces, (Preprint) RGMIA Res.. (2001), Integral Gr¨ uss inequality for mappings with values in Hilbert spaces [r] ... See full document
8
On a Generalization of Hilbert Type Integral Inequality
... to Hilbert inequalities and Hilbert-type inequalities by several authors including Gao and Yang 1, Yang 2–4, Jichang and Debnath 5, Pachpatte 6, Zhao 7, Brneti´c and Peˇcari´c ...new ... See full document
8
A Hilbert type integral inequality under configuring free power and its applications
... possible. Inequality (1) is very important in har- monic analysis and theory of partial differential equations (see [1, ...decades, inequality (1) has been extensively studied by numerous authors, evolved ... See full document
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A Hilbert type integral inequality in the whole plane related to the kernel of exponent function
... By using real analysis and weight functions, we obtain a few equivalent statements of a Hilbert-type integral inequality in the whole plane related to the kernel of exponent function with ... See full document
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A multiple Hilbert type integral inequality with a non homogeneous kernel
... (). Inequality () is an extension of the results in [–] and ...some Hilbert-type operators relating ()-(); [] also considered a multiple Hilbert-type integral operator ... See full document
12
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
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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
... At present, there are lots of research results on Hilbert-type single integral inequality (cf. [1–14]). But there are relatively few studies on Hilbert-type multiple ... See full document
12
An extension of a multidimensional Hilbert type inequality
... 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
A new extension of a Hardy Hilbert type inequality
... 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 constant ... See full document
12
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 Hilbert type integral inequality in the whole plane with a non homogeneous kernel and a few parameters
... Proof By the reverse Hölder’s inequality (cf. []), we have the reverses of () and (). It is easy to obtain the reverse of (). In view of the reverses of () and (), we ob- tain the reverse of (). On ... See full document
9
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
A new more accurate half discrete Hilbert type inequality
... introducing parameters and by means of Hadamard’s inequality, we give a more accurate half-discrete Hilbert-type inequality with a best constant ...with parameters, equivalent ... See full document
13
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
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 given. The ... See full document
18
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
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
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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