[PDF] Top 20 A multidimensional Hilbert type integral inequality
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A multidimensional Hilbert type integral inequality
... a multidimensional Hilbert-type integral inequality with multi-parameters and the best possible constant factor related to the gamma function is ... See full document
13
On a Multiple Hilbert Type Integral Operator and Applications
... multiple Hilbert-type integral operator with the norm is considered, which is an extension of the result in ...multiple Hilbert-type integral inequality and the equivalent ... See full document
13
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 ... See full document
11
A Hilbert type integral inequality under configuring free power and its applications
... multi-parameter Hilbert-type integral inequality and its equivalent form are established, and their constant factors are proved to be the best ... See full document
11
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
14
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
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
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 parameters. ... See full document
9
Multidimensional Hilbert Type Inequalities with a Homogeneous Kernel
... → R, where k ≥ 2, with k being nonconjugate parameters. The techniques that will be used in the proofs are mainly based on classical real analysis, especially on the well-known H ¨older’s inequality and on ... See full document
12
On a Multiple Hilbert's Inequality with Parameters
... analysis and their applications cf. 3. In near one century, there are many improvements, generalizations and, applications of 1.1–1.4 in numerous literatures and monographs of mathematics cf. 2–18. Yang and Huang also ... See full document
12
On a more accurate multidimensional Mulholland type inequality
... Hardy-Hilbert inequality with the best possible constant ...half-discrete Hilbert-type in- equalities with particular ...and integral Hilbert-type inequalities with some ... See full document
13
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 ... See full document
9
A new extension of a Hardy Hilbert type inequality
... Hilbert’s type linear operator and ...Hardy-Hilbert’s type inequality with a ...Hilbert’s type integral inequality with some parameters and the equivalent ... See full document
12
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
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 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 function. And the constant factor is proved to be the best ... See full document
11
An extension of a multidimensional Hilbert type inequality
... new multidimensional Hilbert-type inequality with multi-parameters and a best possible constant factor is given, which is an extension of () and ... See full document
12
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 multidimensional version of the Hilbert type inequality in the whole plane
... Hilbert-type inequalities with a general homogeneous kernel in the whole plane. We derive a pair of equivalent inequalities, and we also establish the conditions under which the constant factors included in ... See full document
9
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 ... See full document
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