[PDF] Top 20 On a Multiple Hilbert Type Integral Inequality with the Symmetric Kernel
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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
17
The Hilbert Type Integral Inequalities with a Homogeneous Kernel of Degree
... homogeneous kernel function of the integral operator T and inequality ...an inequality with the homogeneous kernel of −1- degree ... See full document
12
A Hilbert type integral inequality in the whole plane with a non homogeneous kernel and a few parameters
... that inequality () is a homogeneous kernel of degree –, in , A survey of the study of Hilbert-type inequalities with the homogeneous kernels of degree negative numbers and some ... See full document
9
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], ...the multiple Hilbert-type integral ... See full document
9
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
... on Hilbert-type single integral inequality ...on Hilbert-type multiple integral ...the multiple integral ... See full document
12
On a Hilbert type inequality with a homogeneous kernel in ℝ2 and its equivalent form
... on Hilbert-type inequality of 0-degree homo-geneous kernel and non-homogeneous ...improved inequality as follows: If p, r > 1, (1/p) + (1/q) = 1, (1/r) + (1/s) = 1, 0 < l < 1 ... See full document
11
A multidimensional Hilbert type integral inequality
... In this paper, by using the transfer formula and applying the method of weight func- tions and the technique of real analysis, we give a multidimensional Hilbert-type inte- gral inequality with ... See full document
13
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 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 Multiple Hilbert Type Integral Operator and Applications
... new multiple Hilbert-type integral operator with the norm is considered, which is an extension of the result in ...extended multiple Hilbert-type integral ... See full document
13
A Hilbert type integral inequality in the whole plane related to the kernel of exponent function
... a Hilbert-type integral inequality in the whole plane related to the kernel of expo- nent function with the intermediate variables (Theorem ...this type of ... See full document
14
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
12
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
11
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
14
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
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
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 Hilbert Type Operator with a Symmetric Homogeneous Kernel of1 Order and Applications
... the symmetric kernel k(x, y) be homogeneous function of − 1-order, and for fixed x > 0, r = p, q, the functions k(x,t)(x/t) 1/r be decreas- ing in t ∈ (0, ∞ ... See full document
9
A new more accurate half discrete Hilbert type inequality
... half-discrete Hilbert-type inequalities is a new direction and has gradually heated ...half-discrete Hilbert-type in- equalities with the non-homogeneous kernel, which were published ... See full document
13
On a new Hardy Mulholland type inequality and its more accurate form
... Using weight coefficients and applying the well-known Hermite-Hadamard inequality, a new Hardy-Mulholand-type inequality with a best possible constant factor is given. Furthermore, we also consider the ... See full document
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