[PDF] Top 20 An extended Hilbert’s integral inequality in the whole plane with parameters
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An extended Hilbert’s integral inequality in the whole plane with parameters
... Hardy–Hilbert’s integral inequality, which with (1) is important in analysis and its applications ...a Hilbert-type integral inequality with the general nonhomogeneous kernel is ... See full document
11
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 ... See full document
9
A more accurate Mulholland type inequality in the whole plane
... independent parameters and applying the weight coeffi- cients and Hermite-Hadamard’s inequality, we give a new more accurate extension of (3) in the whole plane with a best possible constant ... See full document
15
On a New Hilbert Type Intergral Inequality with the Intergral in Whole Plane
... some parameters and estimating the weight functions, we build a new Hilbert’s inequality with the homogeneous kernel of 0 order and the integral in whole ...equivalent inequality and ... See full document
8
On a reverse Mulholland’s inequality in the whole plane
... Hermite–Hadamard’s inequality, we give a reverse of the extension of Mulholland’s inequality in the whole plane with the best possible constant factor in Theorems ... See full document
14
A discrete Hilbert type inequality in the whole plane
... By the use of weight coefficients and technique of real analysis, a discrete Hilbert-type inequality in the whole plane with multi-parameters and a best possible constant factor is given. ... 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 ... See full document
11
On a new discrete Mulholland type inequality in the whole plane
... Mulholland-type inequality in the whole plane with a best possible constant factor that is similar to that in (4) via introducing multi-parameters, applying weight coefficients, and using ... See full document
13
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
Two kinds of Hilbert type integral inequalities in the whole plane
... possible. Inequality () together with the discrete form is important in analysis and its applications ...introducing parameters, many extensions of () were given by Yang ...that inequality () is a ... See full document
11
Hilbert type and Hardy type integral inequalities with operator expressions and the best constants in the whole plane
... the whole plane, as well as the corresponding operator expression, the equivalent form, and the reverse ...Hardy-type inequality with the best possible ... See full document
10
A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications
... some parameters and by employing a sharpening of H¨ older’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is ... See full document
9
A reverse Mulholland type inequality in the whole plane
... Inequalities (1) and (2) play an important role in analysis and its applications (see [1, 2]). In 2007, Yang [3] published a Hilbert-type integral inequality in the whole plane. Various ... See full document
15
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 ...Recently, inequality (1.1) has been extended by [3–6] by using the way of weight ... See full document
17
An extended reverse Hardy–Hilbert’s inequality in the whole plane
... complex integral formula, and Hermite– Hadamard’s inequality, we give an extended reverse Hardy–Hilbert’s inequality in the whole plane with multiparameters and a best possible ... See full document
15
A Hilbert type integral inequality in the whole plane related to the kernel of exponent function
... where the constant factor π is the best possible. In 1925, by introducing the pair of con- jugate exponents (p, q) (p > 1, 1 p + 1 q = 1), Hardy et al. gave an extension of (1) (see [1], Theorem 316). Recently, by ... 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
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
A Hilbert type fractal integral inequality and its applications
... the Hilbert-type integral inequality on the fractal set is still not ...a Hilbert-type integral inequality and its equivalent form on a fractal set are ... See full document
8
New Upper Bounds for Mathieu-Type Series
... series S(r) was considered firstly by ´ ...variant S(r) has been recently introduced by Pog´any e et ...for S, S. In this note we obtain e new upper bounds over S(r), S(r) with ... See full document
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