[PDF] Top 20 A Hilbert type integral inequality in the whole plane related to the kernel of exponent function
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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 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 ...results related to the ... See full document
13
On a more accurate half discrete Hardy Hilbert type inequality related to the kernel of exponential function
... Hermite-Hadamard’s inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of exponential function with the best possible constant factor expressed ... See full document
21
A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-Zeta function
... Hermite-Hadamard’s inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of the hyperbolic cosecant function with the best possible constant ... See full document
27
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
An extended Hilbert’s integral inequality in the whole plane with parameters
... Hilbert’s integral inequality in the whole plane with parameters and a best possible constant factor is ...the related homogeneous forms with particular parameters are ...Hilbert’s ... See full document
11
A half discrete Hardy Hilbert type inequality related to hyperbolic secant function
... half-discrete Hilbert-type in- equality with a general inhomogeneous kernel and the best constant factor is given by Yang ...half-discrete Hilbert-type ... See full document
24
The Hilbert Type Integral Inequalities with a Homogeneous Kernel of Degree
... an integral operator, a norm with a weight function, and two pairs of conjugate exponents, we find the conditions for the Hilbert-type integral inequalities with a homogeneous ... 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
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
11
Generalization of an Inequality for Integral Transforms with Kernel and Related Results
... the inequality introduced by Mitrinovi´c and Peˇcari´c in ...Cauchy type for that new inequality by taking its ...the inequality which implies the exponential convexity and logarithmic ... See full document
17
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 ...that inequality () is a homogeneous kernel of degree –, in , a survey of the study of ... See full document
11
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 new Hilbert type integral inequality in the whole plane with the non homogeneous kernel
... Proof. The way of proving of Theorem 4 is similar to Theorem 3. By the reverse Hölder ’ s inequality [9], we have the reverse of (10) and (14). It is easy to obtain the reverse of (13). In view of the reverses of ... See full document
11
A Hilbert type integral inequality in the whole plane with a non homogeneous kernel and a few parameters
... new Hilbert-type integral inequality in the whole plane with a non-homogeneous kernel and a few ...factor related to the beta function is proved to be the ... See full document
9
A multiple Hilbert type integral inequality with a non homogeneous kernel
... By using the way of weight functions and the technic of real analysis, a multiple Hilbert-type integral inequality with a non-homogeneous kernel is given. The operator expression with ... See full document
12
On a New Hilbert Type Intergral Inequality with the Intergral in Whole Plane
... Hilbert’s inequality with the homogeneous kernel of 0 order and the integral in whole ...equivalent inequality and the reverse forms are ... See full document
8
A Hilbert type fractal integral inequality and its applications
... a Hilbert-type fractional inte- gral inequality and its equivalent form are tentatively ...the Hilbert-type integral inequality can be transplanted to the research of ... See full document
8
A half discrete Hilbert type inequality with a homogeneous kernel and an extension
... half-discrete Hilbert-type inequality with a general homogeneous kernel is obtained, and a best extension with two interval variables is ... See full document
16
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