[PDF] Top 20 A Hilbert's Inequality with a Best Constant Factor
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A Hilbert's Inequality with a Best Constant Factor
... Xie, “A new reverse Hilbert-type inequality with a best constant factor,” Journal of Mathematical Analysis and Applications, vol.. Yang, “On an extended Hardy-Hilbert’s inequality and so[r] ... See full document
8
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 new restructured Hardy-Littlewood's inequality
... (r < 1). (1.12) Hardy et al. [2] did not obtained the expression of K p and proved that the con- stant factor is the best possible. But Hardy and Littlewood [16] pointed out some applications of (1.11) ... See full document
10
On a half discrete reverse Mulholland type inequality and an extension
... reverse Hilbert-type inequalities are provided by [– ...half-discrete Hilbert-type inequalities with the non-homogeneous kernels, Hardy et ...the constant factors in the inequalities are best ... See full document
9
The Best Constant of Discrete Sobolev Inequality on a Weighted Truncated Tetrahedron
... the best constant of Sobolev inequality in view of the boundary value problem [4]-[8], and then they studied discrete Sobolev inequality [9]-[13] aiming to application to the C60 buckyball ... See full document
6
Symmetrization of Functions and the Best Constant of 1 DIM Sobolev Inequality
... The best constants C1, p and C2, p were recently obtained by Oshime 1. This paper gives an alternative proof which simplifies the derivation process of C1, p and C2, p and computes further constant C3, p. ... See full document
12
On a Hilbert type inequality with a homogeneous kernel in ℝ2 and its equivalent form
... By (3.14), if follows that k ≥ M for ε ® 0 + . Hence k is the best value of (3.9). Furthermore, the constant factors in (3.10) and (3.11) are both the best value too. Otherwise, by (3.3) or (3.13), ... See full document
11
Half discrete Hardy Hilbert’s inequality with two interval variables
... half-discrete Hilbert-type inequalities with non-homogeneous kernels, Hardy, Littlewood and Polya provided some results in Theorem of ...the constant factors in the new inequalities were best ... See full document
13
On a new Hardy Mulholland type inequality and its more accurate form
... Hermite-Hadamard’s inequality, a Hardy-Mulholland-type inequality with a best possible constant factor simi- lar to () is proved, which is an extension of ...Mulholland-type ... See full document
11
On a more accurate half discrete mulholland's inequality and an extension
... with the same best constant factor π . Inequalities (1) and (2) are important in analy- sis and its applications (cf. [2-4]) and they still represent the field of interest to numer- ous ... See full document
10
A reverse Mulholland type inequality in the whole plane
... Mulholland-type inequality in the whole plane with a best possible constant factor, which is similar to the results of [13], via introduc- ing multiparameters, applying weight coefficients, and ... See full document
15
On a half discrete inequality with a generalized homogeneous kernel
... By introducing a real number homogeneous kernel and estimating the weight function through the real function techniques, a half-discrete inequality with a best constant factor is established. ... See full document
15
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
A more accurate half discrete Hilbert type inequality with a non homogeneous kernel
... half-discrete Hilbert-type inequality with a non-homogeneous kernel and a best constant factor is ...A best extension, some equivalent forms, the operator expressions as well as ... See full document
12
The Best Constant of Sobolev Inequality Corresponding to Clamped Boundary Value Problem
... We point out that the constant which appears in the generalized Lyapunov inequality by Levin 3 and Das and Vatsala 4 is the reverse of the Sobolev best embedding constant.. Corollary[r] ... See full document
17
A Hilbert type operator with a symmetric homogeneous kernel of two parameters and its applications
... a Hilbert-type linear operator with a symmetric homogeneous kernel, one can obtain var- ious Hilbert-type inequalities with the best constant ... See full document
14
A new half discrete Mulholland type inequality with multi parameters
... about Hilbert-type inequalities can be found in ...discrete Hilbert-type inequalities with the general non-homogeneous kernels, Hardy et ...the constant factors are best ... See full document
9
On a New Hilbert Hardy Type Integral Operator and Applications
... integral inequality, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is ...new Hilbert- Hardy-type inequality similar to Hilbert-type integral ... See full document
10
On a composition of two Hilbert Hardy type integral operators and related inequalities
... some Hilbert-type and Hilbert-Hardy-type integral inequalities with the best possible constant ...two Hilbert-Hardy-type integral operators and some examples are given, which are some ... See full document
18
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. ... See full document
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