Results 31 to 40 of about 2,697,458 (148)

A Hilbert-Type Integral Inequality with Multiparameters and a Nonhomogeneous Kernel

Abstract and Applied Analysis, 2014
We first introduce Γ-function and Riemann ζ-function to characterize the constant factor jointly. A Hilbert-type integral inequality with multiparameters and a nonhomogeneous kernel is given using the way of weight function and the technique of real ...
Qiong Liu, Wenbing Sun
doaj   +1 more source

On a reverse extended Hardy–Hilbert’s inequality

Journal of Inequalities and Applications, 2020
By the use of the weight coefficients, the idea of introducing parameters and the Euler–Maclaurin summation formula, a reverse extended Hardy–Hilbert inequality and the equivalent forms are given.
Zhenxiao Huang, Yanping Shi, Bicheng Yang   +2 more
doaj   +1 more source

Minimum Convex Partitions and Maximum Empty Polytopes

, 2014
Let $S$ be a set of $n$ points in $\mathbb{R}^d$. A Steiner convex partition is a tiling of ${\rm conv}(S)$ with empty convex bodies. For every integer $d$, we show that $S$ admits a Steiner convex partition with at most $\lceil (n-1)/d\rceil$ tiles ...
Dumitrescu, Adrian, Har-Peled, Sariel, Tóth, Csaba D.   +2 more
core   +3 more sources

On a new discrete Mulholland-type inequality in the whole plane

Journal of Inequalities and Applications, 2018
A new discrete Mulholland-type inequality in the whole plane with a best possible constant factor is presented by introducing multi-parameters, applying weight coefficients, and using Hermite–Hadamard’s inequality.
Bicheng Yang, Qiang Chen
doaj   +1 more source

On the nonuniform Berry--Esseen bound [PDF]

, 2013
Due to the effort of a number of authors, the value c_u of the absolute constant factor in the uniform Berry--Esseen (BE) bound for sums of independent random variables has been gradually reduced to 0.4748 in the iid case and 0.5600 in the general case ...
Pinelis, Iosif
core  

An Improved Version of the Parameterized Hardy–Hilbert Inequality Involving Two Partial Sums

Mathematics
In this paper, by employing the Euler–Maclaurin summation formula and real analysis techniques, an improved version of the parameterized Hardy–Hilbert inequality involving two partial sums is established.
Bicheng Yang, Shanhe Wu
doaj   +1 more source

A Multiple Hilbert-Type Integral Inequality with the Best Constant Factor

Journal of Inequalities and Applications, 2007
By introducing the norm ‖x‖α(x∈ℝ) and two parameters α, λ, we give a multiple Hilbert-type integral inequality with a best possible constant factor. Also its equivalent form is considered.
Baoju Sun
doaj   +1 more source

Robust randomized matchings

, 2017
The following game is played on a weighted graph: Alice selects a matching $M$ and Bob selects a number $k$. Alice's payoff is the ratio of the weight of the $k$ heaviest edges of $M$ to the maximum weight of a matching of size at most $k$.
Matuschke, Jannik, Skutella, Martin, Soto, José A.   +2 more
core   +1 more source

A more accurate Mulholland-type inequality in the whole plane

Journal of Inequalities and Applications, 2017
By introducing independent parameters, applying the weight coefficients, and Hermite-Hadamard’s inequality, we give a more accurate Mulholland-type inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, the
Yanru Zhong, Bicheng Yang, Qiang Chen
doaj   +1 more source

A Half-Discrete Hardy–Mulholland-Type Inequality Involving One Multiple Upper Limit Function and One Partial Sum

Mathematics
In this paper, by using the techniques of real analysis, with the help of the Euler–Maclaurin summation formula, Abel’s summation by parts formula, and the differentiation mid-value theorem, we establish a half-discrete Hardy–Mulholland-type inequality ...
Bicheng Yang, Shanhe Wu, Jianquan Liao
doaj   +1 more source