Results 21 to 30 of about 2,708,851 (245)

An extended reverse Hardy–Hilbert’s inequality in the whole plane

Journal of Inequalities and Applications, 2018
Using weight coefficients, a 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 constant factor.
Qiang Chen, Bicheng Yang
doaj   +1 more source

A More Accurate Half-Discrete Hardy-Hilbert-Type Inequality with the Best Possible Constant Factor Related to the Extended Riemann-Zeta Function

, 2015
By the method of weight coefficients, techniques of real analysis and 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 factor expressed in terms of the extended Riemann-zeta function is proved.
Rassias, Michael Th., Yang, Bicheng
openaire   +2 more sources

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

Anomalous heat-kernel decay for random walk among bounded random conductances [PDF]

, 2006
We consider the nearest-neighbor simple random walk on $\Z^d$, $d\ge2$, driven by a field of bounded random conductances $\omega_{xy}\in[0,1]$. The conductance law is i.i.d.
Berger, Noam, Biskup, Marek, Hoffman, Christopher E., Kozma, Gady   +3 more
core   +4 more sources

On a Discrete Version of the Hardy–Littlewood–Polya Inequality Involving Multiple Parameters in the Whole Plane

Mathematics
In this paper, by introducing multiple parameters, we establish a discrete version of the Hardy–Littlewood–Polya inequality in the whole plane. For the obtained inequality, we give the equivalent statements of the best possible constant factor linked to ...
Bicheng Yang, Shanhe Wu
doaj   +1 more source

On a reverse Mulholland’s inequality in the whole plane

Journal of Inequalities and Applications, 2018
By introducing multi-parameters, applying the weight coefficients and Hermite–Hadamard’s inequality, we give a reverse of the extended Mulholland inequality in the whole plane with the best possible constant factor.
Aizhen Wang, Bicheng Yang
doaj   +1 more source

Randomness Conductors and Constant-Degree Lossless Expanders [Extended Abstract] [PDF]

, 2009
The main concrete result of this paper is the first explicit construction of constant degree lossless expanders. In these graphs, the expansion factor is almost as large as possible: (1-[epsilon])D, where D is the degree and [epsilon] is an arbitrarily ...
Capalbo, Michael, Reingold, Omer, Vadhan, Salil P., Wigderson, Avi   +3 more
core   +1 more source

A discrete Hilbert-type inequality in the whole plane

Journal of Inequalities and Applications, 2016
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.
Dongmei Xin, Bicheng Yang, Qiang Chen
doaj   +1 more source

Search For A Permanent Electric Dipole Moment Using Atomic Indium

, 2011
We propose indium (In) as a possible candidate for observing the permanent electric dipole moment (EDM) arising from the violations of parity (P) and time-reversal (T) symmetries.
B. K. Sahoo, B. P. Das, C. E. Moore, D. S. Weiss, R. Pandey   +4 more
core   +1 more source

On the Total Perimeter of Homothetic Convex Bodies in a Convex Container [PDF]

, 2014
For two planar convex bodies, C and D, consider a packing S of n positive homothets of C contained in D. We estimate the total perimeter of the bodies in S, denoted per(S), in terms of per(D) and n.
Adrian Dumitrescu, Csaba D. Tóth
core   +3 more sources