Results 11 to 20 of about 2,697,458 (148)

A Half-Discrete Hardy-Hilbert-Type Inequality with a Best Possible Constant Factor Related to the Hurwitz Zeta Function [PDF]

, 2017
Using methods of weight functions, techniques of real analysis as well as the Hermite-Hadamard inequality, a half-discrete Hardy-Hilbert-type inequality with multi-parameters and a best possible constant factor related to the Hurwitz zeta function and the Riemann zeta function is obtained.
Rassias, Michael Th., Yan, Bicheng
openaire   +2 more sources

Equivalent property of a half-discrete Hilbert’s inequality with parameters

Journal of Inequalities and Applications, 2018
By using the weight functions and the idea of introducing parameters, a half-discrete Hilbert inequality with a nonhomogeneous kernel and its equivalent form are given.
Zhenxiao Huang, Bicheng Yang
doaj   +1 more source

On an Extension of a Hardy–Hilbert-Type Inequality with Multi-Parameters

Mathematics, 2021
Making use of weight coefficients as well as real/complex analytic methods, an extension of a Hardy–Hilbert-type inequality with a best possible constant factor and multiparameters is established.
Bicheng Yang, Michael Th. Rassias, Andrei Raigorodskii   +2 more
doaj   +1 more source

Space proof complexity for random 3-CNFs [PDF]

, 2017
We investigate the space complexity of refuting 3-CNFs in Resolution and algebraic systems. We prove that every Polynomial Calculus with Resolution refutation of a random 3-CNF φ in n variables requires, with high probability, distinct monomials to be ...
Bennett, Patrick, Bonacina, Ilario, Galesi, Nicola, Huynh, Tony, Molloy, Mike, Wollan, PAUL JOSEPH   +5 more
core   +1 more source

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

A kinematical approach to dark energy studies [PDF]

, 2006
We present and employ a new kinematical approach to cosmological `dark energy' studies. We construct models in terms of the dimensionless second and third derivatives of the scale factor a(t) with respect to cosmic time t, namely the present-day value of
Alam, Allen, Allen, Allen, Armendariz-Picon, Armendariz-Picon, Astier, Bagla, Barreiro, Bento, Borgani, Cabre, Caldwell, Caldwell, Caldwell, Carroll, Carroll, Carroll, Chiba, Chiba, Cole, Copeland, Copeland, Copeland, Corasaniti, Croft, David Rapetti, Deffayet, Deffayet, Doran, Dvali, Eisenstein, Eke, Elgaroy, Ettori, Fosalba, Freedman, Gelman, Gong, Guo, Hoekstra, Hu, Jarvis, Jassal, Jeffreys, Kamenshchik, Kass, Kirkman, Knop, Lewis, Liddle, Linder, Maartens, Mather, Mena, Mukherjee, Mustafa A. Amin, Nesseris, Onemli, Perlmutter, Rapetti, Reiprich, Riess, Riess, Roger D. Blandford, Sahni, Schuecker, Schwarz, Seljak, Shapiro, Spergel, Steinhardt, Steven W. Allen, Tegmark, Upadhye, Van Waerbeke, Van Waerbeke, Verde, Viel, Vikman, Visser, Voevodkin, Vollick, Weller, Zhao, Zlatev   +85 more
core   +6 more sources

The necessary and sufficient conditions for the existence of a kind of Hilbert-type multiple integral inequality with the non-homogeneous kernel and its applications

Journal of Inequalities and Applications, 2017
For x = ( x 1 , … , x n ) ${x}= ( {x}_{1},\ldots, {x}_{{n}} )$ , u ( x ) = ( ∑ i = 1 n a i x i ρ ) 1 / ρ ${u} ( {x} ) = ( \sum_{{i}=1}^{{n}} {a}_{{i}} {x}_{{i}}^{\rho} )^{1/\rho}$ , v ( y ) = ( ∑ i = 1 n b i y i ρ ) 1 / ρ ${v} ( {y} ) = ( \sum_{{i}=1 ...
Yong Hong, Qiliang Huang, Bicheng Yang, Jianquan Liao   +3 more
doaj   +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

A reverse Mulholland-type inequality in the whole plane

Journal of Inequalities and Applications, 2018
We present a new reverse Mulholland-type inequality in the whole plane with a best possible constant factor by introducing multiparameters, applying weight coefficients, and using the Hermite–Hadamard inequality.
Jianquan Liao, Bicheng Yang
doaj   +1 more source

A New Reverse Extended Hardy–Hilbert’s Inequality with Two Partial Sums and Parameters

Axioms, 2023
By using the methods of real analysis and the mid-value theorem, we introduce some lemmas and obtain a new reverse extended Hardy–Hilbert’s inequality with two partial sums and multi-parameters.
Jianquan Liao, Bicheng Yang
doaj   +1 more source