Hasil untuk "math.CA"

Thérèse Fallièro

We consider again a classical theorem relating capacities and algebraic integers and the question of the simultaneous approximation of $ n-1$ different complex numbers by conjugate algebraic integers of degree $n$.

J. Socorro, J. Juan Rosales

Using a particular form of the quantum K-essence scalar field, we show that in the quantum formalism, a fractional differential equation in the scalar field variable, for some epochs in the Friedmann–Lemaı^tre–Robertson–Walker (FLRW) model (radiation and inflation-like epochs, for example), appears naturally. In the classical analysis, the kinetic energy of scalar fields can falsify the standard matter in the sense that we obtain the time behavior for the scale factor in all scenarios of our Universe by using the Hamiltonian formalism, where the results are analogous to those obtained by an algebraic procedure in the Einstein field equations with standard matter. In the case of the quantum Wheeler–DeWitt (WDW) equation for the scalar field ϕ, a fractional differential equation of order β=2α2α−1 is obtained. This fractional equation belongs to different intervals, depending on the value of the barotropic parameter; that is to say, when ωX∈[0,1], the order belongs to the interval 1≤β≤2, and when ωX∈[−1,0), the order belongs to the interval 0<β≤1. The corresponding quantum solutions are also given.

Dominique Maldague

We prove a sharp (up to $C_εR^ε$) $L^7$ square function estimate for the moment curve in $\mathbb{R}^3$.

Jan-Christoph Schlage-Puchta

We determine the asymptotic behaviour of certain incomplete Betafunctions.

Marija Nenezic, Ling Zhu

The aim of this article is to give some improvements of Jordan-Steckin and Becker-Stark inequalities discussed in [1].

E. Camby, G. Caporossi, M. H. M. Paiva et al.

Paco Villarroya

We prove several off-diagonal and pointwise estimates for singular integral operators that extend compactly on $L^{p}(\mathbb R^{n})$.

Faruk Temur

We extend the quantitative Balian-Low theorem of Nitzan and Olsen to higher dimensions.

Tristram de Piro

We develop a method for calculating Riemann sums using Fourier analysis.

D. Cabaret, N. Emery, Ch. Bellin et al.

E. Crema, M. A. G. Alvarez, N. H. Medina et al.

Stephen Semmes

A basic class of constructions is considered, in connection with bilipschitz mappings in particular.

Peng Gao

We extend the classical Copson's inequalities so that the values of parameters involved go beyond what is currently known.

Jan Moser

In this paper it is proved that a mean-value of the product of some factors $|ζ|^2$ is asymptotically equal to the product of the mean-values of $ζ|^2$, and this holds true for every fixed number of the factors.

Guochu Deng, Vladimir Pomjakushin, Václav Petříček et al.

Jan Moser

Is is shown in this paper that there is a connection between the Riemann zeta-function $\zf$ and the classical Jacobi's polynomials, i.e. the Legendre polynomials, Chebyshev polynomials of the first and the second kind,...

R. A. EISENSTEIN,, D. W. MADSEN,, H. THEISSEN, et al.

J. S. Kim, L. Boeri, R. K. Kremer et al.

P. S. Bullen

A survey of mean inequalities with real weights is given.

O. H. Asadova

The goal of the paper is to study a spectral problem corresponding to the mixed problem for a sixth order weak parabolic equation.