Hasil untuk "math.CA"

Hongki Jung

We improve upon the majorant estimates introduced by Mockenhaupt and Schlag by applying Bourgain's $Λ(p)$ property to random sets.

Michael Jesurum

We bound certain r-maximal restriction operators on the moment curve.

Hans Volkmer

In this note we consider the Fourier expansion of the Ferrers function P of the first kind. We determine its mode of convergence.

G. Tephnadze

In this paper we investigate convergence and strong summability of the two-dimensional Vilenkin-Fourier series in the martingale Hardy spaces.

Matthew Hendtlass

We show that the length of a path in $ \mathbf{R}^2 $ can be computed if and only if its variation in every direction can.

Imane Ghanimi

The aim of this paper is to give, using some contiguous relations, the asymptotic behaviour of some linear combination of two symmetric contiguous hypergeometric functions, under some conditions of their parameters.

Emin Özçağ

In this paper we define the polygamma functions $ψ^{(n)}(x)$ for negative integers by using neutrix calculus.

Merve Avci Ardic

In this paper, we establish some integral ineuqalities for n- times differentiable convex functions.

Jan Moser

In this paper a new integral for the remainder of $π(x)$ is obtained. It is proved that there is an infinite set of the formulae containing miscellaneous parts of this integral.

Jan Moser

It is proved in this paper that there is a nonlocal asymptotic splitting (in the integral sense) of the function $Z^4(t)$ into two factors. The corresponding formula cannot be obtained in the known theories of Balasubramanian, Heath-Brown and Ivic.

Peng Gao

Motivated by existing results, we present some completely monotonic functions involving the polygamma functions.

Jan Moser

It is shown in this paper that the Jacob's ladder is the asymptotic solution to the new nonlinear integral equations which correspond to the functions $J_ν(x)$ and $|\zf|^4$.

Ruiming Zhang

In this note, we present the determinant, the inverse and a lower bound for the smallest eigenvalue for some Hankel matrices

Donal F Connon

We obtain another proof of Hermite's integral for the Hurwitz zeta function.

Janusz Morawiec

The paper deals with continuous solutions of a Schilling's problem.

Erik Talvila

This is a review of the book "Garden of integrals" by Frank Burk.

Stephen Semmes

These notes are connected to a "potpourri" topics class and deal with some basic issues involving norms and convexity.

Stephen Semmes

These informal notes concern some basic themes of harmonic analysis related to representations of groups.

Stephen Semmes

These notes deal with some basic notions related to p-adic numbers and functions of p-adic numbers.

Stephen Semmes

These notes, connected to a "potpourri" topics course currently underway, are concerned with some interrelated themes of polynomials, functions on the unit circle or interval, and norms.