Results 151 to 160 of about 374 (176)

Lacunary Poisson Functions and Axial Harmonic Polynomials

Journal of the London Mathematical Society, 1991
``Our purpose is to produce three sharp results on three apparently independent subjects in the theory of harmonic functions.'' Let \(h(x)\), \(x=(x_ 1,x_ 2,\dots,x_ m)\), be a harmonic polynomial of degree \(m\) in \(R^ N\), \(N\geq 2\), such that \(h(0)=1\), \(h>0\) in the unit ball \(r\leq 1\).
Armitage, D. H., Kuran, Ü.
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Weighted Lacunary Maximal Functions on Curves

Canadian Mathematical Bulletin, 1995
AbstractLet γ(t) = (t, t2,..., tn) + a be a curve in Rn, where n ≥ 2 and a ∊ Rn. We prove LP-Lq estimates for the weighted lacunary maximal function, related to this curve, defined byIf n = 2 or 3 our results are (nearly) sharp.
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Norms of lacunary polynomials in functional spaces

Mathematical Notes, 1992
Let \(\Lambda\) be the space of functions \(f\) of the form \(f(x)= a_ 0+ \sum^ \infty_{k=1} a_ k\cos(n_ k x+ \psi_ k)\), where \(a_ k\in\mathbb{R}\), \(n_ k\in\mathbb{R}\), \(\psi_ k\in\mathbb{R}\) and \(n_{k+1}/n_ k\geq \lambda>1\) for some \(\lambda\), \(k=1,2,\dots,\) \((a_ k)\in l_ 2\). It is stated that \(\Lambda\subset\text{BMO}\) and the norm \(
Belov, A. S., Rodin, V. A.
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\sigma-ASYMPTOTICALLY LACUNARY STATISTICAL EQUIVALENT FUNCTIONS ON AMENABLE SEMIGROUPS

Far East Journal of Applied Mathematics, 2017
[Abstract Not Available]
Kişi, Ömer, Güler, Erhan, Kişi, Ömer   +2 more
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An Example of a Fast-Decreasing (p, A)-Lacunary Function

Journal of Mathematical Sciences, 2003
Let \(A>0\) and ...
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On Pointwise Lacunary Statistical Convergence of Order α of Sequences of Function

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Et, Mikail, Sengul, Hacer
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Approximation by lacunary polynomials and applications to universal functions

Analysis, 2003
The authors extend Runge's theorem on the uniform approximation by polynomials to the lacunary case. Let a subsequence \(Q\) of the non-negative integers be given, with positive lower Poisson density \[ \Delta(Q) = {2\over \pi} \limsup_{s\to\infty} \int_0^{\infty}\,{n(t)\over t}{s\over t^2+s^2}\,dt>0 \] (here \(n(t)\) is the number of elements of \(Q\)
Gharibyan, Tatevik L., Luh, Wolfgang, Müller, Jürgen   +2 more
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Modulated Lacunary Statistical and Strong-Cesàro Convergences

Symmetry, 2023
Maria Del Pilar Romero- De La Rosa
exaly  

The lacunary spherical maximal function

2023
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Lacunary Möbius Fractals on the Unit Disk

Symmetry, 2021
Darin Ulness, Leah Mork
exaly