Results 81 to 90 of about 374 (176)

Lacunary maximal functions on homogeneous groups

Journal of Functional Analysis
20 pages, 1 table, no ...
Aswin Govindan Sheri, Jonathan Hickman, James Wright   +2 more
openaire   +3 more sources

Lacunary strong A -convergence sequence spaces defined by a sequence of moduli

Kuwait Journal of Science, 2013
The definition of lacunary strong A-convergence to a modulus is extended to a definition of lacunary strong A -convergence with respect to a sequence of moduli.
AYHAN ESI
doaj  

On the (delta,f)-lacunary statistical convergence of the functions

, 2020
In this paper, we introduce the concept of ?f -lacunary statistical convergence for a ?-measurable real-valued function defined on time scale, where f is an unbounded modulus. Our motivation here is that this definition includes many well-known concepts which already exist in the literature.
SÖZBİR, Bayram, ALTUNDAĞ, Selma, BASARIR, Metin   +2 more
openaire   +2 more sources

On an Asymptotic Property of Dirichlet Kernels

Известия Иркутского государственного университета: Серия "Математика"
The main object of our study is the Dirichlet kernel. The properties of this trigonometric polynomial — the sum of cosines of multiple arcs — are of undoubted interest in the theory of trigonometric series.
E. D. Alferova, V. E. Podolskii, V. B. Sherstyukov   +2 more
doaj   +1 more source

A version of the Uncertainty Principle for functions with lacunary Fourier transforms

Journal of Mathematical Analysis and Applications, 2003
Zygmund proved that if a function \(f\in L^2([0,1])\) has a lacunary Fourier series then, for any \(E\subset L^2([0,1])\) having positive measure, one has \(\| f\chi_E\| _2\geq C\| f\| _2\) in which \(C\) depends on \(E\) and on the lacunary support of the set of Fourier coefficients of \(f\).
openaire   +2 more sources

Maximal Functions for Lacunary Dilation Structures

, 2012
If mu is a smooth density on a hypersurface in R^d whose curvature never vanishes to infinite order, and A is a d-by-d matrix whose eigenvalues all have absolute value greater than 1, then the maximal function given by convolving f with dilates of mu by powers of A, and taking the maximum, is bounded from a corresponding version of H^1 to weak L^1.
openaire   +2 more sources

Bounds for Lacunary Bilinear Spherical and Triangle Maximal Functions

Journal of Fourier Analysis and Applications
We prove $L^p\times L^q\rightarrow L^r$ bounds for certain lacunary bilinear maximal averaging operators with parameters satisfying the Hölder relation $1/p+1/q=1/r$. The boundedness region that we get contains at least the interior of the Hölder boundedness region of the associated single scale bilinear averaging operator.
Tainara Borges, Benjamin Foster
openaire   +2 more sources

$f$-Asymptotically $\mathcal{I}_{\sigma\theta}$-Equivalence of Real Sequences

Journal of Mathematical Sciences and Modelling, 2020
In this manuscript, we present the ideas of asymptotically $[{\mathcal{I}_{\sigma\theta}}]$-equivalence, asymptotically ${\mathcal{I}_{\sigma\theta}}(f)$-equivalence, asymptotically $[{\mathcal{I}_{\sigma\theta}}(f)]$-equivalence and asymptotically ...
Erdinç Dundar, Nimet Akın
doaj  

Exponential Tail Estimates for Lacunary Trigonometric Series

Axioms
We establish precise exponential tail estimates for lacunary trigonometric sums of the form fN(x)=∑k=1Nckcos(2πnkx), under the Hadamard gap condition.
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota   +2 more
doaj   +1 more source

A {Co₉}-Added Polyoxometalate for Efficient Visible-Light-Driven Hydrogen Evolution. [PDF]

Molecules, 2023
Wang ZW, Yang GY.
europepmc   +1 more source