Results 31 to 40 of about 4,067 (192)

Computing low-degree factors of lacunary polynomials: a Newton-Puiseux approach [PDF]

open access: yes, 2014
We present a new algorithm for the computation of the irreducible factors of degree at most $d$, with multiplicity, of multivariate lacunary polynomials over fields of characteristic zero.
Grenet, Bruno
core   +4 more sources

A Triple Lacunary Generating Function for Hermite Polynomials [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2005
Some of the classical orthogonal polynomials such as Hermite, Laguerre, Charlier, etc. have been shown to be the generating polynomials for certain combinatorial objects. These combinatorial interpretations are used to prove new identities and generating functions involving these polynomials.
Gessel, Ira M., Jayawant, Pallayi
openaire   +3 more sources

On fully split lacunary polynomials in finite fields [PDF]

open access: yes, 2011
We estimate the number of possible types degree patterns of $k$-lacunary polynomials of degree $t < p$ which split completely modulo $p$. The result is based on a combination of a bound on the number of zeros of lacunary polynomials with some graph ...
Bibak, Khodakhast, Shparlinski, Igor E.
core   +1 more source

New Definitions about A I -Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences

open access: yesAxioms, 2018
In this paper, using an infinite matrix of complex numbers, a modulus function and a lacunary sequence, we generalize the concept of I -statistical ...
Ömer Kişi   +2 more
doaj   +1 more source

A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order α,β

open access: yesJournal of Function Spaces, 2022
In the present paper, we defined lacunary sequence spaces of fractional difference operator of order α,β over n-normed spaces via Musielak-Orlicz function M=Ik.
Qing-Bo Cai   +2 more
doaj   +1 more source

Orlicz arithmetic convergence defined by matrix transformation and lacunary sequence [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2020
In this paper we introduce and study some spaces of Orlicz arithmetic convergence sequences with respect to matrix transformation and lacunary sequence.
Kuldip Raj, Anu Choudhary
doaj   +1 more source

The Cesáro Lacunary Ideal bounded linear operator of χ2 - of φ-statistical vector valued defined by a bounded linear operator of interval numbers [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2017
Let   uv mn A be a sequence of bounded linear operators from a separable Banach metric space of (X , 0) into a Banach metric space (Y, 0). Suppose that φ ∈ Φ is a countable fundamental set of X and the ideal I - of subsets \mathbb{N} x \mathbb{N ...
Deepmala   +2 more
doaj   +1 more source

Lacunary Discrete Spherical Maximal Functions

open access: yes, 2018
We prove new $\ell ^{p} (\mathbb Z ^{d})$ bounds for discrete spherical averages in dimensions $ d \geq 5$. We focus on the case of lacunary radii, first for general lacunary radii, and then for certain kinds of highly composite choices of radii.
Kesler, Robert   +2 more
openaire   +3 more sources

Problems on averages and lacunary maximal functions [PDF]

open access: yesBanach Center Publications, 2011
We prove three results concerning convolution operators and lacunary maximal functions associated to dilates of measures. First, we obtain an $H^1$ to $L^{1,\infty}$ bound for lacunary maximal operators under a dimensional assumption on the underlying measure and an assumption on an $L^p$ regularity bound for some $p>1$.
Wright, James, Seeger, Andreas
openaire   +3 more sources

On the maximal directional Hilbert transform in three dimensions

open access: yes, 2018
We establish the sharp growth rate, in terms of cardinality, of the $L^p$ norms of the maximal Hilbert transform $H_\Omega$ along finite subsets of a finite order lacunary set of directions $\Omega \subset \mathbb R^3$, answering a question of Parcet and
Di Plinio, Francesco, Parissis, Ioannis
core   +1 more source

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