Results 31 to 40 of about 5,146,047 (210)

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

ON SOME NEW DOUBLE LACUNARY SEQUENCES SPACES VIA ORLICZ FUNCTION [PDF]

open access: yes, 2009
In this paper we define and study two concepts which arise from the notions of invariant means and lacunary sequences namely: double lacunary strong sigma- convergence defined by Orlicz function and uniform (theta,sigma)statistical convergence and ...
Savaş, Ekrem
core   +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

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

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

Bounds for Lacunary maximal functions given by Birch–Magyar averages [PDF]

open access: yesTransactions of the American Mathematical Society, 2021
We obtain positive and negative results concerning lacunary discrete maximal operators defined by dilations of sufficiently nonsingular hypersurfaces arising from Diophantine equations in many variables. Our negative results show that this problem differs substantially from that of lacunary discrete maximal operators defined along a nonsingular ...
Cook, Brian, Hughes, Kevin
openaire   +2 more sources

Centered Polygonal Lacunary Graphs: A Graph Theoretic Approach to p-Sequences of Centered Polygonal Lacunary Functions

open access: yesMathematics, 2019
This work is on the nature and properties of graphs which arise in the study of centered polygonal lacunary functions. Such graphs carry both graph-theoretic properties and properties related to the so-called p-sequences found in the study of centered ...
Keith Sullivan   +2 more
doaj   +1 more source

Lacunary differentiability of functions in

open access: yesJournal of Approximation Theory, 1984
AbstractThe existence of directional derivatives of functions in the Sobolev spaces Lpk(Rn) is studied. The novelty consists in calculating them through lacunary incremental quotients. Under these conditions no restrictions on p are necessary; the condition p > (nk) can be dropped.
openaire   +1 more source

LACUNARY STATISTICAL HARMONIC SUMMABILITY [PDF]

open access: yes, 2022
In this paper, the concepts of lacunary (H,1) summability, lacunary strongly harmonically summability, lacunary statistical (H,1) summability, lacunary statistical logarithmic convergence of sequences of real numbers are introduced and relations between ...
Nuray, Fatih
core   +1 more source

Lacunary series in QK type spaces

open access: yesJournal of Function Spaces and Applications, 2008
Under mild conditions on the weight function K we characterize lacunary series in QK(p,q) spaces, where QK(p,q) spaces are QK type spaces of functions analytic in the unit disk.
Jizhen Zhou
doaj   +1 more source

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