Results 61 to 70 of about 1,546,174 (193)
Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley +1 more source
On lacunary statistical boundedness [PDF]
, 2014 A new concept of lacunary statistical boundedness is introduced. It is shown that, for a given lacunary sequence θ={kr}, a sequence {xk} is lacunary statistical bounded if and only if for ‘almost all k w.r.t.
Vinod K Bhardwaj +8 more
core +1 more source
ITM Web of Conferences, 2018 The notion of the α th order Δim - lacunary statistical convergence and α th order lacunary strongly (Δim, p)-summable sequences was introduced by Altınok et al. [1].
Et Mikail +2 more
doaj +1 more source
Weighted modulus Sθ-convergence of order α in probability
Arab Journal of Mathematical Sciences, 2017 Let θ={kr}r∈N∪{0} be a lacunary sequence, ϕ be a modulus function and {tn}n∈N be a sequence of real numbers such that tn>δ,∀n∈N (where δ is a fixed positive real number) and Tn=t1+t2+⋯+tn (where n∈N and T0=0).
Sanjoy Ghosal +2 more
doaj +1 more source
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract A real sequence Λ={λn}n=1∞$\Lambda = \lbrace \lambda _n\rbrace _{n=1}^\infty$ is called p$p$‐generating if there exists a function g$g$ whose translates {g(x−λn)}n=1∞$\lbrace g(x-\lambda _n)\rbrace _{n=1}^\infty$ span the space Lp(R)$L^p(\mathbb {R})$.
Nir Lev, Anton Tselishchev
wiley +1 more source
Lacunary weak statistical convergence [PDF]
, 2011 The aim of this work is to generalize lacunary statistical convergence to weak lacunary statistical convergence and I-convergence to weak I-convergence. We start by defining weak lacunary statistically convergent and weak lacunary Cauchy sequence.
Nuray, Fati?h
core +4 more sources
On Some New Sequence Spaces and Statistical Convergence Methods for Double Sequences
Demonstratio Mathematica, 2014 In this paper, we introduce some new double sequence spaces with respect to an Orlicz function and define two new convergence methods related to the concepts of statistical convergence and lacunary statistical convergence for double sequences.
Belen Cemal, Yildirim Mustafa
doaj +1 more source
A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order α,β
Journal 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 LACUNARY ARITHMETIC STATISTICAL CONTINUITY FOR DOUBLE SEQUENCES
International Journal of Research -GRANTHAALAYAH, 2017 In this article, we shall introduce the concept of lacunary arithmetic statistical continuity for double sequences and investigate some inclusion ...
M. M. Karagama, F. B. Ladan
openaire +3 more sources
Lacunary A–statistical convergence and lacunary strong A–convergence sequences of order (α, β) with respect to a modulus [PDF]
AIP Conference Proceedings, 2019 In this paper, the definitions of lacunary strong A-convergence of order (alpha,beta) with respect to a modulus and lacunary A-statistical convergence of order (alpha,beta) are given. We study some connections between lacunary strong A-convergence of order (alpha,beta) with respect to a modulus and lacunary A-statistical convergence of order (alpha ...
Şengül, Hacer +2 more
openaire +2 more sources