Results 61 to 70 of about 1,622,947 (195)

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, Mandobi Banerjee, Avishek Ghosh   +2 more
doaj   +1 more source

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 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, Et, Mikail, Cakalli, Hüseyin   +2 more
openaire   +2 more sources

Completeness of sparse, almost integer, and finite local complexity sequences of translates in Lp(R)$L^p(\mathbb {R})$

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

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

Some triple difference rough Cesàro and lacunary statistical sequence spaces [PDF]

, 2018
We generalized the concepts in probability of rough Cesàro and lacunary statistical by introducing the difference operator $\Delta_{\gamma}^{\alpha}$ of fractional order, where $\alpha$ is a proper fraction and $\gamma = (\gamma_{mnk})$ is any fixed ...
Subramanian, N., Esi, A.
core   +1 more source

The Role of Lacunary Statistical Convergence for Double sequences in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
This paper introduces and explores the concept of lacunary statistical convergence of double sequence within the framework neutrosophic normed spaces. Neutrosophic normed spaces extend classical normed spaces by incorporating neutrosophic numbers, which ...
Jenifer. P, Jeyaraman. M
doaj   +1 more source

On a Generalized Difference Sequence Spaces of Fractional Order associated with Multiplier Sequence Defined by A Modulus Function

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
Let Γ(m) denotes the gamma function of a real number m∉{0,-1,-2,…}. Then the difference matrix Δ^α of a fractional order α is defined as (Δ^α v)_k=∑_i〖(-1)^i (Γ(α+1))/(i!Γ(α-i+1)) v_(k+i) 〗.Using the difference operator Δ^α, we introduce paranormed ...
Taja Yayıng
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, Sunil K. Sharma, Mohammad Ayman Mursaleen   +2 more
doaj   +1 more source