Results 61 to 70 of about 3,883 (229)

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

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

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

Generalized Rough Cesaro and Lacunary Statistical Triple Difference Sequence Spaces in Probability of Fractional Order Defined by Musielak-Orlicz Function

International Journal of Analysis and Applications, 2018
We generalized the concepts in probability of rough Ces$\grave{a}$ro and lacunary statistical by introducing the difference operator $\Delta^{\alpha}_{\gamma}$ of fractional order, where $\alpha$ is a proper fraction and $\gamma=\left(\gamma_{mnk}\right)$
A. Esi, N. Subramanian
doaj   +2 more sources

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

Statistical convergence of new type difference sequences with Caputo fractional derivative

AIMS Mathematics, 2022
In this study, we discuss the idea of difference operators $ \Delta _{p}^{\alpha }, \Delta _{p}^{\left(\alpha \right) } $ $ \left(\alpha \in \mathbb{R}\right) $ and examine some properties of these operators.
Abdulkadir Karakaş
doaj   +1 more source

The pointwise convergence of Fourier Series (I). On a conjecture of Konyagin [PDF]

, 2016
We provide a near-complete classification of the Lorentz spaces $\Lambda_{\varphi}$ for which the sequence $\{S_{n}\}_{n\in \mathbb{N}}$ of partial Fourier sums is almost everywhere convergent along lacunary subsequences. Moreover, under mild assumptions
Lie, Victor
core  

Lacunary sequences related to statistical convergence

Annals of Communications in Mathematics, 2020
In this manuscript, our concern is to introduce the new approach of studying the lacunary almost statistical convergence and strongly almost convergence of the generalized difference sequences of fuzzy numbers. Some interesting and basic properties concerning them will be studied.
openaire   +2 more sources

Analogues of Whittker's theorem for Laplace-Stieltjes integrals

Karpatsʹkì Matematičnì Publìkacìï, 2016
For the maximum of the integrand of Laplace-Stieltjes integral the lower estimates on sequence are found. Using the estimates we obtained analogues of Whittaker's theorem for entire functions given by lacunary power series.
M.S. Dobushovskyy, M.M. Sheremeta
doaj   +1 more source