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

QB Cai, SK Sharma… - Journal of Function …, 2022 - Wiley Online Library
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= I k. Our aim in this …

[HTML][HTML] Linear isomorphic spaces of fractional-order difference operators

SA Mohiuddine, K Raj, M Mursaleen… - Alexandria Engineering …, 2021 - Elsevier
In the present paper, we intend to make an approach to introduce and study the applications
of fractional-order difference operators by generating Orlicz almost null and almost …

Some properties of pre-quasi norm on Orlicz sequence space

AA Bakery, ARA Elmatty - Journal of Inequalities and Applications, 2020 - Springer
In this article, we introduce the concept of pre-quasi norm on E (Orlicz sequence space),
which is more general than the usual norm, and give the conditions on E equipped with the …

Invariant means and lacunary sequence spaces of order (α, β)

M Ayman-Mursaleen, M Nasiruzzaman… - Demonstratio …, 2024 - degruyter.com
In this article, we use the notion of lacunary statistical convergence of order (α, β) to
introduce new sequence spaces by lacunary sequence, invariant means defined by …

Some vector valued sequence spaces of Musielak-Orlicz functions and their operator ideals

M Mursaleen, K Raj - Mathematica Slovaca, 2018 - degruyter.com
In the present paper we introduce generalized vector-valued Musielak-Orlicz sequence
space l (A, 𝓜, u, p, Δ r,∥·,…,·∥)(X) and study some geometric properties like uniformly …

Sequence spaces over -normed spaces defined by a Musielak-Orlicz function of order ()

SK Sharma, SA Mohiuddine… - Facta Universitatis …, 2019 - casopisi.junis.ni.ac.rs
In the present paper we introduce sequence spaces over $ n $-normed spaces defined by a
Musielak-Orlicz function $\mathcal {M}=(M_k) $ of order $(\alpha,\beta) $. We examine some …

A novel sequence space related to defined by Orlicz function with application in pattern recognition

MS Khan, QMD Lohani - Journal of inequalities and applications, 2017 - Springer
In the field of pattern recognition, clustering groups the data into different clusters on the
basis of similarity among them. Many a time, the similarity level between data points is …

New Lacunary sequence spaces defined by fractional difference operator

SK Sharma - International Journal of Nonlinear Analysis and …, 2022 - ijnaa.semnan.ac.ir
In the present paper, we introduce new lacunary strong convergent vector-valued sequence
spaces defined by fractional difference operator and Musielak-Orlicz function. We make an …

[PDF][PDF] Difference Cesáro Function Space on Rooted Tree Defined by Musielak-Orlicz Function

AF Alsaedy, SH Alshabhi, V Kumar… - International Journal of …, 2025 - etamaths.com
Difference Cesáro Function Space on Rooted Tree Defined by Musielak-Orlicz Function Page
1 Int. J. Anal. Appl. (2025), 23:1 Difference Cesáro Function Space on Rooted Tree Defined by …

On some new difference sequence spaces derived by using Riesz mean and a Musielak-Orlicz function

K Raj, R Anand - Konuralp Journal of Mathematics, 2016 - dergipark.org.tr
In this paper we introduce new difference sequence spaces r^q(M,\Δ^m_n,u,p) by using
Riesz mean and Musielak-Orlicz function. We also make an effort to study some topological …