Work

A study on q-analogue of generalized Motzkin sequence spaces, their matrix transformations and compact operators

Year: 2025

Type: article

Abstract: In this article, we have constructed generalized q-difference Motzkin sequence spaces [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] by composing q-Motzkin matrix with generalized q-difference matrix in the spaces [Formula: see text], respectively and explore their topological properties. We determine the bases for [Formula: see text] and [Formula: see text] and compute α-, β- and γ-duals of the newly defined spaces. Further, we characterize some class of matrix mappings from the spaces [Formula: see text] and [Formula: see text] to the spaces [Formula: see text]. Lastly, compact operators are characterized on the spaces [Formula: see text] using Hausdorff measure of noncompactness.

Source: PLoS ONE

DOI: 10.1371/journal.pone.0329210

Authors: Jun-Jie Quan, Devia Narrania, Kuldip Raj, Qing-Bo Cai

Institutions: Jimei University, Chengyi College, Jimei University, Shri Mata Vaishno Devi University, Quanzhou Normal University

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,382

Funders: National Natural Science Foundation of China, Natural Science Foundation of Fujian Province