2021/10/23 by Orhan Tuǧ, Viladimir Rakočević, Vladimir Rakočević +1
Chemistry · Mathematics · #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Banach space #Chemistry #Combinatorics #Domain (mathematical analysis) #Holomorphic and Operator Theory #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Operator (biology) #Order (exchange) #Physics #Pure mathematics #Schauder basis #Sequence (biology) #Sequence space #Space (punctuation) #Transformation matrix
paper · doi:10.1080/03081087.2021.1991875
openalex publication_date 2021/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
In this article, domain of the third order generalized difference operator Δi3 in Hahn sequence space h is introduced. Some topological properties and inclusion relations are shown. Additionally, Schauder basis of the new Hahn sequence space h(Δi3) is calculated and α−, β− and γ−dual of the space h(Δi3) are computed. In the last section, some new matrix classes (h;bv), (h;bvp), (h;bv∞), (h;bs), (h;cs), (bv;h), (bv0;h), (bs;h), (cs0;h), (cs;h) are characterized. We conclude the paper with characterization of the classes (h(Δi3);μ) and (μ;h(Δi3)) where μ=c,c0,ℓ1,ℓp,ℓ∞,h,bs,cs,cs0,bv,bv0.