Vector valued double sequence spaces defined by Orlicz function

DOI10.2478/s12175-009-0162-zzbMath1212.46013OpenAlexW2126485518MaRDI QIDQ3648370

Binod Chandra Tripathy, Bipul Sarma

Publication date: 25 November 2009

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-009-0162-z

zbMATH Keywords

Orlicz functionseminormregular convergence

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Sequence spaces (including Köthe sequence spaces) (46A45) Multiple sequences and series (40B05)

Related Items (26)

The Cesàro \(\chi ^{2}\) of tensor products in Orlicz sequence spaces ⋮ The entire sequence over Musielak \(p\)-metric space ⋮ Unnamed Item ⋮ Mappings of type special space of sequences ⋮ The double almost \((\lambda_{m}\mu_{n})\) convergence in \(\Gamma^{2}\)-Riesz space defined by a Musielak-Orlicz function ⋮ General convexity of some functionals in seminormed spaces and seminormed algebras ⋮ Multidimensional Statistical Convergence in Credibility Theory ⋮ Fuzzy real valued \(P\)-absolutely summable multiple sequences in probabilistic normed spaces ⋮ Unnamed Item ⋮ Relative uniform convergence of double sequence of positive linear functions defined by Orlicz function ⋮ Double sequence spaces defined over an \(n\)-normed sequence space ⋮ ON PARANORMED TYPE p-ABSOLUTELY SUMMABLE UNCERTAIN SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS ⋮ Multiple sequences in probabilistic normed spaces ⋮ The spectrum of the operator \(D(r,0,s,0,t)\) over the sequence spaces \(\ell_p\) and \(bv_p\) ⋮ Unnamed Item ⋮ Ordered Vector Valued Double Sequence Spaces ⋮ Some classes of difference sequence spaces of fuzzy real numbers defined by Orlicz function ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Statistical convergence of double sequences on product time scales ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Canonical Orlicz class 𝒦𝒮−𝜃[ℝJn]

Cites Work

• On a class of generalized lacunary difference sequence spaces defined by Orlicz functions
• Extensions of the spaces \(c\) and \(c_ 0\) from single to double sequences
• Analogues of some fundamental theorems of summability theory
• On Orlicz sequence spaces
• Almost convergence of double sequences and strong regularity of summability matrices
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