On Generalized Orlicz Sequence Spaces Defined by Double Sequences

DOI10.1515/fascmath-2015-0015zbMath1354.46008OpenAlexW2563624405MaRDI QIDQ2809980

Enno Kolk

Publication date: 30 May 2016

Published in: Fasciculi Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fascmath-2015-0015

zbMATH Keywords

sequence spaceOrlicz functionmodulus functionparanormdouble sequence\(\varphi\)-functionmatrix methodstrong summability\(F\)-seminormSM method

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Matrix methods for summability (40C05) Sequence spaces (including Köthe sequence spaces) (46A45) Absolute and strong summability (40F05)

Cites Work

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• Some \(\lambda\)-sequence spaces defined by Orlicz functions
• On some new Orlicz sequence spaces
• F-seminorms on generalized double sequence spaces defined by modulus functions
• Some new sequence spaces defined by a sequence of Orlicz functions