Applications of non-Newtonian calculus for classical spaces and Orlicz functions

DOI10.1007/s13370-018-0646-5zbMath1438.26001OpenAlexW2903748074WikidataQ128786943 ScholiaQ128786943MaRDI QIDQ2315564

Charu Sharma, Kuldip Raj

Publication date: 25 July 2019

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-018-0646-5

zbMATH Keywords

non-Newtonian calculusOrlicz functionsgeometric complex numbersparanorm space

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Summability and bases in topological vector spaces (46A35) One-variable calculus (26A06)

Cites Work

• Some new results on sequence spaces with respect to non-Newtonian calculus
• On modeling with multiplicative differential equations
• Multiplicative type complex calculus as an alternative to the classical calculus
• Orlicz spaces and modular spaces
• New difference sequence spaces defined by Musielak-Orlicz function
• On certain generalized paranormed spaces
• Certain sequence spaces over the non-Newtonian complex field
• Multiplicative calculus and its applications
• Spaces of continuous and bounded functions over the field of geometric complex numbers
• On Orlicz sequence spaces
• Convergence Methods for Double Sequences and Applications
• Some basic results on the sets of sequences with geometric calculus
• On some classes of sequences defined by sequences of Orlicz functions
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