Some new results on sequence spaces with respect to non-Newtonian calculus

DOI10.1186/1029-242X-2012-228zbMath1279.26006OpenAlexW2106002651WikidataQ21146957 ScholiaQ21146957MaRDI QIDQ385851

Ahmet Faruk Çakmak, Feyzi Basşar

Publication date: 11 December 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-228

zbMATH Keywords

non-Newtonian calculusalgebraic structures with respect to non-Newtonian calculusnon-Newtonian inequalitiesnon-Newtonian sequence spaces

Mathematics Subject Classification ID

Structure theory of algebraic structures (08A05) One-variable calculus (26A06) Nonstandard arithmetic (number-theoretic aspects) (11U10)

Related Items (20)

Fixed points of non-Newtonian contraction mappings on non-Newtonian metric spaces ⋮ A new type of Sturm-Liouville equation in the non-Newtonian calculus ⋮ Generalized Runge-Kutta method with respect to the non-Newtonian calculus ⋮ Non-Newtonian approach to C∗− algebras ⋮ Cesàro summable sequence spaces over the non-Newtonian complex field ⋮ Unnamed Item ⋮ Non-Newtonian comment of Lebesgue measure in real numbers ⋮ Unnamed Item ⋮ Statistical convergence on non-Newtonian calculus ⋮ A new view of some operators and their properties in terms of the non-Newtonian calculus ⋮ Multiplicative derivative and its basic properties on time scales ⋮ Bigeometric Cesàro difference sequence spaces and Hermite interpolation ⋮ A note on linear non-Newtonian Volterra integral equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A generalization on weighted means and convex functions with respect to the non-Newtonian calculus ⋮ Some basic properties of bigeometric calculus and its applications in numerical analysis ⋮ Arithmetic summable sequence space over non-Newtonian field ⋮ Applications of non-Newtonian calculus for classical spaces and Orlicz functions ⋮ On characterization of non-Newtonian superposition operators in some sequence spaces

Cites Work

• Multiplicative type complex calculus as an alternative to the classical calculus
• Determination of the duals of classical sets of sequences of fuzzy numbers and related matrix transformations
• Multiplicative calculus and its applications
• The Sequence Spaces l (p_v ) and m (p_v )
• SPACES OF STRONGLY SUMMABLE SEQUENCES

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