Lineability and integrability in the sense of Riemann, Lebesgue, Denjoy, and Khintchine

DOI10.1016/j.jmaa.2020.124433zbMath1460.46015OpenAlexW3044451363MaRDI QIDQ2657692

D. L. Rodríguez-Vidanes, Wolfgang Trutschnig, Juan Fernández-Sánchez, Juan B. Seoane-Sepúlveda

Publication date: 14 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124433

zbMATH Keywords

Riemann integralLebesgue integralalgebrabilitylineabilityDenjoy integralKhintchine integral

Mathematics Subject Classification ID

Denjoy and Perron integrals, other special integrals (26A39) Lineability in functional analysis (46B87)

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Algebraic genericity and summability within the non-Archimedean setting ⋮ Lineability, continuity, and antiderivatives in the non-Archimedean setting ⋮ Classical vs. non-Archimedean analysis: an approach via algebraic genericity

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