Derivatives not first return integrable on a fractal set

DOI10.1007/s11587-018-0390-zzbMath1402.26006OpenAlexW2795989506MaRDI QIDQ1623045

Donatella Bongiorno

Publication date: 22 November 2018

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10447/427154

zbMATH Keywords

Henstock-Kurzweil integral\(s\)-dimensional Hausdorff measure\(s\)-set\(s\)-derivativefirst return integral

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Fractals (28A80) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (1)

Einstein field equations extended to fractal manifolds: a fractal perspective

Cites Work

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• A first return examination of the Lebesgue integral.
• On the first-return integrals
• Functions not first-return integrable
• Some fundamental results of calculus on fractal sets
• ON THE FUNDAMENTAL THEOREM OF CALCULUS FOR FRACTAL SETS
• Riemann-Type Definition of the Improper Integrals
• CALCULUS ON FRACTAL SUBSETS OF REAL LINE — I: FORMULATION

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