One class of continuous functionswith complicated local properties related to Engel series

DOI10.7169/facm/1963OpenAlexW4312387068MaRDI QIDQ6164759

Mykola V. Pratsiovytyi, Oleksandr Baranovskyi

Publication date: 28 July 2023

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7169/facm/1963

zbMATH Keywords

singular functioncontinuous functionEngel serieslevel set of functionnowhere monotonic function\(E\)-representation of numberscale invariance of graph of function

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Systems of functional equations and inequalities (39B72)

Related Items

Normal properties of numbers in terms of their representation by the Perron series

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