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Transcendental Cantor Sets and Functions by BRNSS Publication Hub Info is a document available to read on EtoBox.
This research article discusses generalized Cantor sets and functions. It introduces two ways to generalize self-similar sets: 1) Cantor sets Cn({i}) with an arbitrary base n, for which a unique probability measure μ is defined. 2) Irregular or transcendental Cantor sets generated by transcendental numbers like e, denoted as C3(10-2e). A generalized Cantor function G is defined on these sets. Key results established include the Holder continuity of G and the existence of a cumulative probability distributio
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- BRNSS Publication Hub Info
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- EN