Local generalizations of the derivatives on the real line

•The article establishes the properties of the generalized (g-) derivatives on the real line.•Derivatives are generalized in terms of the class of the modulus of continuity of the primitive function.•Strictly sub-additive moduli induce g-derivatives which do not vanish only on totally-disconnected s...

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Veröffentlicht in:	Communications in nonlinear science & numerical simulation 2021-05, Vol.96, p.105576, Article 105576
1. Verfasser:	Prodanov, Dimiter
Format:	Artikel
Sprache:	eng
Schlagworte:	Continuity (mathematics) Derivatives Hölder classes Lipschitz condition Mathematical analysis Mathematical models Mechanical properties Moduli of continuity Non-differentiable functions Topology
Online-Zugang:	Volltext
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