of one-sided differentiability and semi-differentiability of a real-valued function f of a real variable are weaker than differentiability. Specifically...

defined around p and f(p). Generalizations of the derivative Semi-differentiability Differentiable programming Banach, S. (1931). "Über die Baire'sche Kategorie...

x}}.} In the statement of Danskin, it is important to conclude semi-differentiability of f {\displaystyle f} and not directional-derivative as explains...

such as imposing complex differentiability in the context of infinite dimensional holomorphy or continuous differentiability in nonlinear analysis. Suppose...

continuity and differentiability of the article derivative.) The differentiability of f {\displaystyle f} can be relaxed to one-sided differentiability, a proof...

Soc. p. 130. ISBN 978-1-4704-2807-5. Retrieved 7 August 2021. Projectively extended real line Semi-differentiability Limit superior and limit inferior...

derivative – Fundamental construction of differential calculus Semi-differentiability Hadamard derivative Lie derivative – A derivative in Differential...

geometry. "Differentiability" of a manifold has been given several meanings, including: continuously differentiable, k-times differentiable, smooth (which...

calculusPages displaying short descriptions of redirect targets Semi-differentiability Khalil, Hassan K. (2002). Nonlinear Systems (3rd ed.). Upper Saddle...

topological vector spaces. Fréchet differentiability is a strictly stronger condition than Gateaux differentiability, even in finite dimensions. Between...