analysis, the Dini derivatives (or Dini derivates) are a class of generalizations of the derivative. They were introduced by Ulisse Dini, who studied continuous...

Ulisse Dini, Italian mathematician, after which are named: Dini derivative Dini test Dini's theorem Dini criterion Dini's surface Dini continuity Dini–Lipschitz...

calculations carrying along derivatives Brzozowski derivative – Function defined on formal languages in computer science Dini derivative – Class of generalisations...

(Pisa, T. Nistri, 1878) Dini continuity Dini criterion Dini derivative Dini series Dini test Dini's theorem Dini's surface Dini–Lipschitz criterion See...

Derivative (generalizations) Phase space formulation § Star product Dini derivatives Peter R. Mercer (2014). More Calculus of a Single Variable. Springer...

{\displaystyle f:X\rightarrow \mathbb {R} } , we can define the upper Dini derivative of f {\displaystyle f} by: f + ( x , u ) = lim sup h → 0 + f ( x +...

mathematics, the Denjoy–Young–Saks theorem gives some possibilities for the Dini derivatives of a function that hold almost everywhere. Denjoy (1915) proved the...

xn; (3) satisfying the boundary condition f(a) = 0; and (4) having zero derivative almost everywhere. As explained in Riesz & Sz.-Nagy (1990), every non-decreasing...

there is a dense subset of its domain on which at least one of its Dini derivatives is infinite. This applies in particular to the nowhere-differentiable...

{\displaystyle \mathrm {d} /\mathrm {d} t^{+}} is the upper right Dini derivative. Using logarithmic differentiation the differential inequality can...