derivative of bounded variation
1Bounded variation — In mathematical analysis, a function of bounded variation refers to a real valued function whose total variation is bounded (finite): the graph of a function having this property is well behaved in a precise sense. For a continuous function of a… …
2Bounded deformation — In mathematics, a function of bounded deformation is a function whose distributional derivatives are not quite well behaved enough to qualify as functions of bounded variation, although the symmetric part of the derivative matrix does meet that… …
3Derivative — This article is an overview of the term as used in calculus. For a less technical overview of the subject, see Differential calculus. For other uses, see Derivative (disambiguation) …
4Reduced derivative — In mathematics, the reduced derivative is a generalization of the notion of derivative that is well suited to the study of functions of bounded variation. Although functions of bounded variation have derivatives in the sense of Radon measures, it …
5Itō calculus — Itō calculus, named after Kiyoshi Itō, extends the methods of calculus to stochastic processes such as Brownian motion (Wiener process). It has important applications in mathematical finance and stochastic differential equations.The central… …
6Absolute continuity — In mathematics, the relationship between the two central operations of calculus, differentiation and integration, stated by fundamental theorem of calculus in the framework of Riemann integration, is generalized in several directions, using… …
7Riemann-Stieltjes integral — In mathematics, the Riemann Stieltjes integral is a generalization of the Riemann integral, named after Bernhard Riemann and Thomas Joannes Stieltjes. DefinitionThe Riemann Stieltjes integral of a real valued function f of a real variable with… …
8Convolution — For the usage in formal language theory, see Convolution (computer science). Convolution of two square pulses: the resulting waveform is a triangular pulse. One of the functions (in this case g) is first reflected about τ = 0 and then offset by t …
9List of real analysis topics — This is a list of articles that are considered real analysis topics. Contents 1 General topics 1.1 Limits 1.2 Sequences and Series 1.2.1 Summation Methods …
10Helly's selection theorem — In mathematics, Helly s selection theorem states that a sequence of functions that is locally of bounded total variation and uniformly bounded at a point has a convergent subsequence. In other words, it is a compactness theorem for the space… …
