Results 251 to 260 of about 357,838 (283)

Absolutely Continuous Functions and Sobolev Spaces

1999
Abstract In this chapter we shall introduce and discuss the class of absolutely continuous functions. There are essentially two ways of introducing these functions, namely the classical one going back to Vitali and Tonelli, and the more functional-analytic way in terms of the so-called Sobolev spaces.
Giuseppe Buttazzo, Mariano Giaquinta, Stefan Hildebrandt   +2 more
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Absolute Continuity of Some Vector Functions and Measures

Canadian Journal of Mathematics, 1972
In the theory of vector valued functions there is a theorem which states that if a function from a compact interval I into a normed linear space X is of weak bounded variation, then it is of bounded variation. The proof uses in a straightforward way the Uniform
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Approximation of absolutely continuous functions by stancu beta operators

Ukrainian Mathematical Journal, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Functions with Bounded Variation and Absolutely Continuous Functions

2020
The Riemann integral can be considered an evolution of Cauchy’s integral, in that certain functions that are not integrable according to Cauchy become integrable in Riemann’s theory. At the same time, alas, in the new framework integration is no longer the inverse operation to differentiation.
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Absolutely continuous subgradients of nonconvex integral functionals

Nonlinear Analysis: Theory, Methods & Applications, 1987
Let (T,\(\Sigma\),\(\mu)\) be a complete, \(\sigma\)-finite measure space, with \(\mu\) positive. This paper concerns the functional J defined on \(L^{\infty}(T,\Sigma,\mu;{\mathbb{R}}^ n)\) via \[ J(x)=\int_{T}f(t,x(t))d\mu (t), \] where f is \(\Sigma\times {\mathcal B}^ n\)-measurable in (t,x) and lower semicontinuous in x.
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ABSOLUTELY CONTINUOUS FUNCTIONS

1961
S. HARTMAN, J. MIKUSIŃSKI
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Approximate Local Isometries on Spaces of Absolutely Continuous Functions

Results in Mathematics, 2021
Maliheh Hosseini, Antonio Jiménez Vargas   +1 more
exaly  

A REMARK ON ABSOLUTELY CONTINUOUS FUNCTIONS

Real Analysis Exchange, 1989
null Goffman, null Liu
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Absolutely continuous functions

2018
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Isometries on spaces of absolutely continuous vector-valued functions

Journal of Mathematical Analysis and Applications, 2018
Maliheh Hosseini
exaly