Results 221 to 230 of about 19,516 (268)

Decomposed Gaussian Processes for Efficient Regression Models with Low Complexity. [PDF]

Entropy (Basel)
Fradi A, Tran TT, Samir C.
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Absolutely Continuous Functions

2015
Let \(f:[a,b]\rightarrow \mathbb R\) be a continuous function and let \(F:[a,b]\rightarrow \mathbb R\) be continuously differentiable.
Piermarco Cannarsa, Teresa D’Aprile
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Orderable Set Functions and Continuity. III: Orderability and Absolute Continuity

SIAM Journal on Control and Optimization, 1977
The concepts of orderability and absolute continuity of set functions were introduced by Aumann and Shapley (1974). They showed that every absolutely continuous set function is orderable. The main result of this paper is to show that the converse is false.
Aumann, Robert J., Rothblum, Uriel G.
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On Absolutely Continuous Functions

The American Mathematical Monthly, 1965
(1965). On Absolutely Continuous Functions. The American Mathematical Monthly: Vol. 72, No. 8, pp. 831-841.
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Properties of Absolutely Continuous Functions

2018
Absolutely continuous functions are an important class of functions for both applications and theory. Every polynomial of a finite order as well as every differentiable function is absolutely continuous. Moreover, any solution of an ordinary differential equation is absolutely continuous, since the latter is at least one times differentiable.
Valeriĭ V. Buldygin, Karl-Heinz Indlekofer, Oleg I. Klesov, Josef G. Steinebach   +3 more
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Refinement-Unbounded Interval Functions and Absolute Continuity

Canadian Journal of Mathematics, 1965
In this paper we prove the following characterization theorem (Section 3) :Theorem 1. If each of g and m is a real-valued non-decreasing function on the number interval [a, b], then the following two statements are equivalent: (1) If R is a real-valued, refinement-unbounded (Section 3) function of subintervals of [a, b], then the integral (Section 2 ...
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Integrable and absolutely continuous vector-valued functions

Rocky Mountain Journal of Mathematics, 2022
Let \(\left( X,\mathcal{A},\mu \right) \) be a complete \(\sigma \)-finite measure space and \(\left( V,\mathcal{O}\right) \) be a Hausdorff locally convex topological \(F\)-vector space, \(F\in \left\{ \mathbb{R},\mathbb{C} \right\} \). In the paper the author develop a theory of integrability of functions \(f:X\rightarrow V\).
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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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