Relativization of some aspects of the theory of functions of bounded variation

Krishna M. Garg

Displaying similar documents to “Relativization of some aspects of the theory of functions of bounded variation”

On Schur convexity of some symmetric functions.

Xia, Wei-Feng, Chu, Yu-Ming (2010)

Journal of Inequalities and Applications [electronic only]

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A descriptive definition of a BV integral in the real line

Diana Caponetti, Valeria Marraffa (1999)

Mathematica Bohemica

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A descriptive characterization of a Riemann type integral, defined by BV partition of unity, is given and the result is used to prove a version of the controlled convergence theorem.

Convergence theorems for the PU-integral

Giuseppa Riccobono (2000)

Mathematica Bohemica

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We give a definition of uniform PU-integrability for a sequence of $μ$ -measurable real functions defined on an abstract metric space and prove that it is not equivalent to the uniform $μ$ -integrability.

Convergence theorems for the Birkhoff integral

Marek Balcerzak, Monika Potyrała (2008)

Czechoslovak Mathematical Journal

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We give sufficient conditions for the interchange of the operations of limit and the Birkhoff integral for a sequence $(f_{n})$ of functions from a measure space to a Banach space. In one result the equi-integrability of $f_{n}$ ’s is involved and we assume $f_{n} \to f$ almost everywhere. The other result resembles the Lebesgue dominated convergence theorem where the almost uniform convergence of $(f_{n})$ to $f$ is assumed.

Limiting behavior of the perturbed empirical distribution functions evaluated at $U$ -statistics for strongly mixing sequences of random variables.

Sun, Shan, Chiang, Ching-Yuan (1997)

Journal of Applied Mathematics and Stochastic Analysis

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Displaying similar documents to “Relativization of some aspects of the theory of functions of bounded variation”

On Schur convexity of some symmetric functions.

A descriptive definition of a BV integral in the real line

Convergence theorems for the PU-integral

Convergence theorems for the Birkhoff integral

Limiting behavior of the perturbed empirical distribution functions evaluated at U -statistics for strongly mixing sequences of random variables.

Limiting behavior of the perturbed empirical distribution functions evaluated at $U$ -statistics for strongly mixing sequences of random variables.