Displaying similar documents to “Multiple Lebesgue integration on time scales.”

A simplified multidimensional integral

Ágnes M. Backhausz, Vilmos Komornik, Tivadar Szilágyi (2009)

Czechoslovak Mathematical Journal

Similarity:

We present a simplified integral of functions of several variables. Although less general than the Riemann integral, most functions of practical interest are still integrable. On the other hand, the basic integral theorems can be obtained more quickly. We also give a characterization of the integrable functions and their primitives.

On integration of vector functions with respect to vector measures

José Rodríguez (2006)

Czechoslovak Mathematical Journal

Similarity:

We study integration of Banach space-valued functions with respect to Banach space-valued measures. We focus our attention on natural extensions to this setting of the Birkhoff and McShane integrals. The corresponding generalization of the Birkhoff integral was first considered by Dobrakov under the name S * -integral. Our main result states that S * -integrability implies McShane integrability in contexts in which the later notion is definable. We also show that a function is measurable and...