Convergence for varying measures

Abstract

Some limit theorems of the type ${\int }_{\Omega }{f}_{n}d{m}_n---->{\int }_{\Omega }fdm$ are presented for scalar, (vector), (multi)-valued sequences of m_n-integrable functions f_n. The convergences obtained, in the vector and multivalued settings, are in the weak or in the strong sense.

arXiv comment27 pages, preprint

References in corpus (3)

• Gauge integrals and selections of weakly compact valued multifunctions
• Relations among Gauge and Pettis integrals for $cwk(X)$-valued multifunctions
• Some new results on integration for multifunction

Cited by in corpus (2)

• A comparison among a fuzzy algorithm for image rescaling with other methods of digital image processing
• Convergence for varying measures in the topological case