Quasi-uniform and uniform convergence of Riemann and Riemann-type integrable functions with values in a Banach space

DOI10.2298/FIL2006899MzbMath1504.46053MaRDI QIDQ5865266

Sk. Jaker Ali, Pratikshan Mondal, Lakshmi Kanta Dey

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

uniform convergencequasi-uniform convergenceequi-integrabilitypartially equi-regulated*regulated* function

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Convergence and divergence of series and sequences of functions (40A30) Vector-valued measures and integration (46G10) Convergence and divergence of integrals (40A10) Calculus of functions taking values in infinite-dimensional spaces (26E20)

Cites Work

• Nets and sequences of Riemann and Riemann-type integrable functions with values in a Banach space
• The notion of exhaustiveness and Ascoli-type theorems
• Riemann integration in Banach spaces
• Sur la convergence quasi-uniforme
• Equi-Riemann and equi-Riemann type integrable functions with values in a Banach space
• Locally bounded functions
• Riemann and Riemann-type integration in Banach spaces
• Uniform convergence of a sequence of functions at a point
• (Strong) weak exhaustiveness and (strong uniform) continuity
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