Year: 2025
Type: article
Abstract: This paper introduces the notion of Riemann integration for quotientspace valued functions on time scales. Quotient Riemann ∆-integral, quotient Riemann ∇-integral and quotient Riemann ♢α-integral are defined.Results establishing that ∆- and ∇-integrals are special cases of quotientRiemann ♢α-integral are observed; and a few standard results formulated. The relation between Banach valued Riemann integral and quotient valued Riemann integral is established. Notion of continuity of functions usingquotient norm is defined and it’s integrability proved.
Source: Proyecciones (Antofagasta)
Authors: Hemen Bharali, Vikuozonuo Sekhose
Institution: Assam Don Bosco University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409469506