The composition of the distributions x- -ms ln x - and x+ r-p/m

• Main Authors: B. Fisher, A. Kananthai, G. Sritanatana, K. Nonlaopon
• Format: Journal
• Published: 2018
• Subjects: Mathematics
• Online Access: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=22944444656&origin=inward; http://cmuir.cmu.ac.th/jspui/handle/6653943832/62294
• Institution: Chiang Mai University

Let F be a distribution and f be a locally summable function. The distribution F(f) is defined as the neutrix limit of the sequence {Fn(f)}, where Fn(x) = F(X) δn{ δn(x) and {δn(x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function δ(x). The distribu...