Hölder Functionals and Quotients

2012/09/03 by Thürey, Volker W.
#26D15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1209.0392

Abstract

We describe an inequality of finite or infinite sequences of real numbers and their quotients. More precisely, we compare the quotient of Hölder functionals of two sequences of numbers with the sum of their quotients. In the last section we investigate the `wideness' of the inequality, i.e. we show that both the inequality can converge into an equality, and the difference between the two sides of the inequality can be arbitrary large.

Related

• New Refinements for integral and sum forms of Hölder inequality
• Hölder's inequality: some recent and unexpected applications
• A New Improvement of Hölder inequality via Isotonic Linear Functionals
• Sufficient and necessary conditions for generalized Hölder's inequality in p-summable sequence spaces
• Hölder inequality for symmetric operator spaces and trace property of K-cycles