A converse of the Hölder inequality theorem
Work
Year: 2009
Type: article
Abstract: Let (Ω,Σ,μ) be a measure space such that 0 0). We prove that if Ω xydμ ψ 1 Ω(x) ϕ 1 ◦| x|dμ ψ2 Ω(y) ϕ 2 ◦| y|dμ for all nonnegative μ-integrable simple functions x,y :Ω → R (where Ω(x) stands for the ... more
Author Janusz Matkowski
Cites: 6
Cited by: 3
Related to: 10
FWCI:
Citation percentile (by year/subfield): 44.34
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Sustainable Development Goal Reduced inequalities
Open Access status: bronze