One-parameter monotone functionals connected with Stieltjes integrals

DOI10.3103/S1066369X19040017zbMath1480.26003OpenAlexW2956049334MaRDI QIDQ2287051

Farit G. Avkhadiev

Publication date: 23 January 2020

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x19040017

zbMATH Keywords

isoperimetric inequalityStieltjes integralintegral inequalitymonotone functionnorm in Lorentz space

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Inequalities for sums, series and integrals (26D15)

Cites Work

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• Boundedness of quasilinear integral operators on the cone of monotone functions
• Comparison theorems of isoperimetric type for moments of compact sets
• New isoperimetric inequalities for moments of domains and torsional rigidity
• Refined Inequalities for Euclidean Moments of a Domain with Respect to Its Boundary
• Sharp constants related to the triangle inequality in Lorentz spaces
• Isoperimetric Monotonicity: Some Properties and Conjectures (Connections between Isoperimetric Inequalities)
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Inequalities: theory of majorization and its applications

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