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One-parameter monotone functionals connected with Stieltjes integrals that are monotone as a function on the parameter. We prove generalizations of some results from the papers:1)Heinig
Isoperimetric inequalities for conformal moments of plane domains to derive isoperimetric inequalities for geometric functionals which are closely related to the torsional
Isoperimetric inequality for torsional rigidity in multidimensional domains. The extremal domains are ellipsoids of a special kind. Thus, we obtain a generalization of the isoperimetric
Bilateral isoperimetric inequalities for boundary moments of plane domainsBilateral isoperimetric inequalities for boundary moments of plane domains
Bilateral isoperimetric inequalities for boundary moments of plane domainsBilateral isoperimetric inequalities for boundary moments of plane domains
Isoperimetric inequalities for conformal moments of plane domains to derive isoperimetric inequalities for geometric functionals which are closely related to the torsional
Isoperimetric inequality for torsional rigidity in multidimensional domains. The extremal domains are ellipsoids of a special kind. Thus, we obtain a generalization of the isoperimetric
Limitwise Monotonic Spectra and Their GeneralizationsThe current work studies the limitwise monotonic spectra introduced by Downey, Kach and Turetsky [6
A note about torsional rigidity and Euclidean moments of plane domainsIsoperimetric inequality
Sharp constants in one-dimensional Poincaré-type inequalitiesisoperimetric problem
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