top
A unified approach to prove isoperimetric inequalities for moments and basic inequalities of interpolation spaces L(p,q) is developed. Instead symmetrization methods we use a monotonicity property of special Stiltjes' means.
Avkhadiev, F. G., and Kayumov, I. R.. "Comparison theorems of isoperimetric type for moments of compact sets.." Collectanea Mathematica 55.1 (2004): 1-9. <http://eudml.org/doc/44324>.
@article{Avkhadiev2004, abstract = {A unified approach to prove isoperimetric inequalities for moments and basic inequalities of interpolation spaces L(p,q) is developed. Instead symmetrization methods we use a monotonicity property of special Stiltjes' means.}, author = {Avkhadiev, F. G., Kayumov, I. R.}, journal = {Collectanea Mathematica}, keywords = {Desigualdades; Teorema de comparación; moments; isoperimetric inequality; Stieltjes integral; multinomial distribution}, language = {eng}, number = {1}, pages = {1-9}, title = {Comparison theorems of isoperimetric type for moments of compact sets.}, url = {http://eudml.org/doc/44324}, volume = {55}, year = {2004}, }
TY - JOUR AU - Avkhadiev, F. G. AU - Kayumov, I. R. TI - Comparison theorems of isoperimetric type for moments of compact sets. JO - Collectanea Mathematica PY - 2004 VL - 55 IS - 1 SP - 1 EP - 9 AB - A unified approach to prove isoperimetric inequalities for moments and basic inequalities of interpolation spaces L(p,q) is developed. Instead symmetrization methods we use a monotonicity property of special Stiltjes' means. LA - eng KW - Desigualdades; Teorema de comparación; moments; isoperimetric inequality; Stieltjes integral; multinomial distribution UR - http://eudml.org/doc/44324 ER -