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Variants of Khintchine's inequality with coefficients depending on the vector dimension are proved. Equality is attained for different types of extremal vectors. The Schur convexity of certain attached functions and direct estimates in terms of the Haagerup type of functions are also used.
Serb, Ioan. "New variants of Khintchine's inequality.." Collectanea Mathematica 52.2 (2001): 193-203. <http://eudml.org/doc/42738>.
@article{Serb2001, abstract = {Variants of Khintchine's inequality with coefficients depending on the vector dimension are proved. Equality is attained for different types of extremal vectors. The Schur convexity of certain attached functions and direct estimates in terms of the Haagerup type of functions are also used.}, author = {Serb, Ioan}, journal = {Collectanea Mathematica}, keywords = {Desigualdad de Khintichine; Desigualdades; Convexidad; Rademacher functions; Khinchin's inequality; Schur convexity; Haagerup type of functions}, language = {eng}, number = {2}, pages = {193-203}, title = {New variants of Khintchine's inequality.}, url = {http://eudml.org/doc/42738}, volume = {52}, year = {2001}, }
TY - JOUR AU - Serb, Ioan TI - New variants of Khintchine's inequality. JO - Collectanea Mathematica PY - 2001 VL - 52 IS - 2 SP - 193 EP - 203 AB - Variants of Khintchine's inequality with coefficients depending on the vector dimension are proved. Equality is attained for different types of extremal vectors. The Schur convexity of certain attached functions and direct estimates in terms of the Haagerup type of functions are also used. LA - eng KW - Desigualdad de Khintichine; Desigualdades; Convexidad; Rademacher functions; Khinchin's inequality; Schur convexity; Haagerup type of functions UR - http://eudml.org/doc/42738 ER -