شماره ركورد كنفرانس :
3360
عنوان مقاله :
CHARACTERIZATION OF THE HARDY PROPERTY OF MEANS and THE BEST HARDY CONSTANTS
Author/Authors :
ZSOLT PALES Institute of Mathematics - University of Debrecen Hungary , PAWE L PASTECZKA Institute of Mathematics - Pedagogical University of Cracow Poland
كليدواژه :
Hardy inequality , Hardy mean , Holder mean , Gini mean , Quasi-arithmetic mean
عنوان كنفرانس :
چهارمين سمينار آناليز تابعي و كاربردهاي آن
چكيده لاتين :
The aim is to characterize in broad classes of means the Hardy means, i.e., those means M: ∪1 n=1 Rn + ! R+ that satisfy the inequality 1Σ n=1 M(x1; : : : ; xn) C 1Σ n=1 xn for all positive sequences (xn) with some nite positive constant
C. One of the main results oers a characterization of Hardy means in the class of symmetric, increasing, Jensen concave and repetition invariant means and also a formula for the best constant C satisfying the above inequality
