Schur–Ostrowski Theorems for Functionals on $L_1 (0,1)$

DOI10.1137/0518044zbMath0697.26010OpenAlexW2068601491MaRDI QIDQ3473313

Jayaram Sethuraman, Frank Proschan, Wai Chan

Publication date: 1987

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0518044

zbMATH Keywords

Gâteaux differentialsSchur-convex functionalsSchur-Ostrowski-type conditionunrestricted majorization

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Fréchet and Gateaux differentiability in optimization (49J50) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (5)

Stochastic comparisons of order statistics,with applications in relibility ⋮ Schur-Ostrowski type theorems revisited ⋮ Smooth inequality measurement: approximation theorems ⋮ An extension of Levin-Stečkin's theorem to uniformly convex and superquadratic functions ⋮ On separating the submajorization order into majorization and pointwise inequality

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