Spherically symmetric functions with a convex second derivative and applications to extremal probabilistic problems

Iosif Pinelis

spherically symmetric (spherically invariant rotation-invariant elliptically contoured) functions convexity convex second derivative extremal probabilistic problems probabilistic inequalities Khinchine inequality generalized moments generalized moment comparison inequalities random multilinear (multi-affine) forms Rademacher chaos Hilbert space sums of independent random variables differential inequalities

26B25 60E15 26D10 34A40 52A40 52A41