TY  - JOUR
ID  - Pečarić2015
LB  - Pečarić2015
AU  - Pečarić, Josip
AU  - Praljak, Marjan
AU  - Witkowski, Alfred
TI  - Generalized Levinson's inequality and exponential convexity
ST  - Generalized Levinson's inequality and exponential convexity
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2015
VL  - 35
IS  - 3
SP  - 397
EP  - 410
DO  - http://dx.doi.org/10.7494/OpMath.2015.35.3.397
UR  - http://dx.doi.org/10.7494/OpMath.2015.35.3.397
AB  - We give a probabilistic version of Levinson's inequality under Mercer's assumption of equal variances for the family of 3-convex functions at a point. We also show that this is the largest family of continuous functions for which the inequality holds. New families of exponentially convex functions and related results are derived from the obtained inequality.
KW  - Levinson's inequality
KW  - exponential convexity
SN  - 1232-9274
ER  -