Let (Formula presented.) be a probability measure space. We consider the so-called (Formula presented.) for some classes of functions φ. Several new estimates and equalities are derived and compared with other results of this type. Especially the case when φ has a Taylor expansion is treated and the corresponding discrete results are pointed out.
Bibliographical notePublisher Copyright:
© 2016, Abramovich and Persson.
- convex function
- Jensen’s inequality
- superquadratic functions
- Taylor expansion
- γ-superconvex functions
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics