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.
|Number of pages||9|
|Journal||Journal of Inequalities and Applications|
|State||Published - 1 Dec 2016|
Bibliographical notePublisher Copyright:
© 2016, Abramovich and Persson.
- Jensen’s inequality
- Taylor expansion
- convex function
- superquadratic functions
- γ-superconvex functions
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics