This survey deals with inequalities satisfied by γ-quasiconvex functions which are one of the many variants of convex functions. The γ-quasiconvex functions have already been dealt with by S. Abramovich, L.-E. Persson and N. Samko. Among the applications we demonstrate here are Jensen, Hardy, Hölder, Minkowski, Jensen-Steffensen and Slater-Pečarić inequalities. These inequalities can be seen as extensions and refinements of inequalities satisfied by convex functions.
|Title of host publication||Springer Optimization and Its Applications|
|Publisher||Springer International Publishing|
|Number of pages||20|
|State||Published - 2018|
|Name||Springer Optimization and Its Applications|
Bibliographical notePublisher Copyright:
© Springer International Publishing AG, part of Springer Nature 2018.
ASJC Scopus subject areas
- Control and Optimization