Compositional Yang-Hilbert-type integral inequalities and operators. (English) Zbl 1435.26033
Pardalos, Panos M. (ed.) et al., Contributions in mathematics and engineering. In honor of Constantin Carathéodory. With a foreword by R. Tyrrell Rockafellar. Cham: Springer. 675-749 (2016).
In this survey article, the author uses estimation of the weight functions to build two kinds of compositional Yang-Hilbert-type integral inequalities with the best possible constant factors. The equivalent forms and the reverses are also considered. In addition, he presents some equivalent forms and the reverses. Moreover, he introduces four kinds of compositional Yang-Hilbert-type integral operators and gives the related composition formulas.
For the entire collection see [Zbl 1355.00026].
For the entire collection see [Zbl 1355.00026].
Reviewer: Mohammad Sal Moslehian (Mashhad)
MSC:
| 26D15 | Inequalities for sums, series and integrals |
