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Inequalities related to stationary flows of granulated media

✍ Scribed by Grzegorz Łukaszewicz; A. Piskorek

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
549 KB
Volume
11
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by A. Piskorek

We investigate some variational inequalities associated with the equations of the stationary motion of granulated media with a constant density. These inequalities replace the usual equations of motion in the case when some additional constraints are imposed on the Row.

We prove the existence of solutions of the inequalities, study their regularity, uniqueness, dependence on data and relations to solutions of the equations of motion.

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In this paper we prove the Hermite-Hadamard-Fejér inequalities for an h-convex function and we point out the results for some special classes of functions. Also, some generalization of the Hermite-Hadamard inequalities and some properties of functions H and F which are naturally joined to the h-conv