Generalizations of some classical inequalities and their applications. (English). In: Krbec, Miroslav, Kufner, Alois, Opic, Bohumír and Rákosník, Jiří (eds.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the Spring School held in Roudnice nad Labem, 1990. Vol. 4. B. G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 127-148