This article is cited in 1 paper

Generalized functional calculus on vector lattices

B. B. Tasoev<sup>ab

a</sup> South Mathematical Institute of VSC RAS Vladikavkaz, Russia
^b North-Ossetia State University, Faculty of Mathematics, Vladikavkaz, Russia

Abstract: Generalized functional calculus on vector lattices is constructed. An interplay between Minkowski duality and generalized functional calculus is investigated and some convexity inequalities are proved.

Key words: vector lattices, generalized functional calculus, Minkowski duality, convexity inequalities.

UDC: 517.98

Received: 15.07.2013