Generalized functional calculus on vector lattices

Tasoev B. B.
Vladikavkaz Mathematical Journal 2013. Vol. 15. Issue 3.

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.

Keywords: vector lattices, generalized functional calculus, Minkowski duality, convexity inequalities

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