Continuing these results, we study closed and compact subsets of the space of quasicontinuous functions and minimal USCO maps equipped with the topology of pointwise convergence. We also study conditions under which the closure of the graph of a set-valued mapping which is the pointwise limit of a net of set-valued mappings, is a minimal USCO map.
Suffcient conditions, necessary conditions for faster convergent infinite series, faster -convergent infinite series are studied. The faster convergence of infinite series of Kummer's type is proved.
In this paper, we give new conditions under which the Cîrtoaje's conjecture is also valid. We also show that a certain generalization of the Cîrtoaje's inequality fulfils an interesting property.MSC: Primary 26D10; secondary 26D15
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