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Content available remote Korovkin-type approximation by operators in Riesz spaces via power series method
EN
In this paper we prove an Ozguç, Yurdakadim and Taş version of the Korovkin-type approximation by operators in the sense of the power series method. That is, we try to extend the Korovkin approximation theorems, obtained by Ozguç and Taş in 2016, and Taş and Yurdakadim in 2017, for concrete classes of Banach spaces to the class of Riesz spaces. Some applications are presented.
2
Content available On the almost uniform convergence
EN
Uniform convergence for continuous real functions sequences preserves continuity of the limit of such sequences. There are weaker types of convergence which have similar properties. We consider such types of convergence for functions from one topological space into another one.
3
Content available Riemann integrability and quasi-uniform convergence
EN
We consider quasi-uniform convergence of sequences of functions in a context of Riemann integrability of its limit. Some generalizations are discussed as well.
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