Abstract
In this paper we define a new type of modular convergence by using the notion of the relatively uniform convergence. We prove a Korovkin-type approximation theorem via this type of convergence in modular spaces. Then, we construct an example such that our new approximation result works but its classical cases do not work.
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Yılmaz, B., Demirci, K. & Orhan, S. Relative modular convergence of positive linear operators. Positivity 20, 565–577 (2016). https://doi.org/10.1007/s11117-015-0372-2
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DOI: https://doi.org/10.1007/s11117-015-0372-2