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Korovkin type approximation theorem via K a −convergence on weighted spaces
Author(s) -
Yıldız Sevda,
Dirik Fadime,
Demirci Kamil
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5391
Subject(s) - mathematics , convergence (economics) , type (biology) , rate of convergence , modes of convergence (annotated index) , modulus of continuity , dominated convergence theorem , weak convergence , compact convergence , convergence tests , mathematical analysis , pure mathematics , discrete mathematics , topological space , ecology , topological vector space , channel (broadcasting) , engineering , computer security , computer science , isolated point , electrical engineering , economics , asset (computer security) , biology , economic growth
In this paper, we study the Korovkin type approximation theorem for K a ‐ convergence, which is an interesting convergence method on weighted spaces. We also study the rate of K a −convergence by using the weighted modulus of continuity and afterwards, we present a nontrivial application.