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Öğe New reproducing kernel functions in the reproducing kernel Sobolev spaces(Amer Inst Mathematical Sciences-Aims, 2020) Akgul, Ali; Akgul, Esra Karatas; Korhan, SahinIn this paper we construct some new reproducing kernel functions in the reproducing kernel Sobolev space. These functions are new in the literature. We can solve many problems by these functions in the reproducing kernel Sobolev spaces.Öğe Reproducing kernel functions for the generalized Kuramoto-Sivashinsky equation(E D P Sciences, 2018) Akgul, Ali; Akgul, Esra Karatas; Korhan, Sahin; Inc, MustafaReproducing kernel functions are obtained for the solution of generalized Kuramoto Sivashinsky (GKS) equation in this paper. These reproducing kernel functions are valuable in the reproducing kernel Hilbert space method. They will be useful for interested researchers.