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New reproducing kernel functions in the reproducing kernel Sobolev spaces

1 Siirt University, Art and Science Faculty, Department of Mathematics, TR-56100 Siirt, Turkey
2 Siirt University, Faculty of Education, Department of Mathematics, TR-56100 Siirt, Turkey

Special Issues: Recent Advances in Fractional Calculus with Real World Applications

In 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.
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Keywords reproducing kernel functions; reproducing kernel Sobolev spaces

Citation: Ali Akgül, Esra Karatas Akgül, Sahin Korhan. New reproducing kernel functions in the reproducing kernel Sobolev spaces. AIMS Mathematics, 2020, 5(1): 482-496. doi: 10.3934/math.2020032

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  • 2. F. Z. Geng, Piecewise reproducing kernel-based symmetric collocation approach for linear stationary singularly perturbed problems, AIMS Mathematics, 2020, 5, 6, 6020, 10.3934/math.2020385

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