New reproducing kernel functions in the reproducing kernel Sobolev spaces

Ali Akgül; Esra Karatas Akgül; Sahin Korhan; Ali Akgül; Esra Karatas Akgül; Sahin Korhan

doi:10.3934/math.2020032

AIMS Mathematics

2020, Volume 5, Issue 1: 482-496. doi: 10.3934/math.2020032

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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

Received: 04 October 2019 Accepted: 29 November 2019 Published: 06 December 2019
MSC : 46E35, 46E22

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.
- 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[J]. AIMS Mathematics, 2020, 5(1): 482-496. doi: 10.3934/math.2020032

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Abstract

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.

References

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