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New reproducing kernel functions in the reproducing kernel Sobolev spaces

  • 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.

    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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  • 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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    [10] O. A. Arqub, Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions, Comput. Math. Appl., 73 (2017), 1243-1261. doi: 10.1016/j.camwa.2016.11.032
    [11] S. Momani, O. A. Arqub, T. Hayat, et al. A computational method for solving periodic boundary value problems for integro-differential equations of Fredholm-Voltera type, Appl. Math. Comput., 240 (2014), 229-239.
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    [13] A. Akgül, New reproducing kernel functions, Math. Probl. Eng., 2015 (2015), 1-10.
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  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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