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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 158134, 10 pages
http://dx.doi.org/10.1155/2015/158134
Research Article

New Reproducing Kernel Functions

Department of Mathematics, Faculty of Education, Dicle University, 21280 Diyarbakır, Turkey

Received 18 November 2014; Revised 10 January 2015; Accepted 21 January 2015

Academic Editor: Masoud Hajarian

Copyright © 2015 Ali Akgül. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Some new reproducing kernel functions on time scales are presented. Reproducing kernel functions have not been found on time scales till now. These functions are very important on time scales and they will be very useful for researchers. We need these functions to solve dynamic equations on time scales with the reproducing kernel method.