Divided and a-divided differences on time scales

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2023

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De Gruyter

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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Abstract

In this chapter, the divided differences and cr-divided differences on time scales are introduced. The Newton and cr-Newton interpolation polynomial are constructed. In addition, the Hermite interpolation polynomial on time scales is constructed by using the divided differences table. Examples are presented to illustrate the theoretical results. © 2023 Walter de Gruyter GmbH, Berlin/Bostonl. All rights reserved.

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Dynamic Calculus and Equations on Time Scales

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Start Page

305

End Page

323

URI

https://doi.org/10.1515/9783111182971-010
 https://hdl.handle.net/20.500.14411/4106

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Scopus