On Weighted Simpson’s 38 Rule
dc.contributor.author | Rostamian Delavar, Mohsen | |
dc.contributor.author | Kashuri, Artion | |
dc.contributor.author | De la Sen Parte, Manuel ![]() | |
dc.date.accessioned | 2021-10-27T11:14:42Z | |
dc.date.available | 2021-10-27T11:14:42Z | |
dc.date.issued | 2021-10-14 | |
dc.identifier.citation | Symmetry 13(10) : (2021) // Article ID 1933 | es_ES |
dc.identifier.issn | 2073-8994 | |
dc.identifier.uri | http://hdl.handle.net/10810/53654 | |
dc.description.abstract | Numerical approximations of definite integrals and related error estimations can be made using Simpson’s rules (inequalities). There are two well-known rules: Simpson’s 13 rule or Simpson’s quadrature formula and Simpson’s 38 rule or Simpson’s second formula. The aim of the present paper is to extend several inequalities that hold for Simpson’s 13 rule to Simpson’s 38 rule. More precisely, we prove a weighted version of Simpson’s second type inequality and some Simpson’s second type inequalities for Lipschitzian, bounded variations, convex functions and the functions that belong to Lq. Some applications of the second type Simpson’s inequalities relate to approximations of special means and Simpson’s 38 formula, and moments of random variables are made. | es_ES |
dc.description.sponsorship | This research was funded by the Basque Government Grant IT1207-19. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | |
dc.subject | Simpson’s second inequality | es_ES |
dc.subject | bounded variation function | es_ES |
dc.subject | Lipschitzian function | es_ES |
dc.subject | special means | es_ES |
dc.subject | Simpson’s 38 | es_ES |
dc.subject | random variables | es_ES |
dc.title | On Weighted Simpson’s 38 Rule | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2021-10-22T13:56:10Z | |
dc.rights.holder | 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). | es_ES |
dc.relation.publisherversion | https://www.mdpi.com/2073-8994/13/10/1933/htm | es_ES |
dc.identifier.doi | 10.3390/sym13101933 | |
dc.departamentoes | Electricidad y electrónica | |
dc.departamentoeu | Elektrizitatea eta elektronika |
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Except where otherwise noted, this item's license is described as 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).