A new type of Taylor series expansion

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.authorMasjed-Jamei, Mohammad
dc.contributor.authorMoalemi, Zahra
dc.contributor.authorArea Carracedo, Iván Carlos
dc.contributor.authorNieto Roig, Juan José
dc.date.accessioned2019-10-26T10:49:10Z
dc.date.available2019-10-26T10:49:10Z
dc.date.issued2018-05-15
dc.description.abstractWe present a variant of the classical integration by parts to introduce a new type of Taylor series expansion and to present some closed forms for integrals involving Jacobi and Laguerre polynomials, which cannot be directly obtained by usual symbolic computation programs, i.e., only some very specific values can be computed by the mentioned programs. An error analysis is given in the sequel for the introduced expansion.gl
dc.description.peerreviewedSIgl
dc.description.sponsorshipThe work of the first author has been supported by the Alexander von Humboldt Foundation under the grant number: Ref 3.4–IRN–1128637–GF-E. The third and fourth authors thank for the financial support from the Agencia Estatal de Innovación (AEI) of Spain under grant MTM2016–75140–P, co-financed by the European Community fund FEDER and Xunta de Galicia, grants GRC 2015–004 and R 2016/022gl
dc.identifier.citationMasjed-Jamei, M., Moalemi, Z., Area, I., & Nieto, J. (2018). A new type of Taylor series expansion. Journal Of Inequalities And Applications, 2018(1). doi: 10.1186/s13660-018-1709-8gl
dc.identifier.doi10.1186/s13660-018-1709-8
dc.identifier.essn1029-242X
dc.identifier.urihttp://hdl.handle.net/10347/19953
dc.language.isoenggl
dc.publisherSpringerOpengl
dc.relation.publisherversionhttps://doi.org/10.1186/s13660-018-1709-8gl
dc.rights© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were madegl
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectGeneralized Taylor expansiongl
dc.subjectIntegration by partsgl
dc.subjectIntegral remaindergl
dc.subjectError boundgl
dc.subjectJacobi and Laguerre polynomialsgl
dc.titleA new type of Taylor series expansiongl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication85e127ae-7ec7-48e4-bb4a-8eb83882ea26
relation.isAuthorOfPublication.latestForDiscovery85e127ae-7ec7-48e4-bb4a-8eb83882ea26

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