{"created":"2023-05-15T10:27:08.606029+00:00","id":22470,"links":{},"metadata":{"_buckets":{"deposit":"625cc2e2-6c9e-4c69-b6e6-3cd8697ce6fd"},"_deposit":{"created_by":1,"id":"22470","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"22470"},"status":"published"},"_oai":{"id":"oai:u-fukui.repo.nii.ac.jp:00022470","sets":["2403:2404"]},"author_link":["64977","64978"],"item_10001_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2009-06","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"253","bibliographicPageStart":"247","bibliographicVolumeNumber":"228","bibliographic_titles":[{"bibliographic_title":"Journal of Computational and Applied Mathematics"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Fractional derivative D^qf(x) (0 < q < 1, 0 <_ _ - x <_ _ - 1) of a function f(x) is defined in terms of an indefinite integral involving f(x). For functions of algebraic singularity f(x) = x^αg(x) (α > -1) with g(x) being a well-behaved function, we propose a quadrature method for uniformly approximating D^q{x^αg(x)g}. Present method consists of interpolating g(x) at abscissae in [0,1] by a finite sum of Chebyshev polynomials. It is shown that the use of the lower endpoint x = 0 as an abscissa is essential for the uniform approximation, namely to bound the approximation errors independently of x 2 [0,1]. Numerical examples demonstrate the performance of the present method.","subitem_description_type":"Abstract"}]},"item_10001_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Elsevier Science Publishers B. V."}]},"item_10001_relation_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"TD00006866","subitem_relation_type_select":"NCID"}}]},"item_10001_relation_14":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1016/j.cam.2008.09.018","subitem_relation_type_select":"DOI"}}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"3770427","subitem_source_identifier_type":"ISSN"}]},"item_10001_version_type_20":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_b1a7d7d4d402bcce","subitem_version_type":"AO"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"HASEGAWA, Takemitsu"}],"nameIdentifiers":[{"nameIdentifier":"64977","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"SUGIURA, Hiroshi"}],"nameIdentifiers":[{"nameIdentifier":"64978","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-08-04"}],"displaytype":"detail","filename":"hasegawa09-1.pdf","filesize":[{"value":"136.2 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"hasegawa09-1.pdf","url":"https://u-fukui.repo.nii.ac.jp/record/22470/files/hasegawa09-1.pdf"},"version_id":"174c4fb3-020e-409a-b32e-c703ea732e3f"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"fractional derivative","subitem_subject_scheme":"Other"},{"subitem_subject":"algebraic singularity","subitem_subject_scheme":"Other"},{"subitem_subject":"uniform approximation","subitem_subject_scheme":"Other"},{"subitem_subject":"quadrature rule","subitem_subject_scheme":"Other"},{"subitem_subject":"Chebyshev interpolation","subitem_subject_scheme":"Other"},{"subitem_subject":"automatic quadrature","subitem_subject_scheme":"Other"},{"subitem_subject":"error analysis","subitem_subject_scheme":"Other"},{"subitem_subject":"five-term recurrence relation","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"other","resourceuri":"http://purl.org/coar/resource_type/c_1843"}]},"item_title":"Uniform approximation to fractional derivatives of functions of algebraic singularity","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Uniform approximation to fractional derivatives of functions of algebraic singularity"}]},"item_type_id":"10001","owner":"1","path":["2404"],"pubdate":{"attribute_name":"公開日","attribute_value":"2009-05-07"},"publish_date":"2009-05-07","publish_status":"0","recid":"22470","relation_version_is_last":true,"title":["Uniform approximation to fractional derivatives of functions of algebraic singularity"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-05-15T13:00:35.260691+00:00"}