Matches in SemOpenAlex for { <https://semopenalex.org/work/W2042906951> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W2042906951 endingPage "10" @default.
- W2042906951 startingPage "5" @default.
- W2042906951 abstract "The approximation evaluations by polynomial splines are well-known. They are obtained by the similarity principle; in the case of non-polynomial splines the implementation of this principle is difficult. Another method for obtaining of the evaluations was discussed earlier (see [1]) in the case of nonpolynomial splines of Lagrange type. The aim of this paper is to obtain the evaluations of approximation by non-polynomial splines of Hermite type. Considering a linearly independent system of column-vectors, . Let be square matrix. Supposing that and are columns with components from the linear space such that . Let be vector with components belonging to conjugate space . For an element we consider a linear combination of elements By definition, put . The discussions are based on the next assertion. The following relation holds: where the second factor on the right-hand side is the determinant of a block-matrix of order m + 2. Using this assertion, we get the representation of residual of approximation by minimal splines of Hermite type. Taking into account the representation, we get evaluations of the residual and calculate relevant constants. As a result the obtained evaluations are exact ones for components of generated vector-function ." @default.
- W2042906951 created "2016-06-24" @default.
- W2042906951 creator A5048924419 @default.
- W2042906951 creator A5054744381 @default.
- W2042906951 date "2013-01-01" @default.
- W2042906951 modified "2023-10-17" @default.
- W2042906951 title "Approximation by Splines of Hermite Type" @default.
- W2042906951 cites W1967521147 @default.
- W2042906951 doi "https://doi.org/10.4236/am.2013.411a3002" @default.
- W2042906951 hasPublicationYear "2013" @default.
- W2042906951 type Work @default.
- W2042906951 sameAs 2042906951 @default.
- W2042906951 citedByCount "0" @default.
- W2042906951 crossrefType "journal-article" @default.
- W2042906951 hasAuthorship W2042906951A5048924419 @default.
- W2042906951 hasAuthorship W2042906951A5054744381 @default.
- W2042906951 hasBestOaLocation W20429069511 @default.
- W2042906951 hasConcept C106487976 @default.
- W2042906951 hasConcept C11413529 @default.
- W2042906951 hasConcept C134306372 @default.
- W2042906951 hasConcept C155512373 @default.
- W2042906951 hasConcept C159985019 @default.
- W2042906951 hasConcept C17744445 @default.
- W2042906951 hasConcept C186429297 @default.
- W2042906951 hasConcept C18903297 @default.
- W2042906951 hasConcept C192562407 @default.
- W2042906951 hasConcept C199539241 @default.
- W2042906951 hasConcept C201362023 @default.
- W2042906951 hasConcept C2776359362 @default.
- W2042906951 hasConcept C2777299769 @default.
- W2042906951 hasConcept C28826006 @default.
- W2042906951 hasConcept C33923547 @default.
- W2042906951 hasConcept C86803240 @default.
- W2042906951 hasConcept C90119067 @default.
- W2042906951 hasConcept C94625758 @default.
- W2042906951 hasConceptScore W2042906951C106487976 @default.
- W2042906951 hasConceptScore W2042906951C11413529 @default.
- W2042906951 hasConceptScore W2042906951C134306372 @default.
- W2042906951 hasConceptScore W2042906951C155512373 @default.
- W2042906951 hasConceptScore W2042906951C159985019 @default.
- W2042906951 hasConceptScore W2042906951C17744445 @default.
- W2042906951 hasConceptScore W2042906951C186429297 @default.
- W2042906951 hasConceptScore W2042906951C18903297 @default.
- W2042906951 hasConceptScore W2042906951C192562407 @default.
- W2042906951 hasConceptScore W2042906951C199539241 @default.
- W2042906951 hasConceptScore W2042906951C201362023 @default.
- W2042906951 hasConceptScore W2042906951C2776359362 @default.
- W2042906951 hasConceptScore W2042906951C2777299769 @default.
- W2042906951 hasConceptScore W2042906951C28826006 @default.
- W2042906951 hasConceptScore W2042906951C33923547 @default.
- W2042906951 hasConceptScore W2042906951C86803240 @default.
- W2042906951 hasConceptScore W2042906951C90119067 @default.
- W2042906951 hasConceptScore W2042906951C94625758 @default.
- W2042906951 hasIssue "11" @default.
- W2042906951 hasLocation W20429069511 @default.
- W2042906951 hasOpenAccess W2042906951 @default.
- W2042906951 hasPrimaryLocation W20429069511 @default.
- W2042906951 hasRelatedWork W1985024418 @default.
- W2042906951 hasRelatedWork W1998554551 @default.
- W2042906951 hasRelatedWork W2020509498 @default.
- W2042906951 hasRelatedWork W2076018173 @default.
- W2042906951 hasRelatedWork W2076442606 @default.
- W2042906951 hasRelatedWork W2080019838 @default.
- W2042906951 hasRelatedWork W2340060540 @default.
- W2042906951 hasRelatedWork W3120553144 @default.
- W2042906951 hasRelatedWork W4293101608 @default.
- W2042906951 hasRelatedWork W832706644 @default.
- W2042906951 hasVolume "04" @default.
- W2042906951 isParatext "false" @default.
- W2042906951 isRetracted "false" @default.
- W2042906951 magId "2042906951" @default.
- W2042906951 workType "article" @default.