Matches in SemOpenAlex for { <https://semopenalex.org/work/W3020753102> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W3020753102 abstract "The smoothness of functions is quite essential in applications. This smoothness can be used in functional calculations, in the construction of the finite element method, in the approximation of those or other numerical data, etc. The interest in smooth approximate spaces is supported by the desire to have a coincidence of smoothness of exact and approximate solutions. A lot of papers have been devoted to this problem. The continuity of the function at a point means equality of the limits on the right and left; the generalization of this situation is the equality of values of two linear functionals (at the prescribed function) with supports located on opposite sides of the mentioned point. Such generalization allows us to introduce the concept of generalized smoothness, which gives the ability to cover various cases of singular behavior functions at some point. The generalized smoothness is called pseudo-smoothness, although, of course, we can talk about the different types of pseudo-smoothness depending on the selected functionals mentioned above. Splines are often used for processing numerical information flows; a lot of scientific papers are devoted to these investigations. Sometimes spline treatment implies to the filtration of the mentioned flows or to their wavelet decomposition. A discrete flow often appears as a result of analog signal sampling, representing the values of a function, and in this case, the splines of the Lagrange type are used. In some cases, there are two interconnected analog signals, one of which represents the values of some function, and the second one represents the values of its derivative. In this case, it is convenient to use the splines of the Hermite type of the first height for processing. In all cases, it is highly desirable that the generalized smoothness of the resulting spline coincides with the generalized smoothness of the original signal. The concepts, which are introduced in this paper, and the theorems, which are proved here, allow us to achieve this result. The paper discusses the existence and uniqueness of spline spaces of the Hermite type of the first height (under condition of fixing the spline grid and the type of generalized smoothness). The purpose of this paper is to discuss generalized smoothness of the Hermite type spline space (not necessarily polynomial). In this paper we use the necessary and sufficient criterion of the generalized smoothness obtained earlier." @default.
- W3020753102 created "2020-05-01" @default.
- W3020753102 creator A5048924419 @default.
- W3020753102 creator A5052381939 @default.
- W3020753102 creator A5076497884 @default.
- W3020753102 date "2018-01-01" @default.
- W3020753102 modified "2023-10-17" @default.
- W3020753102 title "Generalized Smoothness of the Hermite Type Splines" @default.
- W3020753102 cites W1541162015 @default.
- W3020753102 cites W1573186872 @default.
- W3020753102 cites W1588590519 @default.
- W3020753102 cites W2016859302 @default.
- W3020753102 cites W2037077804 @default.
- W3020753102 cites W2109911863 @default.
- W3020753102 cites W2163914949 @default.
- W3020753102 hasPublicationYear "2018" @default.
- W3020753102 type Work @default.
- W3020753102 sameAs 3020753102 @default.
- W3020753102 citedByCount "1" @default.
- W3020753102 countsByYear W30207531022020 @default.
- W3020753102 crossrefType "journal-article" @default.
- W3020753102 hasAuthorship W3020753102A5048924419 @default.
- W3020753102 hasAuthorship W3020753102A5052381939 @default.
- W3020753102 hasAuthorship W3020753102A5076497884 @default.
- W3020753102 hasConcept C102634674 @default.
- W3020753102 hasConcept C10390562 @default.
- W3020753102 hasConcept C127413603 @default.
- W3020753102 hasConcept C134306372 @default.
- W3020753102 hasConcept C14036430 @default.
- W3020753102 hasConcept C177148314 @default.
- W3020753102 hasConcept C201362023 @default.
- W3020753102 hasConcept C202444582 @default.
- W3020753102 hasConcept C28826006 @default.
- W3020753102 hasConcept C33923547 @default.
- W3020753102 hasConcept C66938386 @default.
- W3020753102 hasConcept C78458016 @default.
- W3020753102 hasConcept C86803240 @default.
- W3020753102 hasConceptScore W3020753102C102634674 @default.
- W3020753102 hasConceptScore W3020753102C10390562 @default.
- W3020753102 hasConceptScore W3020753102C127413603 @default.
- W3020753102 hasConceptScore W3020753102C134306372 @default.
- W3020753102 hasConceptScore W3020753102C14036430 @default.
- W3020753102 hasConceptScore W3020753102C177148314 @default.
- W3020753102 hasConceptScore W3020753102C201362023 @default.
- W3020753102 hasConceptScore W3020753102C202444582 @default.
- W3020753102 hasConceptScore W3020753102C28826006 @default.
- W3020753102 hasConceptScore W3020753102C33923547 @default.
- W3020753102 hasConceptScore W3020753102C66938386 @default.
- W3020753102 hasConceptScore W3020753102C78458016 @default.
- W3020753102 hasConceptScore W3020753102C86803240 @default.
- W3020753102 hasLocation W30207531021 @default.
- W3020753102 hasOpenAccess W3020753102 @default.
- W3020753102 hasPrimaryLocation W30207531021 @default.
- W3020753102 hasRelatedWork W157077504 @default.
- W3020753102 hasRelatedWork W2042906951 @default.
- W3020753102 hasRelatedWork W2051820397 @default.
- W3020753102 hasRelatedWork W2094371284 @default.
- W3020753102 hasRelatedWork W210648119 @default.
- W3020753102 hasRelatedWork W2183592581 @default.
- W3020753102 hasRelatedWork W2209829135 @default.
- W3020753102 hasRelatedWork W2273068012 @default.
- W3020753102 hasRelatedWork W2500106009 @default.
- W3020753102 hasRelatedWork W2800602364 @default.
- W3020753102 hasRelatedWork W2801210321 @default.
- W3020753102 hasRelatedWork W2953053755 @default.
- W3020753102 hasRelatedWork W2998734263 @default.
- W3020753102 hasRelatedWork W3012988637 @default.
- W3020753102 hasRelatedWork W3018499750 @default.
- W3020753102 hasRelatedWork W3099621974 @default.
- W3020753102 hasRelatedWork W3159000928 @default.
- W3020753102 hasRelatedWork W3212068440 @default.
- W3020753102 hasRelatedWork W127904215 @default.
- W3020753102 hasRelatedWork W2443220840 @default.
- W3020753102 hasVolume "17" @default.
- W3020753102 isParatext "false" @default.
- W3020753102 isRetracted "false" @default.
- W3020753102 magId "3020753102" @default.
- W3020753102 workType "article" @default.