On a problem of smoothing histopolation under additional restrictions

Svetlana Asmuss; Juris Breidaks; Natalja Budkina

On a problem of smoothing histopolation under additional restrictions

Svetlana Asmuss, Juris Breidaks, Natalja Budkina

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

The problem of approximation of a density histogram is considered as the problem of smoothing histopolation with weights under some additional restrictions. The generalization of this problem for Hilbert spaces allows us to investigate this problem, prove the existence of its solutions and suggest the method for their construction. The other possibilities for using the obtained results in the statistical estimation problems are discussed.

Original language	English
Title of host publication	APLIMAT 2015 - 14th Conference on Applied Mathematics, Proceedings
Editors	Dagmar Szarkova, Ludovit Balko, Daniela Richtarikova
Place of Publication	Bratislava
Publisher	Slovak University of Technology in Bratislava
Pages	20-30
Number of pages	11
ISBN (Electronic)	9781-51080123-3
Publication status	Published - 2015
Externally published	Yes
Event	14th Conference on Applied Mathematics (APLIMAT) - Bratislava, Slovakia Duration: 3 Feb 2015 → 5 Feb 2015 Conference number: 14 https://www.proceedings.com/25917.html https://www.scimagojr.com/journalsearch.php?q=21100388654&tip=sid&clean=0

Conference

Conference	14th Conference on Applied Mathematics (APLIMAT)
Abbreviated title	APLIMAT 2015
Country/Territory	Slovakia
City	Bratislava
Period	3/02/15 → 5/02/15
Internet address	https://www.proceedings.com/25917.html https://www.scimagojr.com/journalsearch.php?q=21100388654&tip=sid&clean=0

Keywords*

Density function
Histosplines
Interpolating splines
Mixed splines
Smoothing splines

Field of Science*

1.1 Mathematics

Publication Type*

3.1. Articles or chapters in proceedings/scientific books indexed in Web of Science and/or Scopus database

Cite this

@inproceedings{219b455461ac43509ec1ddac36b8028b,

title = "On a problem of smoothing histopolation under additional restrictions",

abstract = "The problem of approximation of a density histogram is considered as the problem of smoothing histopolation with weights under some additional restrictions. The generalization of this problem for Hilbert spaces allows us to investigate this problem, prove the existence of its solutions and suggest the method for their construction. The other possibilities for using the obtained results in the statistical estimation problems are discussed.",

keywords = "Density function, Histosplines, Interpolating splines, Mixed splines, Smoothing splines",

author = "Svetlana Asmuss and Juris Breidaks and Natalja Budkina",

year = "2015",

language = "English",

pages = "20--30",

editor = "Dagmar Szarkova and Ludovit Balko and Daniela Richtarikova",

booktitle = "APLIMAT 2015 - 14th Conference on Applied Mathematics, Proceedings",

publisher = "Slovak University of Technology in Bratislava",

address = "Slovakia",

note = "14th Conference on Applied Mathematics (APLIMAT), APLIMAT 2015 ; Conference date: 03-02-2015 Through 05-02-2015",

url = "https://www.proceedings.com/25917.html, https://www.scimagojr.com/journalsearch.php?q=21100388654&tip=sid&clean=0",

}

Asmuss, S, Breidaks, J & Budkina, N 2015, On a problem of smoothing histopolation under additional restrictions. in D Szarkova, L Balko & D Richtarikova (eds), APLIMAT 2015 - 14th Conference on Applied Mathematics, Proceedings. Slovak University of Technology in Bratislava, Bratislava, pp. 20-30, 14th Conference on Applied Mathematics (APLIMAT), Bratislava, Slovakia, 3/02/15.

On a problem of smoothing histopolation under additional restrictions. / Asmuss, Svetlana; Breidaks, Juris; Budkina, Natalja.
APLIMAT 2015 - 14th Conference on Applied Mathematics, Proceedings. ed. / Dagmar Szarkova; Ludovit Balko; Daniela Richtarikova. Bratislava: Slovak University of Technology in Bratislava, 2015. p. 20-30.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - On a problem of smoothing histopolation under additional restrictions

AU - Asmuss, Svetlana

AU - Breidaks, Juris

AU - Budkina, Natalja

N1 - Conference code: 14

PY - 2015

Y1 - 2015

N2 - The problem of approximation of a density histogram is considered as the problem of smoothing histopolation with weights under some additional restrictions. The generalization of this problem for Hilbert spaces allows us to investigate this problem, prove the existence of its solutions and suggest the method for their construction. The other possibilities for using the obtained results in the statistical estimation problems are discussed.

AB - The problem of approximation of a density histogram is considered as the problem of smoothing histopolation with weights under some additional restrictions. The generalization of this problem for Hilbert spaces allows us to investigate this problem, prove the existence of its solutions and suggest the method for their construction. The other possibilities for using the obtained results in the statistical estimation problems are discussed.

KW - Density function

KW - Histosplines

KW - Interpolating splines

KW - Mixed splines

KW - Smoothing splines

UR - http://www.scopus.com/inward/record.url?scp=84928749980&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84928749980

SP - 20

EP - 30

BT - APLIMAT 2015 - 14th Conference on Applied Mathematics, Proceedings

A2 - Szarkova, Dagmar

A2 - Balko, Ludovit

A2 - Richtarikova, Daniela

PB - Slovak University of Technology in Bratislava

CY - Bratislava

T2 - 14th Conference on Applied Mathematics (APLIMAT)

Y2 - 3 February 2015 through 5 February 2015

ER -

On a problem of smoothing histopolation under additional restrictions

Abstract

Conference

Keywords*

Field of Science*

Publication Type*

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