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Volumn 32, Issue 1, 2010, Pages 25-41

Construction of positive definite cubature formulae and approximation of functions via Voronoi tessellations

Author keywords

Centroidal Voronoi tessellation; Cubature formulae; Generalized Voronoi tessellation; Multivariate approximation; Partitions of unity; Positive definite formulae

Indexed keywords


EID: 72249098195     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10444-008-9080-9     Document Type: Article
Times cited : (20)

References (12)
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  • 3
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  • 4
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    • Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations
    • Du, Q., Emelianenko, M., Ju, L.: Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations. SIAM J. Numer. Anal. 44(1), 102-119 (2006).
    • (2006) SIAM J. Numer. Anal. , vol.44 , Issue.1 , pp. 102-119
    • Du, Q.1    Emelianenko, M.2    Ju, L.3
  • 5
    • 0041414277 scopus 로고    scopus 로고
    • A stability criterion to the moment theorem
    • Fejes Tóth, G.: A stability criterion to the moment theorem. Studia Sci. Math. Hungar. 38, 209-224 (2001).
    • (2001) Studia Sci. Math. Hungar. , vol.38 , pp. 209-224
    • Fejes tóth, G.1
  • 6
    • 0010824808 scopus 로고
    • Sur la représentation d'une population infinie par un nombre fini d'éléments
    • Fejes Tóth, L.: Sur la représentation d'une population infinie par un nombre fini d'éléments. Acta Math. Acad. Sci. Hungar. 10, 299-304 (1959).
    • (1959) Acta Math. Acad. Sci. Hungar. , vol.10 , pp. 299-304
    • Fejes tóth, L.1
  • 7
    • 3042717647 scopus 로고    scopus 로고
    • Über optimale Quantisierung
    • Gruber, P. M.: Über optimale Quantisierung. Math. Semesterberichte 49, 227-251 (2003).
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    • Gruber, P.M.1
  • 8
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    • Optimum quantization and its applications
    • Gruber, P. M.: Optimum quantization and its applications. Adv. Math. 186, 456-497 (2004).
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    • Gruber, P.M.1
  • 9
    • 33747643448 scopus 로고    scopus 로고
    • A definiteness theory for cubature formulae of order two
    • Guessab, A., Nouisser, O., Schmeisser, G.: A definiteness theory for cubature formulae of order two. Constr. Approx. 24, 263-288 (2006).
    • (2006) Constr. Approx. , vol.24 , pp. 263-288
    • Guessab, A.1    Nouisser, O.2    Schmeisser, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.