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Volumn 125, Issue 1, 2003, Pages 85-105

Multivariate approximating averages

Author keywords

Moduli of smoothness; Multipliers; Smoothness of an averaging operator; Strong converse inequality

Indexed keywords


EID: 0346973059     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jat.2003.09.005     Document Type: Article
Times cited : (45)

References (15)
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    • Bonami, A.1    Clerc, J.L.2
  • 2
    • 0031285766 scopus 로고    scopus 로고
    • Best approximation and K-functionals
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    • (1997) Acta Math. Hungar. , vol.75 , pp. 165-208
    • Chen, W.1    Ditzian, Z.2
  • 3
    • 0036808807 scopus 로고    scopus 로고
    • On a conjecture of Ditzian and Runovskii
    • F. Dai, K. Wang, C. Yu, On a conjecture of Ditzian and Runovskii, J. Approx. Theory 118 (2) (2002) 202-224.
    • (2002) J. Approx. Theory , vol.118 , Issue.2 , pp. 202-224
    • Dai, F.1    Wang, K.2    Yu, C.3
  • 4
    • 0040631733 scopus 로고    scopus 로고
    • A modulus of smoothness on the unit sphere
    • Z. Ditzian, A modulus of smoothness on the unit sphere, J. d'Analyse Math. 79 (1999) 189-200.
    • (1999) J. D'Analyse Math. , vol.79 , pp. 189-200
    • Ditzian, Z.1
  • 5
    • 0032218727 scopus 로고    scopus 로고
    • Fractional derivatives and best approximation
    • Z. Ditzian, Fractional derivatives and best approximation, Acta Math. Hungar. 81 (1998) 323-348.
    • (1998) Acta Math. Hungar. , vol.81 , pp. 323-348
    • Ditzian, Z.1
  • 6
    • 2542530618 scopus 로고    scopus 로고
    • Jackson inequality on the sphere
    • to appear
    • Z. Ditzian, Jackson inequality on the sphere, to appear.
    • Ditzian, Z.1
  • 8
    • 0000769248 scopus 로고    scopus 로고
    • Averages and K-functionals related to the Laplacian
    • Z. Ditzian, K. Runovskii, Averages and K-functionals related to the Laplacian, J. Approx. Theory 97 (1999) 113-139.
    • (1999) J. Approx. Theory , vol.97 , pp. 113-139
    • Ditzian, Z.1    Runovskii, K.2
  • 10
    • 0346753348 scopus 로고
    • n
    • (in Russian)
    • n, Serdica 10 (1984) 3-10 (in Russian).
    • (1984) Serdica , vol.10 , pp. 3-10
    • Kamzolov, A.I.1
  • 11
    • 0010816415 scopus 로고
    • Function spaces on the sphere that are connected with approximation theory
    • (English Transl. Math. Notes 41 (1987) 286-291)
    • P.I. Lizorkin, S.M. Nikolskii, Function spaces on the sphere that are connected with approximation theory, Mat. Zametki 41 (1987) 509-515 (English Transl. Math. Notes 41 (1987) 286-291).
    • (1987) Mat. Zametki , vol.41 , pp. 509-515
    • Lizorkin, P.I.1    Nikolskii, S.M.2
  • 12
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    • On equivalence of different moduli of smoothness on the sphere
    • K.V. Rustamov, On equivalence of different moduli of smoothness on the sphere, Proc. Stekelov Inst. Math. 204 (3) (1994) 235-260.
    • (1994) Proc. Stekelov Inst. Math. , vol.204 , Issue.3 , pp. 235-260
    • Rustamov, K.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.