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Volumn 118, Issue 1, 2002, Pages 20-65

Coconvex approximation

Author keywords

Coconvex polynomial approximation; Jackson estimates

Indexed keywords


EID: 0036748378     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.2002.3695     Document Type: Article
Times cited : (25)

References (14)
  • 1
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    • Monotone approximation by polynomials
    • R. A. DeVore, Monotone approximation by polynomials, SIAM J. Math. 8 (1977), 906-921.
    • (1977) SIAM J. Math , vol.8 , pp. 906-921
    • DeVore, R.A.1
  • 2
    • 0001353145 scopus 로고
    • Pointwise estimates for monotone polynomial approximation
    • R. A. DeVore and X. M. Yu, Pointwise estimates for monotone polynomial approximation, Constr. Approx. 1 (1985), 323-331.
    • (1985) Constr. Approx , vol.1 , pp. 323-331
    • DeVore, R.A.1    Yu, X.M.2
  • 3
    • 0004227421 scopus 로고
    • "Moduli of Smoothness"
    • Springer Series in Computational Mathematics, Springer-Verlag, New York
    • Z. Ditzian and V. Totik "Moduli of Smoothness," Springer Series in Computational Mathematics, Springer-Verlag, New York, 1987.
    • (1987)
    • Ditzian, Z.1    Totik, V.2
  • 4
    • 0003742780 scopus 로고
    • "Introduction to the Theory of Uniform Approximation of Functions by Polynomials"
    • Nauka, Moscow, (in Russian)
    • V. K. Dzyadyk, "Introduction to the Theory of Uniform Approximation of Functions by Polynomials," Nauka, Moscow, 1977 (in Russian).
    • (1977)
    • Dzyadyk, V.K.1
  • 6
    • 0000039409 scopus 로고    scopus 로고
    • Comonotone approximation
    • (in Russian)
    • J. Gilewicz and I. A. Shevchuk, Comonotone approximation, Fund. Prikl. Mat. 2 (1996), 319-363 (in Russian).
    • (1996) Fund. Prikl. Mat , vol.2 , pp. 319-363
    • Gilewicz, J.1    Shevchuk, I.A.2
  • 8
    • 0034273050 scopus 로고    scopus 로고
    • Shape-preserving approximation by polynomials
    • D. Leviatan, Shape-preserving approximation by polynomials, J. Comput. Appl. Math. 121 (2000), 73-94.
    • (2000) J. Comput. Appl. Math , vol.121 , pp. 73-94
    • Leviatan, D.1
  • 9
    • 0002164264 scopus 로고    scopus 로고
    • Constants in comonotone polynomial approximation-A survey
    • (M. W. Müller, M. D. Buhmann, D. H. Mache, and M. Felten, Eds.), Birkhäuser, Basel
    • D. Leviatan and I. A. Shevchuk, Constants in comonotone polynomial approximation-A survey, in "New Developments in Approximation Theory," (M. W. Müller, M. D. Buhmann, D. H. Mache, and M. Felten, Eds.), Birkhäuser, Basel, 1999.
    • (1999) "New Developments in Approximation Theory"
    • Leviatan, D.1    Shevchuk, I.A.2
  • 10
    • 0033194245 scopus 로고    scopus 로고
    • Some positive results and counterexamples in comonotone approximation II
    • D. Leviatan and I. A. Shevchuk, Some positive results and counterexamples in comonotone approximation II, J. Approx. Theory 100 (1999), 113-143.
    • (1999) J. Approx. Theory , vol.100 , pp. 113-143
    • Leviatan, D.1    Shevchuk, I.A.2
  • 11
    • 0001615886 scopus 로고    scopus 로고
    • Piecewise coapproximation and Whitney inequality
    • M. G. Pleshakov and A. V. Shatalina, Piecewise coapproximation and Whitney inequality, J. Approx. Theory 105 (2000), 189-210.
    • (2000) J. Approx. Theory , vol.105 , pp. 189-210
    • Pleshakov, M.G.1    Shatalina, A.V.2
  • 12
    • 0004026821 scopus 로고
    • "Polynomial Approximation and Traces of Functions Continuous on a Segment"
    • Naukova Dumka, Kyiv, (in Russian)
    • I. A. Shevchuk, "Polynomial Approximation and Traces of Functions Continuous on a Segment," Naukova Dumka, Kyiv, 1992 (in Russian).
    • (1992)
    • Shevchuk, I.A.1
  • 13
    • 0001738627 scopus 로고
    • Orders of coapproximation of functions by algebraic polynomials
    • English transl. in Math. Notes 29 (1981), 63-70
    • A. S. Shvedov, Orders of coapproximation of functions by algebraic polynomials, Mat. Zametki 29 (1981), 117-130; English transl. in Math. Notes 29 (1981), 63-70.
    • (1981) Mat. Zametki , vol.29 , pp. 117-130
    • Shvedov, A.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.