메뉴 건너뛰기




Volumn 19, Issue 3, 2003, Pages 329-338

Markov-Bernstein-type inequality for trigonometric polynomials with respect to doubling weights on [-ω, ω]

Author keywords

Markov Bernstein inequality; Trigonometric polynomials; Videnskii's inequality doubling weights

Indexed keywords


EID: 0037971999     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00365-002-0504-3     Document Type: Article
Times cited : (10)

References (17)
  • 1
    • 0001790240 scopus 로고
    • On inequalities for trigonometric polynomials and their derivatives
    • V. V. ARESTOV (1981): On inequalities for trigonometric polynomials and their derivatives. Izv. Akad. Nauk SSSR Ser. Mat., 45:3-22.
    • (1981) Izv. Akad. Nauk SSSR Ser. Mat. , vol.45 , pp. 3-22
    • Arestov, V.V.1
  • 2
    • 0038780329 scopus 로고
    • Asymptotic and extremal properties of orthogonal polynomials with singularities in the weight
    • translation in Proc. Steklov Inst. Math., (1994), 198(1):37-82
    • V. M. BADKOV (1992): Asymptotic and extremal properties of orthogonal polynomials with singularities in the weight (Russian). Trudy Mat. Inst. Steklov., 198:41-88; translation in Proc. Steklov Inst. Math., (1994), 198(1):37-82.
    • (1992) Trudy Mat. Inst. Steklov. , vol.198 , pp. 41-88
    • Badkov, V.M.1
  • 3
    • 0000078257 scopus 로고
    • Bernstein and Markov-type inequalities for generalized nonnegative polynomials
    • T. ERDÉLYI (1991): Bernstein and Markov-type inequalities for generalized nonnegative polynomials. Canad. J. Math., 43(3):495-505.
    • (1991) Canad. J. Math. , vol.43 , Issue.3 , pp. 495-505
    • Erdélyi, T.1
  • 4
    • 38249006874 scopus 로고
    • Remez-type inequalities and their applications
    • T. ERDÉLYI (1993): Remez-type inequalities and their applications. J. Comput. Appl. Math., 47:167-209.
    • (1993) J. Comput. Appl. Math. , vol.47 , pp. 167-209
    • Erdélyi, T.1
  • 5
    • 0003061320 scopus 로고
    • Nikolskii-type inequalities for generalized polynomials and zeros of orthogonal polynomials
    • T. ERDÉLYI (1991): Nikolskii-type inequalities for generalized polynomials and zeros of orthogonal polynomials. J. Approx. Theory, 67:80-92.
    • (1991) J. Approx. Theory , vol.67 , pp. 80-92
    • Erdélyi, T.1
  • 6
    • 84962980353 scopus 로고
    • Remez-type inequalities on the size of generalized polynomials
    • T. ERDÉLYI (1992): Remez-type inequalities on the size of generalized polynomials. J. London Math. Soc., 45:255-264.
    • (1992) J. London Math. Soc. , vol.45 , pp. 255-264
    • Erdélyi, T.1
  • 7
    • 0033196037 scopus 로고    scopus 로고
    • Notes on inequalities with doubling weights
    • T. ERDÉLYI (1999): Notes on inequalities with doubling weights. J. Approx. Theory, 100:60-72.
    • (1999) J. Approx. Theory , vol.100 , pp. 60-72
    • Erdélyi, T.1
  • 8
    • 84966200669 scopus 로고
    • Two nonequivalent conditions for weight functions
    • C. FEFFERMAN, B. MUCKENHOUPT (1994): Two nonequivalent conditions for weight functions. Proc. Amer. Math. Soc., 45:99-104.
    • (1994) Proc. Amer. Math. Soc. , vol.45 , pp. 99-104
    • Fefferman, C.1    Muckenhoupt, B.2
  • 9
    • 33646945824 scopus 로고
    • Fast decreasing polynomials
    • K. G. IVANOV, V. TOTIK (1990): Fast decreasing polynomials. Constr. Approx., 6: 1-20.
    • (1990) Constr. Approx. , vol.6 , pp. 1-20
    • Ivanov, K.G.1    Totik, V.2
  • 12
    • 0005826238 scopus 로고    scopus 로고
    • p Markov-Bernstein inequalities on arcs of the unit circle
    • p Markov-Bernstein inequalities on arcs of the unit circle. J. Approx. Theory, 108:1-17.
    • (2001) J. Approx. Theory , vol.108 , pp. 1-17
    • Lubinsky, D.S.1
  • 13
    • 0001645861 scopus 로고
    • Quadrature sums involving pth powers of polynomials
    • D. LUBINSKY, A. MÁTÉ, P. NEVAI (1987): Quadrature sums involving pth powers of polynomials. SIAM J. Math. Anal., 18:531-544.
    • (1987) SIAM J. Math. Anal. , vol.18 , pp. 531-544
    • Lubinsky, D.1    Máté, A.2    Nevai, P.3
  • 14
    • 0001579461 scopus 로고
    • Some weighted polynomial inequalities
    • G. MASTROIANNI (1995): Some weighted polynomial inequalities. J. Comput. Appl. Math., 65:279-292.
    • (1995) J. Comput. Appl. Math. , vol.65 , pp. 279-292
    • Mastroianni, G.1
  • 16
    • 0004136765 scopus 로고
    • Princeton, NJ: Princeton University Press
    • E. M. STEIN (1993): Harmonic Analysis. Princeton, NJ: Princeton University Press.
    • (1993) Harmonic Analysis
    • Stein, E.M.1
  • 17
    • 0037765767 scopus 로고
    • p Extremal estimates for the derivative of a trigonometric polynomial on an interval shorter than the period
    • p Extremal estimates for the derivative of a trigonometric polynomial on an interval shorter than the period (in Russian). Dokl. Akad. Nauk SSSR, 130:13-16.
    • (1960) Dokl. Akad. Nauk SSSR , vol.130 , pp. 13-16
    • Videnskii, V.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.