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Volumn 385, Issue 1, 2012, Pages 254-263

Discrete laguerre-sobolev expansions: A cohen type inequality

Author keywords

Bessel functions; Cohen type inequality; Laguerre polynomials; Laguerre Sobolev type polynomials

Indexed keywords


EID: 80051794694     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2011.06.036     Document Type: Article
Times cited : (6)

References (14)
  • 1
    • 79952190001 scopus 로고    scopus 로고
    • A new approach to the asymptotics of Sobolev type orthogonal polynomials
    • Alfaro M., Moreno-Balcázar J.J., Peña A., Rezola M.L. A new approach to the asymptotics of Sobolev type orthogonal polynomials. J. Approx. Theory 2011, 163:460-480.
    • (2011) J. Approx. Theory , vol.163 , pp. 460-480
    • Alfaro, M.1    Moreno-Balcázar, J.J.2    Peña, A.3    Rezola, M.L.4
  • 2
    • 0001670810 scopus 로고
    • Mean convergence of expansions in Laguerre and Hermite series
    • Askey R., Wainger S. Mean convergence of expansions in Laguerre and Hermite series. Amer. J. Math. 1965, 87:695-708.
    • (1965) Amer. J. Math. , vol.87 , pp. 695-708
    • Askey, R.1    Wainger, S.2
  • 3
    • 0001412280 scopus 로고
    • On a conjecture of Littlewood and idempotent measures
    • Cohen P.J. On a conjecture of Littlewood and idempotent measures. Amer. J. Math. 1960, 82:191-212.
    • (1960) Amer. J. Math. , vol.82 , pp. 191-212
    • Cohen, P.J.1
  • 4
    • 57849158627 scopus 로고    scopus 로고
    • A Cohen type inequality for Laguerre-Sobolev expansions
    • Fejzullahu B.Xh., Marcellán F. A Cohen type inequality for Laguerre-Sobolev expansions. J. Math. Anal. Appl. 2009, 352:880-889.
    • (2009) J. Math. Anal. Appl. , vol.352 , pp. 880-889
    • Fejzullahu, B.1    Marcellán, F.2
  • 6
    • 84962990148 scopus 로고
    • A new proof of a theorem on rearrangements
    • Hardy G.H., Littlewood J.E. A new proof of a theorem on rearrangements. J. Lond. Math. Soc. 1948, 23:163-168.
    • (1948) J. Lond. Math. Soc. , vol.23 , pp. 163-168
    • Hardy, G.H.1    Littlewood, J.E.2
  • 8
    • 0003866756 scopus 로고
    • Generalizations of Laguerre polynomials
    • Koekoek R. Generalizations of Laguerre polynomials. J. Math. Anal. Appl. 1990, 153:576-590.
    • (1990) J. Math. Anal. Appl. , vol.153 , pp. 576-590
    • Koekoek, R.1
  • 9
    • 21144479788 scopus 로고
    • A generalization of Laguerre polynomials
    • Koekoek R., Meijer H.G. A generalization of Laguerre polynomials. SIAM J. Math. Anal. 1993, 24:768-782.
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 768-782
    • Koekoek, R.1    Meijer, H.G.2
  • 10
    • 84966199153 scopus 로고
    • Mean convergence of Hermite and Laguerre series II
    • Muckenhoupt B. Mean convergence of Hermite and Laguerre series II. Trans. Amer. Math. Soc. 1970, 147:433-460.
    • (1970) Trans. Amer. Math. Soc. , vol.147 , pp. 433-460
    • Muckenhoupt, B.1
  • 11
    • 0002048729 scopus 로고
    • Mean Cesàro summability of Laguerre expansions and norm estimates with shifted parameter
    • Markett C. Mean Cesàro summability of Laguerre expansions and norm estimates with shifted parameter. Anal. Math. 1982, 8:19-37.
    • (1982) Anal. Math. , vol.8 , pp. 19-37
    • Markett, C.1
  • 12
    • 0141918241 scopus 로고
    • Cohen type inequalities for Jacobi, Laguerre and Hermite expansions
    • Markett C. Cohen type inequalities for Jacobi, Laguerre and Hermite expansions. SIAM J. Math. Anal. 1983, 14:819-833.
    • (1983) SIAM J. Math. Anal. , vol.14 , pp. 819-833
    • Markett, C.1
  • 13
    • 3042668357 scopus 로고    scopus 로고
    • On convergence and divergence of Fourier-Bessel series
    • Stempak K. On convergence and divergence of Fourier-Bessel series. Electron. Trans. Numer. Anal. 2002, 14:223-235.
    • (2002) Electron. Trans. Numer. Anal. , vol.14 , pp. 223-235
    • Stempak, K.1
  • 14
    • 0003217929 scopus 로고
    • Orthogonal Polynomials
    • Amer. Math. Soc., Providence, RI
    • Szego G. Orthogonal Polynomials. Amer. Math. Soc. Colloq. Publ. 1975, vol. 23. Amer. Math. Soc., Providence, RI. fourth edition.
    • (1975) Amer. Math. Soc. Colloq. Publ. , vol.23
    • Szego, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.