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Asymptotic Expansion of Norm Associated with Conjugate Trigonometric Polynomial


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1 Department of Mathematics, Hangzhou University, Hangzhou 310 028, China
     

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Let Tn(x) be trigonometric polynomial of degree n, and Tn(x) be conjugation of Tn{x). In this paper we obtain the complete asymptotic expansion for

                                      Cn=sup ||Tn||c

for n → ∞.


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  • Asymptotic Expansion of Norm Associated with Conjugate Trigonometric Polynomial

Abstract Views: 166  |  PDF Views: 0

Authors

Tianzi Jiang
Department of Mathematics, Hangzhou University, Hangzhou 310 028, China

Abstract


Let Tn(x) be trigonometric polynomial of degree n, and Tn(x) be conjugation of Tn{x). In this paper we obtain the complete asymptotic expansion for

                                      Cn=sup ||Tn||c

for n → ∞.