Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (1): 94-98.

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On an Extension and a Refinement of Van der Corput's Inequality

  

  1. Department of Mathematics,Guangdong Institute of Education,Guangzhou 510303,China
  • Received:2004-07-07 Online:2007-03-30 Published:2023-11-15
  • About author:YANG Bi-cheng(1947-),male,native of Shangwei,Guangdong,a professor of Guangdong Institute of Education,engages in operator theory and inequalities.
  • Supported by:
    Supported by the Natural Science Foundation of Guangdong Institutions of Higher Learning,College and University(0177)

Abstract: By introducing a parameter a,we give an extension of Van der Corput's inequal- ity.Also a new strengthened version of it is considered.

Key words: Van der Corput's inequality, weight coefficient, Euler-Maclaurin's formula 

CLC Number: