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    STUDIA MATHEMATICA - Issue no. 2 / 2021  
         
  Article:   SOME BESSEL TYPE ADDITIVE INEQUALITIES IN INNER PRODUCT SPACES.

Authors:  SILVESTRU SEVER DRAGOMIR.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2021.2.13

Published Online: 2021-06-15
Published Print: 2021-06-30
pp. 381-395

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In this paper we obtain some additive inequalities related to the celebrated Bessel’s inequality in inner product spaces. They complement the results obtained by Boas-Bellman, Bombieri, Selberg and Heilbronn, which have been applied for almost orthogonal series and in Number Theory.

Mathematics Subject Classification (2010): 46C05, 26D15.

Keywords: Inner product spaces, Bessel’s inequality, Schwarz’s inequality.
 
         
     
         
         
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