On Some Inequalities in Normed Algebras

نویسندگان

  • SEVER S. DRAGOMIR
  • S. Saitoh
چکیده

Some inequalities in normed algebras that provides lower and upper bounds for the norm of ∑n j=1 ajxj are obtained. Applications for estimating the quantities ∥∥∥∥x−1∥∥x± ∥∥y−1∥∥ y∥∥ and ∥∥∥∥y−1∥∥x± ∥∥x−1∥∥ y∥∥ for invertible elements x, y in unital normed algebras are also given.

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تاریخ انتشار 2007