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INNER PRODUCT INEQUALITIES FOR TWO EQUIVALENT NORMS AND APPLICATIONS

$icon-email$ S. S. DRAGOMIR

Abstract

Some inequalities for two inner products $⟨ \cdot, \cdot ⟩_{1}$ and $⟨ \cdot, \cdot ⟩_{2}$ which generate the equivalent norms $‖ \cdot ‖_{1}$ and $‖ \cdot ‖_{2}$ with applications for invertible bounded linear operators, positive definite self-adjoint operators, integral and discrete inequalities are given.

Acta Mathematica Vietnamica

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INNER PRODUCT INEQUALITIES FOR TWO EQUIVALENT NORMS AND APPLICATIONS

Abstract