Acta Mathematica Vietnamica
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INNER PRODUCT INEQUALITIES FOR TWO EQUIVALENT NORMS AND APPLICATIONS
S. S. DRAGOMIRpp. 361-369
Abstract
Some inequalities for two inner products $\langle\cdot,\cdot\rangle_1$ and $\langle\cdot,\cdot\rangle_2$ 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.