266,934 research outputs found

    The Meservey-Tedrov effect in FSF double tunneling junctions

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    Double tunneling junctions of ferromagnet-superconductor-ferromagnet electrodes (FSF) show a jump in the conductance when a parallel magnetic field reverses the magnetization of one of the ferromagnetic electrodes. This change is generally attributed to the spin-valve effect or to pair breaking in the superconductor because of spin accumulation. In this paper it is shown that the Meservey-Tedrov effect causes a similar change in the conductance since the magnetic field changes the energy spectrum of the quasi-particles in the superconductor. A reversal of the bias reverses the sign in the conductance jump

    On Some Discrete Inequalities in Normed Linear Spaces

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    Some sharp discrete inequalities in normed linear spaces are obtained. New reverses of the generalised triangle inequality are also given

    More on Reverse Triangle Inequality in Inner Product Spaces

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    Refining some results of S. S. Dragomir, several new reverses of the generalized triangle inequality in inner product spaces are given. Among several results, we establish some reverses for the Schwarz inequality. In particular, it is proved that if aa is a unit vector in a real or complex inner product space (H;)(H;), r,s>0,p(0,s],D={xH,rxsap},x1,x2D{0}r, s>0, p\in(0,s], D=\{x\in H,\|rx-sa\|\leq p\}, x_1, x_2\in D-\{0\} and αr,s=min{r2xk2p2+s22rsxk:1k2} \alpha_{r,s}=\min\{\frac{r^2\|x_k\|^2-p^2+s^2}{2rs\|x_k\|}: 1\leq k\leq 2 \}, then x1x2Re(x1+x2)2αr,s.\frac{\|x_1\|\|x_2\|-Re}{(\|x_1\|+\|x_2\|)^2}\leq \alpha_{r,s}.Comment: 12 page

    Additive Reverses of the Generalised Triangle Inequality in Normed Spaces

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    Some additive reverses of the generalised triangle inequality in normed linear spaces are given. Applications for complex numbers are provided as well

    Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces

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    Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given. Applications for particular cases of interest are also provided

    Improved Young and Heinz inequalities with the Kantorovich constant

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    In this article, we study the further refinements and reverses of the Young and Heinz inequalities with the Kantorovich constant. These modified inequalities are used to establish corresponding operator inequalities on Hilbert space and Hilbert-Schmidt norm inequalities.Comment: 11 page

    New Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces

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    New reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces are pointed out. These results complement the recent ones obtained by the author in an earlier paper. Further, they are employed to establish new Gruss type inequalities. Finally, some natural integral inequalities are stated as well

    Reverses of the Triangle Inequality in Banach Spaces

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    Recent reverses for the discrete generalised triangle inequality and its continuous version for vector-valued integrals in Banach spaces are surveyed. New results are also obtained. Particular instances of interest in Hilbert spaces and for complex numbers and functions are pointed out as well.Comment: 48 page

    Some Inequalities for Functions of Bounded Variation with Applications to Landau Type Results

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    Some inequalities for functions of bounded variation that provide reverses for the inequality between the integral mean and the p−norm for p Є [1,∞] are established. Applications related to the celebrated Landau inequality between the norms of the derivatives of a function are also pointed out
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