Additive Reverses of the Generalised Triangle Inequality in Normed Spaces
نویسنده
چکیده
Some additive reverses of the generalised triangle inequality in normed linear spaces are given. Applications for complex numbers are provided as well.
منابع مشابه
On Some Discrete Inequalities in Normed Linear Spaces
Some sharp discrete inequalities in normed linear spaces are obtained. New reverses of the generalised triangle inequality are also given.
متن کاملQuadratic Reverses of the Triangle Inequality in Inner Product Spaces
Some sharp quadratic reverses for the generalised triangle inequality in inner product spaces and applications are given.
متن کاملReverses of the Triangle Inequality in Inner Product Spaces
Some new reverses for the generalised triangle inequality in inner product spaces and applications are given. Applications in connection to the Schwarz inequality are provided as well.
متن کاملAdditive Reverses of the Continuous Triangle Inequality for Bochner Integral of Vector-valued Functions in Hilbert Spaces
Some additive reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for complex-valued functions are provided as well.
متن کاملReverses of the Triangle Inequality in Banach Spaces
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.
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تاریخ انتشار 2004