A New Proof of Inequality for Continuous Linear Functionals
نویسندگان
چکیده
It is well known that a continuous linear functional is bounded, and finding the bound or norm of a continuous linear functional is a fundamental task in functional analysis. Recently, in light of the Taylor formula and the Cauchy-Schwarz inequality, Gavrea and Ivan in 1 obtained an inequality for the continuous linear functionalL satisfying 1.1 . In order to state their result, we need some more symbols. Recall that the L2 norm of a square integrable function f on a, b is defined by
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