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Titlebook: Recent Progress in Inequalities; G. V. Milovanović (Faculty of Electronic Engineeri Book 1998 Springer Science+Business Media B.V. 1998 Bo

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On the Application of the Peano Representation of Linear Functionals in Numerical Analysise range of possible applications of Peano’s representation of linear functionals. In the literature, Peano kernel theory is mostly considered for restricted classes of linear functionals. In this paper, it is also our objective to give an elementary but general approach for continuous linear functionals on .[., .].
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Some Generalisations and Refinements of the Hardy Inequalitylity are discussed, and results concerning the two-dimensional Hardy operator are extended to Hardy operators defined on 1ℝ. × ℝ.. The main tools are the interpolation theory and some direct approaches for the fractional order case, and a recently derived .-dimensional Hardy inequality for operators on ℝ..
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