A Bound for the Derivative of Positive Real Functions

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Previous article Next article A Bound for the Derivative of Positive Real FunctionsF. M. RezaF. M. Rezahttps://doi.org/10.1137/1004005PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] F. M. Reza, A multiplication theorem for positive real functions, Proc. Amer. Math. Soc., 9 (1958), 496–499 MR0096504 0089.28803 CrossrefGoogle Scholar[2A] C. Caratheodory, Theory of functions of a complex variable. Vol. 1, Chelsea Publishing Co., New York, N. Y., 1954xiii+301 MR0060009 0055.30301 Google Scholar[2B] C. Caratheodory, Theory of functions of a complex variable. Vol. 2, Chelsea Publishing Company, New York, 1954, 220– MR0064861 0056.06703 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Applications of the Carathéodory’s Inequality for Driving Point Impedance Functions2 January 2022 | European Journal of Science and Technology Cross Ref Circuit Applications of Schwarz-Pick LemmaIEEE Transactions on Circuits and Systems II: Express Briefs, Vol. 69, No. 1 Cross Ref Some results on the behaviour of transfer functions at the right half planeEvolution Equations & Control Theory, Vol. 11, No. 1 Cross Ref Schwarz lemma for driving point impedance functions and its circuit applications19 February 2019 | International Journal of Circuit Theory and Applications, Vol. 47, No. 6 Cross Ref On boundary analysis for derivative of driving point impedance functions and its circuit applications8 November 2018 | IET Circuits, Devices & Systems, Vol. 13, No. 2 Cross Ref DÜMF Mühendislik Dergisi, Vol. 10, No. 2 Cross Ref Boundary Analysis for the Derivative of Driving Point Impedance FunctionsIEEE Transactions on Circuits and Systems II: Express Briefs, Vol. 65, No. 9 Cross Ref Sharp inequalities for positive functions19 October 2007 | Complex Variables and Elliptic Equations, Vol. 52, No. 2-3 Cross Ref Schwarz's Lemma for n-PortsJournal of the Franklin Institute, Vol. 317, No. 2 Cross Ref Restrictions of the derivatives of positive real functionsJournal of the Franklin Institute, Vol. 312, No. 5 Cross Ref Particular Inequalities Cross Ref Positive real derivatives of driving point functionsJournal of the Franklin Institute, Vol. 287, No. 1 Cross Ref Bounds on the Derivatives of Positive FunctionsJ. L. Goldberg18 July 2006 | SIAM Review, Vol. 8, No. 3AbstractPDF (213 KB)Nonsymmetric Lattice Sections IIEEE Transactions on Circuit Theory, Vol. 12, No. 4 Cross Ref A Note on the Second Derivative of a P. R. FunctionCarl E. Pearson18 July 2006 | SIAM Review, Vol. 7, No. 2PDF (94 KB) Volume 4, Issue 1| 1962SIAM Review History Submitted:07 July 1961Published online:18 July 2006 InformationCopyright © 1962 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1004005Article page range:pp. 40-42ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics