05324nam 22006974a 450 991078496540332120230829003031.01-281-91924-19786611919245981-277-400-9(CKB)1000000000409735(EBL)1681644(OCoLC)879025571(SSID)ssj0000206777(PQKBManifestationID)11206841(PQKBTitleCode)TC0000206777(PQKBWorkID)10235206(PQKB)10899777(MiAaPQ)EBC1681644(WSP)00006063(Au-PeEL)EBL1681644(CaPaEBR)ebr10201347(CaONFJC)MIL191924(EXLCZ)99100000000040973520060511d2006 uy 0engur|n|---|||||txtccrMultiplicative inequalities of Carlson type and interpolation /Leo Larsson, Lech Maligranda, Josip Pečarić, Lars-Erik PerssonSingapore World Scientific20061 online resource (217 p.)Description based upon print version of record.981-256-708-9 Includes bibliographical references (p. 193-197) and index.Contents ; Preface ; 0. Introduction and Notation ; 0.1 Notational Conventions ; 0.1.1 Indices and Exponents ; 0.1.2 Constants ; 0.1.3 Measure Spaces and Related Spaces ; 0.1.4 Interpolation Spaces ; 0.1.5 Linear Mappings Between Normed Spaces ; 0.1.6 Other1. Carlson's Inequalities 1.1 Carlson's Proof ; 1.2 Hardy's Proofs ; 1.3 An Alternate Proof ; 1.4 Carlson's Inequality for Finite Sums ; 2. Some Extensions and Complements of Carlson's Inequalities ; 2.1 Gabriel ; 2.2 Levin ; 2.3 Caton ; 2.4 Bellman2.5 Two Discrete Carlson By-products 2.6 Landau and Levin-Steckin ; 2.7 Some Extensions of the Landau and Levin-Steckin Inequalities ; 2.7.1 The Case p = 1 ; 2.7.2 General p ; 2.8 Proofs ; 2.9 Levin-Godunova ; 2.10 More About Finite Sums ; 3. The Continuous Case ; 3.1 Beurling3.2 Kjellberg 3.3 Bellman ; 3.4 Sz. Nagy ; 3.5 Klefsjo ; 3.6 Hu ; 3.7 Yang-Fang ; 3.8 A Continuous Landau Type Inequality ; 3.9 Integrals on Bounded Intervals ; 4. Levin's Theorem ; 5. Some Multi-dimensional Generalizations and Variations ; 5.1 Some Preliminaries5.2 A Sharp Inequality for Cones in Rn 5.3 Some Variations on the Multi-dimensional Theme ; 5.3.1 Kjellberg Revisited ; 5.3.2 Andrianov ; 5.3.3 Pigolkin ; 5.3.4 Bertolo-Fernandez ; 5.3.5 Barza et al ; 5.3.6 Kamaly ; 5.4 Some Further Generalizations5.4.1 A Multi-dimensional Extension of Theorem 3.6Collecting all the results on the particular types of inequalities, the coverage of this book is unique among textbooks in the literature. The book focuses on the historical development of the Carlson inequalities and their many generalizations and variations. As well as almost all known results concerning these inequalities and all known proof techniques, a number of open questions suitable for further research are considered. Two chapters are devoted to clarifying the close connection between interpolation theory and this type of inequality. Other applications are also included, in additionInequalities (Mathematics)InterpolationNumerical analysisInequalities (Mathematics)Interpolation.Numerical analysis.515/.26Larsson Leo1972-739596Maligranda Lech1552366Pečarić Josip E59649Persson Lars Erik1944-149302MiAaPQMiAaPQMiAaPQBOOK9910784965403321Multiplicative inequalities of Carlson type and interpolation3812201UNINA01764nam 2200505I 450 991070546800332120240926213657.0(CKB)5470000002450705(OCoLC)880928070(EXLCZ)99547000000245070520140604j201308 ua 0engurmn|||||||||txtrdacontentcrdamediacrrdacarrierExperimental measurements of sonic boom signatures using a continuous data acquisition technique /Floyd J. Wilcox, Jr., and Alaa A. ElmiliguiHampton, Virginia :National Aeronautics and Space Administration, Langley Research Center,August 2013.1 online resource (45 pages) illustrations (some color)NASA/TP ;2013-218035Title from title screen (viewed June 4, 2014)."August 2013."Includes bibliograhpical references (pages 12-13).Angle of attacknasatData acquisitionnasatInformation flownasatMach numbernasatReynolds numbernasatSonic boomsnasatWind tunnelsnasatAngle of attack.Data acquisition.Information flow.Mach number.Reynolds number.Sonic booms.Wind tunnels.Wilcox Floyd J(Floyd Jay),1386305Langley Research Center,GPOGPOBOOK9910705468003321Experimental measurements of sonic boom signatures using a continuous data acquisition technique4236795UNINA