LEADER 04525nam 22006615 450 001 9910254191003321 005 20200629115713.0 010 $a3-319-21121-8 024 7 $a10.1007/978-3-319-21121-3 035 $a(CKB)3710000000454179 035 $a(SSID)ssj0001558414 035 $a(PQKBManifestationID)16182669 035 $a(PQKBTitleCode)TC0001558414 035 $a(PQKBWorkID)14819134 035 $a(PQKB)10981856 035 $a(DE-He213)978-3-319-21121-3 035 $a(MiAaPQ)EBC5579737 035 $a(PPN)187689385 035 $a(EXLCZ)993710000000454179 100 $a20150711d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aIntelligent Comparisons: Analytic Inequalities /$fby George A. Anastassiou 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XV, 662 p.) 225 1 $aStudies in Computational Intelligence,$x1860-949X ;$v609 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-21120-X 327 $aFractional Polya Integral Inequality -- Univariate Fractional Polya Integral Inequalities -- About Multivariate General Fractional Polya Integral Inequalities -- Balanced Canavati Fractional Opial Inequalities -- Fractional Representation Formulae and Fractional Ostrowski Inequalities -- Basic Fractional Integral Inequalities -- Harmonic Multivariate Ostrowski and Grüss Inequalities -- Fractional Ostrowski and Grüss Inequalities Using Several Functions -- Further Interpretation of Some Fractional Ostrowski and Grüss Type Inequalities -- Multivariate Fractional Representation Formula and Ostrowski Inequality -- Fractional Representation Formulae and Ostrowski Inequalities -- About Multivariate Lyapunov Inequalities -- Ostrowski Type Inequalities for Semigroups -- About Ostrowski Inequalities for Cosine and Sine Operator Functions -- About Hilbert-Pachpatte Inequalities -- About Ostrowski and Landau Type Inequalities -- Multidimensional Ostrowski Type Inequalities -- About Fractional Representation Formulae and Right Fractional Inequalities -- About Canavati fractional Ostrowski inequalities -- The Most General Fractional Representation Formula -- Rational Inequalities for Integral Operators Using Convexity -- Fractional Integral Inequalities with Convexity -- Vectorial Inequalities for Integral Operators -- Vectorial Splitting Rational Lp Inequalities for Integral Operators -- Separating Rational Lp Inequalities for Integral Operators -- About Vectorial Hardy Type Fractional Inequalities -- About Vectorial Fractional Integral Inequalities Using Convexity. 330 $aThis monograph presents recent and original work of the author on inequalities in real, functional and fractional analysis. The chapters are self-contained and can be read independently, they include an extensive list of references per chapter. The book?s results are expected to find applications in many areas of applied and pure mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such this monograph is suitable for researchers, graduate students, and seminars of the above subjects, as well as Science and Engineering University libraries.  . 410 0$aStudies in Computational Intelligence,$x1860-949X ;$v609 606 $aComputational intelligence 606 $aArtificial intelligence 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014 606 $aArtificial Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/I21000 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 615 0$aComputational intelligence. 615 0$aArtificial intelligence. 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 14$aComputational Intelligence. 615 24$aArtificial Intelligence. 615 24$aAnalysis. 676 $a512.97 700 $aAnastassiou$b George A$4aut$4http://id.loc.gov/vocabulary/relators/aut$060024 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254191003321 996 $aIntelligent Comparisons: Analytic Inequalities$91542875 997 $aUNINA