LEADER 03868nam 22005655 450 001 9910481958903321 005 20200702031755.0 010 $a3-030-38636-8 024 7 $a10.1007/978-3-030-38636-8 035 $a(CKB)4100000010121954 035 $a(MiAaPQ)EBC6112234 035 $a(DE-He213)978-3-030-38636-8 035 $a(PPN)243769687 035 $a(EXLCZ)994100000010121954 100 $a20200115d2020 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntelligent Analysis: Fractional Inequalities and Approximations Expanded /$fby George A. Anastassiou 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (xiv, 525 pages) 225 1 $aStudies in Computational Intelligence,$x1860-949X ;$v886 311 $a3-030-38635-X 327 $aGeneral Ordinary Iyengar Inequalities -- Caputo fractional Iyengar Inequalities -- Canavati fractional Iyengar Inequalities -- General Multivariate Iyengar inequalities -- Multivariate Iyengar inequalities for radial functions -- Multidimensional Fractional Iyengar inequalities for radial functions -- General Multidimensional Fractional Iyengar inequalities -- Delta Time Scales Iyengar Inequalities. 330 $aThis book focuses on computational and fractional analysis, two areas that are very important in their own right, and which are used in a broad variety of real-world applications. We start with the important Iyengar type inequalities and we continue with Choquet integral analytical inequalities, which are involved in major applications in economics. In turn, we address the local fractional derivatives of Riemann?Liouville type and related results including inequalities. We examine the case of low order Riemann?Liouville fractional derivatives and inequalities without initial conditions, together with related approximations. In the next section, we discuss quantitative complex approximation theory by operators and various important complex fractional inequalities. We also cover the conformable fractional approximation of Csiszar?s well-known f-divergence, and present conformable fractional self-adjoint operator inequalities. We continue by investigating new local fractional M-derivatives that share all the basic properties of ordinary derivatives. In closing, we discuss the new complex multivariate Taylor formula with integral remainder. Sharing results that can be applied in various areas of pure and applied mathematics, the book offers a valuable resource for researchers and graduate students, and can be used to support seminars in related fields. 410 0$aStudies in Computational Intelligence,$x1860-949X ;$v886 606 $aComputational intelligence 606 $aControl engineering 606 $aComputational complexity 606 $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014 606 $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010 606 $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022 615 0$aComputational intelligence. 615 0$aControl engineering. 615 0$aComputational complexity. 615 14$aComputational Intelligence. 615 24$aControl and Systems Theory. 615 24$aComplexity. 676 $a515 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 $a9910481958903321 996 $aIntelligent Analysis: Fractional Inequalities and Approximations Expanded$92851748 997 $aUNINA