LEADER 03339nam 22005535 450 001 9910299894003321 005 20200629212251.0 010 $a3-319-66936-2 024 7 $a10.1007/978-3-319-66936-6 035 $a(CKB)4100000000586810 035 $a(DE-He213)978-3-319-66936-6 035 $a(MiAaPQ)EBC6281284 035 $a(MiAaPQ)EBC5577865 035 $a(Au-PeEL)EBL5577865 035 $a(OCoLC)1066178376 035 $a(PPN)204534100 035 $a(EXLCZ)994100000000586810 100 $a20170902d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations /$fby George A. Anastassiou 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (X, 319 p.) 225 1 $aStudies in Computational Intelligence,$x1860-949X ;$v734 311 $a3-319-66935-4 327 $aA strong left Fractional Calculus for Banach space valued functions -- Strong Right Abstract Fractional Calculus -- Strong mixed and generalized Abstract Fractional Calculus -- Foundations of General Fractional Analysis for Banach space valued functions -- Vector abstract fractional Korovkin Approximation -- Basic Abstract Korovkin theory -- High Approximation for Banach space valued functions -- Vectorial abstract fractional approximation using linear operators -- Abstract fractional trigonometric Korovkin approximation -- Multivariate Abstract Approximation for Banach space valued functions -- Arctangent function based Abstract Neural Network approximation. . 330 $aThis brief book presents the strong fractional analysis of Banach space valued functions of a real domain. The book?s results are abstract in nature: analytic inequalities, Korovkin approximation of functions and neural network approximation. The chapters are self-contained and can be read independently. This concise book is suitable for use in related graduate classes and many research projects. An extensive list of references is provided for each chapter. The book?s results are relevant for many areas of pure and applied mathematics. As such, it offers a unique resource for researchers, and a valuable addition to all science and engineering libraries. 410 0$aStudies in Computational Intelligence,$x1860-949X ;$v734 606 $aComputational intelligence 606 $aArtificial intelligence 606 $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014 606 $aArtificial Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/I21000 615 0$aComputational intelligence. 615 0$aArtificial intelligence. 615 14$aComputational Intelligence. 615 24$aArtificial Intelligence. 676 $a515.732 700 $aAnastassiou$b George A$4aut$4http://id.loc.gov/vocabulary/relators/aut$060024 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299894003321 996 $aIntelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations$92511350 997 $aUNINA