LEADER 02629nam 2200541 450 001 9910820621303321 005 20230814222148.0 010 $a3-11-052244-6 010 $a3-11-052362-0 024 7 $a10.1515/9783110523621 035 $a(CKB)4100000004244542 035 $a(MiAaPQ)EBC5159021 035 $a(DE-B1597)473987 035 $a(OCoLC)1035327608 035 $a(DE-B1597)9783110523621 035 $a(Au-PeEL)EBL5159021 035 $a(CaPaEBR)ebr11567002 035 $a(EXLCZ)994100000004244542 100 $a20180622d2018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFractional Hermite-Hadamard inequalities /$fJinRong Wang, Michal Feckan 210 1$aBerlin ;$aBoston :$cDe Gruyter,$d[2018] 210 4$dİ2018 215 $a1 online resource (390 pages) 225 1 $aFractional calculus in applied sciences and engineering ;$vVolume 5 311 $a3-11-052220-9 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tAcknowledgment -- $tPreface -- $tContents -- $t1. Introduction -- $t2. Preliminaries -- $t3. Fractional integral identities -- $t4. Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals -- $t5. Hermite-Hadamard inequalities involving Hadamard fractional integrals -- $tBibliography -- $tAbout the authors -- $tIndex 330 $aThis book extends classical Hermite-Hadamard type inequalities to the fractional case via establishing fractional integral identities, and discusses Riemann-Liouville and Hadamard integrals, respectively, by various convex functions. Illustrating theoretical results via applications in special means of real numbers, it is an essential reference for applied mathematicians and engineers working with fractional calculus. ContentsIntroductionPreliminariesFractional integral identitiesHermite-Hadamard inequalities involving Riemann-Liouville fractional integralsHermite-Hadamard inequalities involving Hadamard fractional integrals 410 0$aFractional calculus in applied sciences and engineering ;$vVolume 5. 606 $aFractional calculus 606 $aCalculus 615 0$aFractional calculus. 615 0$aCalculus. 676 $a515/.83 700 $aWang$b JinRong$c(Mathematics professor),$01051916 702 $aFec?kan$b Michal 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910820621303321 996 $aFractional Hermite-Hadamard inequalities$93992989 997 $aUNINA