LEADER 04147nam 2200613 a 450 001 9910464238003321 005 20200520144314.0 010 $a1-283-14489-1 010 $a9786613144898 010 $a981-4317-63-2 035 $a(CKB)3360000000001401 035 $a(EBL)731227 035 $a(OCoLC)741492827 035 $a(SSID)ssj0000631674 035 $a(PQKBManifestationID)12234343 035 $a(PQKBTitleCode)TC0000631674 035 $a(PQKBWorkID)10592224 035 $a(PQKB)10058126 035 $a(MiAaPQ)EBC731227 035 $a(WSP)00001190 035 $a(Au-PeEL)EBL731227 035 $a(CaPaEBR)ebr10479811 035 $a(CaONFJC)MIL314489 035 $a(EXLCZ)993360000000001401 100 $a20110712d2011 uy 0 101 0 $aeng 135 $aurbn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAdvanced inequalities$b[electronic resource] /$fGeorge A. Anastassiou 210 $aSingapore ;$aHackensack, N.J. $cWorld Scientific Pub. Co.$d2011 215 $a1 online resource (450 p.) 225 1 $aSeries on concrete and applicable mathematics,$x1793-1142 ;$vv. 11 300 $aDescription based upon print version of record. 311 $a981-4317-62-4 320 $aIncludes bibliographical references and index. 327 $aPreface; Contents; 1. Introduction; 2. Advanced Univariate Ostrowski Type Inequalities; 3. Higher Order Ostrowski Inequalities; 4. Multidimensional Euler Identity and Optimal Multidimensional Ostrowski Inequalities; 5. More on Multidimensional Ostrowski Type Inequalities; 6. Ostrowski Inequalities on Euclidean Domains; 7. High Order Ostrowski Inequalities on Euclidean Domains; 8. Ostrowski Inequalities on Spherical Shells; 9. Ostrowski Inequalities on Balls and Shells Via Taylor{Widder Formula; 10. Multivariate Opial Type Inequalities for Functions Vanishing at an Interior Point 327 $a11. General Multivariate Weighted Opial Inequalities 12. Opial Inequalities for Widder Derivatives; 13. Opial Inequalities for Linear Differential Operators; 14. Opial Inequalities for Vector Valued Functions; 15. Opial Inequalities for Semigroups; 16. Opial Inequalities for Cosine and Sine Operator Functions; 17. Poincare Like Inequalities for Linear Differential Operators; 18. Poincare and Sobolev Like Inequalities for Widder Derivatives; 19. Poincare and Sobolev Like Inequalities for Vector Valued Functions; 20. Poincare Type Inequalities for Semigroups, Cosine and Sine Operator Functions 327 $a21. Hardy-Opial Type Inequalities 22. A Basic Sharp Integral Inequality; 23. Estimates of the Remainder in Taylor's Formula; 24. The Distributional Taylor Formula; 25. Chebyshev-Gruss Type Inequalities Using Euler Type and Fink Identities; 26. Gruss Type Multivariate Integral Inequalities; 27. Chebyshev-Gruss Type Inequalities on Spherical Shells and Balls; 28. Multivariate Chebyshev-Gruss and Comparison of Integral Means Inequalities; 29. Multivariate Fink Type Identity Applied to Multivariate Inequalities; Bibliography; List of Symbols; Index 330 $aThis monograph presents univariate and multivariate classical analyses of advanced inequalities. This treatise is a culmination of the author's last thirteen years of research work. The chapters are self-contained and several advanced courses can be taught out of this book. Extensive background and motivations are given in each chapter with a comprehensive list of references given at the end. The topics covered are wide-ranging and diverse. Recent advances on Ostrowski type inequalities, Opial type inequalities, Poincare and Sobolev type inequalities, and Hardy-Opial type inequalities are exam 410 0$aSeries on concrete and applicable mathematics ;$vv. 11. 606 $aInequalities (Mathematics) 608 $aElectronic books. 615 0$aInequalities (Mathematics) 676 $a515.26 700 $aAnastassiou$b George A$060024 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910464238003321 996 $aAdvanced inequalities$91972350 997 $aUNINA LEADER 01848nam1 22003973i 450 001 TO01384006 005 20231121125845.0 100 $a20050419d2005 ||||0itac50 ba 101 | $alat$afre 102 $afr 181 1$6z01$ai $bxxxe 182 1$6z01$an 200 1 $aHistoire ecclesiastique du peuple anglais$fBède le Vénérable 210 $aParis$cLes éditions du Cerf 215 $av.$d20 cm. 225 | $aSources chrétiennes 410 0$1001CFI0081138$12001 $aSources chrétiennes 463 1$1001PAR0865448$12000 $a2: Livres 3.-4.$fBede le Venerable$gintroduction et notes par Andre Crepin$gtexte critique par Michael Lapidge$gtraduction par Pierre Monat et Philippe Robin$v2 463 1$1001TO01384065$12000 $a1: Livres 1.-2.$fBède le Vénérable$gintroduction et notes par André Crépin$gtexte critique par Michael Lapidge$gtraduction par Pierre Monatet Philippe Robin$v1 463 1$1001TO01445866$12000 $a3: Livre 5.$fBede le Venerable$v3 500 10$aHistoria ecclesiastica gentis Anglorum.$3BVEE010933$9CFIV059712$919761 510 1 $aHistoria ecclesiastica gentis Anglorum.$9CFI0683694 700 0$aBeda : Venerabilis$3CFIV059712$4070$0157888 790 0$aBeda$c $3CFIV059713$zBeda : Venerabilis 790 0$aVenerabile Beda$3CFIV156056$zBeda : Venerabilis 790 0$aBède$c $3CFIV206648$zBeda : Venerabilis 790 0$aBède : le Vénérable$3CFIV206649$zBeda : Venerabilis 790 0$aBeda$f $3CFIV282450$zBeda : Venerabilis 790 0$aBeda : il Venerabile$3CFIV289634$zBeda : Venerabilis 801 3$aIT$bIT-01$c20050419 850 $aIT-RM0313 899 $aBIBLIOTECA CASANATENSE$bRM0313 912 $aTO01384006 977 $a 07$a 25$a 52 996 $aHistoria ecclesiastica gentis Anglorum$919761 997 $aUNICAS