LEADER 04110nam  2200613 a 450 
001 9910820494203321
005 20240516083427.0
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 /$fGeorge A. Anastassiou
205   $a1st ed.
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   $aInequalities (Mathematics)
615  0$aInequalities (Mathematics)
676   $a515.26
700   $aAnastassiou$b George A$060024
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910820494203321
996   $aAdvanced inequalities$93992459
997   $aUNINA