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  • 1
    Online Resource
    Online Resource
    Integral and finite difference inequalities and applications (2006)
    Amsterdam ; Oxford : Elsevier
    Details
    UID:
    b3kat_BV036962291
    Format: 1 Online-Ressource (x, 309 p.) , 25 cm
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0444527621 , 9780444527622
    Series Statement: North-Holland mathematics studies 205
    Note: Includes bibliographical references and index
    Additional Edition: Reproduktion von Integral and finite difference inequalities and applications 2006
    Language: English
    Subjects: Mathematics
    RVK:
    SK 580
    URL: Volltext
    URL: Volltext  (Deutschlandweit zugänglich)
    URL: Inhaltstext
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  • 2
    Online Resource
    Online Resource
    Mathematical inequalities (2005)
    Amsterdam ; Boston : Elsevier
    Details
    UID:
    b3kat_BV036962237
    Format: 1 Online-Ressource (xi, 591 p.) , 24 cm
    Edition: 1st ed
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0444517952 , 9780444517951
    Series Statement: North-Holland mathematical library 67
    Note: Includes bibliographical references (p. 565-587) and index
    Additional Edition: Reproduktion von Mathematical inequalities 2005
    Language: English
    URL: Volltext
    URL: Volltext  (Deutschlandweit zugänglich)
    URL: Inhaltstext
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  • 3
    Online Resource
    Online Resource
    Inequalities for differential and integral equations (1998)
    San Diego : Academic Press
    Details
    UID:
    b3kat_BV036962208
    Format: 1 Online-Ressource (x, 611 p.) , 24 cm
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0125434308 , 9780125434300
    Series Statement: Mathematics in science and engineering v. 197
    Note: Includes bibliographical references (p. 591-607) and index
    Additional Edition: Reproduktion von Inequalities for differential and integral equations c1998
    Language: English
    Subjects: Mathematics
    RVK:
    SK 490
    RVK:
    SK 640
    Keywords: Integralungleichung
    URL: Volltext
    URL: Volltext  (Deutschlandweit zugänglich)
    URL: Inhaltstext
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  • 4
    Book
    Book
    Multidimensional integral equations and inequalities / (2011)
    Amsterdam [u.a.] :Atlantis Press,
    Details
    UID:
    almahu_BV040963543
    Format: X, 245 S.
    ISBN: 978-94-91216-16-9 , 978-94-91216-17-6
    Series Statement: Atlantis studies in mathematics for engineering and science 9
    Note: Literaturverz.: S. 237 - 242
    Language: English
    Subjects: Mathematics
    RVK:
    SK 490
    Keywords: Integralgleichung
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  • 5
    Book
    Book
    Inequalities for differential and integral equations / (1998)
    San Diego [u.a.] :Acad. Press,
    Details
    UID:
    almahu_BV011944950
    Format: X, 611 S.
    ISBN: 0-12-543430-8
    Series Statement: Mathematics in science and engineering 197
    Language: English
    Subjects: Mathematics
    RVK:
    SK 490
    RVK:
    SK 640
    Keywords: Integralungleichung
    URL: Publisher description
    URL: Table of contents
    URL: Publisher description
    URL: Table of contents
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  • 6
    Book
    Book
    Analytic inequalities : recent advances (2012)
    Amsterdam [u.a.] :Atlantis Press,
    Details
    UID:
    almahu_BV040095784
    Format: X, 303 S.
    ISBN: 978-94-91216-43-5 , 978-94-91216-44-2
    Series Statement: Atlantis studies in mathematics 3
    Language: English
    Subjects: Mathematics
    RVK:
    SK 490
    Keywords: Analysis ; Ungleichung
    URL: Inhaltstext
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  • 7
    Online Resource
    Online Resource
    Inequalities for differential and integral equations / (1998)
    San Diego, CA :Academic Press,
    Details
    UID:
    almahu_9947367044602882
    Format: 1 online resource (621 p.)
    ISBN: 1-281-05435-6 , 9786611054359 , 0-08-053464-3
    Series Statement: Mathematics in science and engineering ; v. 197
    Content: Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course.
    Note: Description based upon print version of record. , Cover; Contents; Preface; Introduction; Chapter 1. Linear Integral Inequalities; 1.1 Introduction; 1.2 The Inequalities of Gronwall and Bellman; 1.3 Some Generalizations of the GronwalI-Bellman Inequality; 1.4 Volterra-Type Integral Inequalities; 1.5 The Inequalities of Gamidov and Rodrigues; 1.6 Simultaneous Inequalities; 1.7 Pachpatte's Inequalities; 1.8 Integro-differential Inequalities; 1.9 Inequalities with Several Iterated Integrals; 1.10 Inequalities Involving Product Integrals; 1.11 Applications; 1.12 Miscellaneous Inequalities; 1.13 Notes; Chapter 2. Nonlinear Integral Inequalities I , 2.1 Introduction2.2 Inequalities Involving Comparison; 2.3 The Inequalities of Bihari and Langenhop; 2.4 Generalizations of GronwalI-Bellman-Bihari Inequalities; 2.5 Inequalities with Volterra-Type Kernels; 2.6 Inequalities with Nonlinearities in the Integral; 2.7 Pachpatte's Inequalities I; 2.8 Pachpatte's Inequalities II; 2.9 Integro-differential Inequalities; 2.10 Inequalities with Iterated Integrals; 2.11 Applications; 2.12 Miscellaneous Inequalities; 2.13 Notes; Chapter 3. Nonlinear Integral Inequalities II; 3.1 Introduction; 3.2 Dragomir's Inequalities; 3.3 Pachpatte's Inequalities I , 3.4 The Inequalities of Ou-lang and Dafermos3.5 Pachpatte's Inequalities II; 3.6 Pachpatte's Inequalities III; 3.7 Pachpatte's Inequalities IV; 3.8 The Inequalities of Haraux and Engler; 3.9 Pachpatte's Inequalities V; 3.10 Inequalities Involving Iterated Integrals; 3.11 Applications; 3.12 Miscellaneous Inequalities; 3.13 Notes; Chapter 4. Multidimensional Linear Integral Inequalities; 4.1 Introduction; 4.2 Wendroff's Inequality; 4.3 Pachpatte's Inequalities I; 4.4 Pachpatte's Inequalities II; 4.5 Pachpatte's Inequalities III; 4.6 Snow's Inequalities , 4.7 Generalizations of Snow's Inequalities4.8 Pachpatte's Inequalities IV; 4.9 Inequalities in Several Variables; 4.10 Young's Inequality and its Generalizations; 4.11 Applications; 4.12 Miscellaneous Inequalities; 4.13 Notes; Chapter 5. Multidimensional Nonlinear Integral Inequalities; 5.1 Introduction; 5.2 Generalizations of Wendroff's Inequality; 5.3 Wendroff-type Inequalities; 5.4 Generalizations of Pachpatte's Inequalities; 5.5 Pachpatte's Inequalities I; 5.6 Pachpatte's Inequalities II; 5.7 Inequalities in Many Independent Variables; 5.8 Pachpatte's Inequalities III , 5.9 Pachpatte's Inequalities IV5.10 Pachpatte's Inequalities V; 5.11 Applications; 5.12 Miscellaneous Inequalities; 5.13 Notes; References; Index , English
    Additional Edition: ISBN 0-12-543430-8
    Language: English
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  • 8
    Online Resource
    Online Resource
    Mathematical inequalities / (2005)
    Amsterdam ; : Elsevier,
    Details
    UID:
    almahu_9947367642502882
    Format: 1 online resource (606 p.)
    Edition: 1st ed.
    ISBN: 1-280-63394-8 , 9786610633944 , 0-08-045939-0
    Series Statement: North-Holland mathematical library, v. 67
    Content: The book addresses many important new developments in the field. All the topics covered are of great interest to the readers because such inequalities have become a major tool in the analysis of various branches of mathematics.* It contains a variety of inequalities which find numerous applications in various branches of mathematics.* It contains many inequalities which have only recently appeared in the literature and cannot yet be found in other books.* It will be a valuable reference for someone requiring a result about inequalities for use in some applications in various o
    Note: Description based upon print version of record. , front cover; copyright; front matter; Preface; table of contents; Introduction; body; 1. Inequalities Involving Convex Functions; 1.1 Introduction; 1.2 Jensen's and Related Inequalities; 1.3 Jessen's and Related Inequalities; 1.4 Some General Inequalities Involving Convex Functions; 1.5 Hadamard's Inequalities; 1.6 Inequalities of Hadamard Type I; 1.7 Inequalities of Hadamard Type II; 1.8 Some Inequalities Involving Concave Functions; 1.9 Miscellaneous Inequalities; 1.10 Notes; 2. Inequalities Related to Hardy's Inequality; 2.1 Introduction , 2.2 Hardy's Series Inequality and Its Generalizations2.3 Series Inequalities Related to Those of Hardy, Copson and Littlewood; 2.4 Hardy's Integral Inequality and Its Generalizations; 2.5 Further Generalizations of Hardy's Integral Inequality; 2.6 Hardy-Type Integral Inequalities; 2.7 Multidimensional Hardy-Type Inequalities; 2.8 Inequalities Similar to Hilbert's Inequality; 2.9 Miscellaneous Inequalities; 2.10 Notes; 3. Opial-Type Inequalities; 3.1 Introduction; 3.2 Opial-Type Integral Inequalities; 3.3 Wirtinger-Opial-Type Integral Inequalities , 3.4 Inequalities Related to Opial's Inequality3.5 General Opial-Type Integral Inequalities; 3.6 Opial-Type Inequalities Involving Higher-Order Derivatives; 3.7 Opial-Type Inequalities in Two and Many Independent Variables; 3.8 Discrete Opial-Type Inequalities; 3.9 Miscellaneous Inequalities; 3.10 Notes; 4. Poincaré- and Sobolev-Type Inequalities; 4.1 Introduction; 4.2 Inequalities of Poincaré, Sobolev and Others; 4.3 Poincaré- and Sobolev-Type Inequalities I; 4.4 Poincaré- and Sobolev-Type Inequalities II; 4.5 Inequalities of Dubinskii and Others; 4.6 Poincaré- and Sobolev-Like Inequalities , 4.7 Some Extensions of Rellich's Inequality4.8 Poincaré- and Sobolev-Type Discrete Inequalities; 4.9 Miscellaneous Inequalities; 4.10 Notes; 5. Levin- and Lyapunov-Type Inequalities; 5.1 Introduction; 5.2 Inequalities of Levin and Others; 5.3 Levin-Type Inequalities; 5.4 Inequalities Related to Lyapunov's Inequality; 5.5 Extensions of Lyapunov's Inequality; 5.6 Lyapunov-Type Inequalities I; 5.7 Lyapunov-Type Inequalities II; 5.8 Lyapunov-Type Inequalities III; 5.9 Miscellaneous Inequalities; 5.10 Notes; back matter; References; Index , English
    Additional Edition: ISBN 0-444-51795-2
    Language: English
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  • 9
    Online Resource
    Online Resource
    Integral and finite difference inequalities and applications / (2006)
    Amsterdam :Elsevier,
    Details
    UID:
    almahu_9949697705502882
    Format: 1 online resource (321 p.)
    Edition: 1st ed.
    ISBN: 1-280-63668-8 , 9786610636686 , 0-08-046479-3
    Series Statement: North-Holland mathematics studies, 205
    Content: The monograph is written with a view to provide basic tools for researchers working in Mathematical Analysis and Applications, concentrating on differential, integral and finite difference equations. It contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools and will be a valuable source for a long time to come. It is self-contained and thus should be useful for those who are interested in learning or applying the inequalities with explicit estimates in their studies.- Contains a variety of inequalities discovered which fin
    Note: Description based upon print version of record. , Front Cover; Table of Contents; Preface; Introduction; Chapter 1. Integral inequalities in one variable; 1.1. Introduction; 1.2. Basic nonlinear integral inequalities; 1.3. More nonlinear integral inequalities; 1.4. Inequalities with iterated integrals; 1.5. Bounds on certain integral inequalities; 1.6. Applications; 1.6.1. Nonlinear integral and differential equations; 1.6.2. Iterated Volterra integral equation; 1.6.3. General Volterra-Fredholm integral equation; 1.6.4. Terminal value problem; 1.7. Notes; Chapter 2. Integral inequalities in two variables; 2.1. Introduction , 2.2. Some nonlinear integral inequalities2.3. Further nonlinear integral inequalities; 2.4. Inequalities involving iterated integrals; 2.5. Estimates on some integral inequalities; 2.6. Applications; 2.6.1. Nonlinear partial differential equation; 2.6.2. Hyperbolic partial differential equations with terminal values; 2.6.3. Non-self-adjoint hyperbolic partial Fredholm integrodifferential equation; 2.6.4. Volterra-Fredholm integral equation; 2.7. Notes; Chapter 3. Retarded integral inequalities; 3.1. Introduction; 3.2. Basic retarded integral inequalities in one variable , 3.3. Further retarded integral inequalities in one variable3.4. Retarded integral inequalities in two variables; 3.5. More retarded integral inequalities in two variables; 3.6. Applications; 3.6.1. Differential equations with many retarded arguments; 3.6.2. Retarded differential and integrodifferential equations; 3.6.3. Retarded partial differential equations in two variables; 3.6.4. Retarded Volterra-Fredholm integral equation in two variables; 3.7. Notes; Chapter 4. Finite difference inequalities in one variable; 4.1. Introduction; 4.2. Fundamental finite difference inequalities , 4.3. Some more finite difference inequalities4.4. Finite difference inequalities with iterated sums; 4.5. Bounds on certain finite difference inequalities; 4.6. Applications; 4.6.1. Perturbed difference equations; 4.6.2. Volterra type difference equations involving iterated sums; 4.6.3. Volterra-Fredholm type sum-difference equations; 4.6.4. Fredholm type sum-difference equations; 4.7. Notes; Chapter 5. Finite difference inequalities in two variables; 5.1. Introduction; 5.2. Some basic finite difference inequalities; 5.3. Further finite difference inequalities , 5.4. Estimates on certain finite difference inequalities I5.5. Estimates on certain finite difference inequalities II; 5.6. Applications; 5.6.1. Partial finite difference equations; 5.6.2. Volterra type sum-difference equation; 5.6.3. Partial finite sum-difference equation; 5.6.4. Sum-difference equations of Volterra-Fredholm type; 5.7. Notes; References; Index , English
    Additional Edition: ISBN 0-444-52762-1
    Language: English
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  • 10
    Book
    Book
    Mathematical inequalities (2005)
    Amsterdam [u.a.] : Elsevier
    Details
    UID:
    gbv_474983757
    Format: XI, 591 S.
    Edition: 1. ed.
    ISBN: 9780444517951 , 0444517952
    Series Statement: North-Holland mathematical library 67
    Note: Includes bibliographical references and index , Literaturverz. S. 565 - 587
    Additional Edition: Online-Ausg. Pachpatte, Baburao G., 1943 - Mathematical inequalities Amsterdam [u.a.] : Elsevier, 2005 ISBN 0444517952
    Additional Edition: ISBN 0080459390
    Additional Edition: ISBN 9780080459394
    Additional Edition: ISBN 9780444517951
    Additional Edition: Erscheint auch als Online-Ausgabe Pachpatte, B. G. Mathematical inequalities Amsterdam : Elsevier, 2005 ISBN 0444517952
    Additional Edition: ISBN 9780444517951
    Language: English
    Keywords: Ungleichung ; Ungleichung ; Analysis
    URL: Inhaltstext
    URL: http://www.loc.gov/catdir/enhancements/fy0619/2004064941-t.html
    URL: http://www.loc.gov/catdir/enhancements/fy0619/2004064941-d.html
    URL: http://www.loc.gov/catdir/enhancements/fy0660/2004064941-d.html
    URL: http://www.loc.gov/catdir/toc/fy0710/2004064941.html
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