The Resource Handbook of Functional Equations : Functional Inequalities, edited by Themistocles M. Rassias, (electronic resource)
Handbook of Functional Equations : Functional Inequalities, edited by Themistocles M. Rassias, (electronic resource)
Resource Information
The item Handbook of Functional Equations : Functional Inequalities, edited by Themistocles M. Rassias, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Handbook of Functional Equations : Functional Inequalities, edited by Themistocles M. Rassias, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), "There are three reasons for the study of inequalities: practical, theoretical, and aesthetic." On the aesthetic aspects, he said, "As has been pointed out, beauty is in the eye of the beholder. However, it is generally agreed that certain pieces of music, art, or mathematics are beautiful. There is an elegance to inequalities that makes them very attractive." The content of the Handbook focuses mainly on both old and recent developments on approximate homomorphisms, on a relation between the HardyHilbert and the Gabriel inequality, generalized HardyHilbert type inequalities on multiple weighted Orlicz spaces, halfdiscrete Hilberttype inequalities, on affine mappings, on contractive operators, on multiplicative Ostrowski and trapezoid inequalities, Ostrowski type inequalities for the RiemannStieltjes integral, means and related functional inequalities, Weighted Gini means, controlled additive relations, SzaszMirakyan operators, extremal problems in polynomials and entire functions, applications of functional equations to Dirichlet problem for doubly connected domains, nonlinear elliptic problems depending on parameters, on strongly convex functions, as well as applications to some new algorithms for solving general equilibrium problems, inequalities for the Fisher's information measures, financial networks, mathematical models of mechanical fields in media with inclusions and holes.
 Language
 eng
 Extent
 XI, 555 pages : 19 illustrations : 7 illustrations in color ;
 Contents

 On a Relation Between the HardyHilbert and the Gabriel Inequality (V. Adiyasunen, T. Batbold)
 Mathematical Models of Mechanical Fields in Media with Inclusions and Holes (M. Bryla, A.V. Krupoderov, A.A. Kushunin, V. Mityushev)
 A Note on the Functions that are Approximately pWrite Affine (J. Brzdek)
 Multiplicative Ostrowski and Trapezoid Inequalities (P. Cerone, S. Dragomir, E. Kikianty)
 A Survey on Ostrowski Type Inequalities for RiemannStieltjes Integral (W.S. Cheung, S.S. Dragomir)
 Invariance in the Family of Weighted Gini Means (I. Costin, G. Toader)
 Functional Inequalities and Analysis of Contagion in the Financial Networks (P. Daniele, S. Giuffe, k M. Lorino, A. Maugeri, C. Mirabella)
 Comparisons of Means and Related Functional Inequalities (W. Fechner)
 Constructions and Extensions of Free and Controlled Additive Relations (T. Glavosits, A. Szaz)
 Extremal Problems in Polynomials and Entire Functions (N.K. Govil, Q. M. Tariq)
 On Approximation Properties of SzaszMirakyan Operators (V. Gupta)
 Generalized HardyHilbert Type Inequalities on Multiple Weighted Orlicz Spaces (K. Jichang)
 Inequalities for the Fisher's Information Measures (C.P. Kitsos, T.L. Toulias)
 Applications of Functional Equations to Dirichlet Problem for Double Connected Domains (V. Mityushev)
 SignChanging Solutions for Nonlinear Elliptic Problems Depending on Parameters (D. Motreanu, V.V. Motreanu)
 On Strongly Convex Functions and Related Classes of Functions (K. Nikodem)
 Some New Algorithms for Solving General Equilibrium Problems (M.A. Noor, Th.M. Rassias)
 Contractive Operators in Relational Metric Spaces (M. Turinici)
 HalfDiscrete HilbertType Inequalities, Operators, and Compositions (B. Yang)
 Some Results Concerning Hardy and HardyType Inequalities (N.B. Zographopoulos)
 Isbn
 9781493912469
 Label
 Handbook of Functional Equations : Functional Inequalities
 Title
 Handbook of Functional Equations
 Title remainder
 Functional Inequalities
 Statement of responsibility
 edited by Themistocles M. Rassias
 Language
 eng
 Summary
 As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), "There are three reasons for the study of inequalities: practical, theoretical, and aesthetic." On the aesthetic aspects, he said, "As has been pointed out, beauty is in the eye of the beholder. However, it is generally agreed that certain pieces of music, art, or mathematics are beautiful. There is an elegance to inequalities that makes them very attractive." The content of the Handbook focuses mainly on both old and recent developments on approximate homomorphisms, on a relation between the HardyHilbert and the Gabriel inequality, generalized HardyHilbert type inequalities on multiple weighted Orlicz spaces, halfdiscrete Hilberttype inequalities, on affine mappings, on contractive operators, on multiplicative Ostrowski and trapezoid inequalities, Ostrowski type inequalities for the RiemannStieltjes integral, means and related functional inequalities, Weighted Gini means, controlled additive relations, SzaszMirakyan operators, extremal problems in polynomials and entire functions, applications of functional equations to Dirichlet problem for doubly connected domains, nonlinear elliptic problems depending on parameters, on strongly convex functions, as well as applications to some new algorithms for solving general equilibrium problems, inequalities for the Fisher's information measures, financial networks, mathematical models of mechanical fields in media with inclusions and holes.
 Assigning source
 Provided by Publisher
 Image bit depth
 0
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Rassias, Themistocles M.
 SpringerLink (Online service)
 Series statement
 Springer Optimization and Its Applications,
 Series volume
 95
 http://library.link/vocab/subjectName

 Mathematics
 Difference equations
 Functional equations
 Functional analysis
 Special functions
 Mathematical optimization
 Physics
 Applied mathematics
 Engineering mathematics
 Label
 Handbook of Functional Equations : Functional Inequalities, edited by Themistocles M. Rassias, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 On a Relation Between the HardyHilbert and the Gabriel Inequality (V. Adiyasunen, T. Batbold)  Mathematical Models of Mechanical Fields in Media with Inclusions and Holes (M. Bryla, A.V. Krupoderov, A.A. Kushunin, V. Mityushev)  A Note on the Functions that are Approximately pWrite Affine (J. Brzdek)  Multiplicative Ostrowski and Trapezoid Inequalities (P. Cerone, S. Dragomir, E. Kikianty)  A Survey on Ostrowski Type Inequalities for RiemannStieltjes Integral (W.S. Cheung, S.S. Dragomir)  Invariance in the Family of Weighted Gini Means (I. Costin, G. Toader)  Functional Inequalities and Analysis of Contagion in the Financial Networks (P. Daniele, S. Giuffe, k M. Lorino, A. Maugeri, C. Mirabella)  Comparisons of Means and Related Functional Inequalities (W. Fechner)  Constructions and Extensions of Free and Controlled Additive Relations (T. Glavosits, A. Szaz)  Extremal Problems in Polynomials and Entire Functions (N.K. Govil, Q. M. Tariq)  On Approximation Properties of SzaszMirakyan Operators (V. Gupta)  Generalized HardyHilbert Type Inequalities on Multiple Weighted Orlicz Spaces (K. Jichang)  Inequalities for the Fisher's Information Measures (C.P. Kitsos, T.L. Toulias)  Applications of Functional Equations to Dirichlet Problem for Double Connected Domains (V. Mityushev)  SignChanging Solutions for Nonlinear Elliptic Problems Depending on Parameters (D. Motreanu, V.V. Motreanu)  On Strongly Convex Functions and Related Classes of Functions (K. Nikodem)  Some New Algorithms for Solving General Equilibrium Problems (M.A. Noor, Th.M. Rassias)  Contractive Operators in Relational Metric Spaces (M. Turinici)  HalfDiscrete HilbertType Inequalities, Operators, and Compositions (B. Yang)  Some Results Concerning Hardy and HardyType Inequalities (N.B. Zographopoulos)
 Control code
 9781493912469
 Dimensions
 unknown
 Extent
 XI, 555 pages : 19 illustrations : 7 illustrations in color ;
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9781493912469
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9781493912469
 Other physical details
 1 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086460362
 Label
 Handbook of Functional Equations : Functional Inequalities, edited by Themistocles M. Rassias, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 On a Relation Between the HardyHilbert and the Gabriel Inequality (V. Adiyasunen, T. Batbold)  Mathematical Models of Mechanical Fields in Media with Inclusions and Holes (M. Bryla, A.V. Krupoderov, A.A. Kushunin, V. Mityushev)  A Note on the Functions that are Approximately pWrite Affine (J. Brzdek)  Multiplicative Ostrowski and Trapezoid Inequalities (P. Cerone, S. Dragomir, E. Kikianty)  A Survey on Ostrowski Type Inequalities for RiemannStieltjes Integral (W.S. Cheung, S.S. Dragomir)  Invariance in the Family of Weighted Gini Means (I. Costin, G. Toader)  Functional Inequalities and Analysis of Contagion in the Financial Networks (P. Daniele, S. Giuffe, k M. Lorino, A. Maugeri, C. Mirabella)  Comparisons of Means and Related Functional Inequalities (W. Fechner)  Constructions and Extensions of Free and Controlled Additive Relations (T. Glavosits, A. Szaz)  Extremal Problems in Polynomials and Entire Functions (N.K. Govil, Q. M. Tariq)  On Approximation Properties of SzaszMirakyan Operators (V. Gupta)  Generalized HardyHilbert Type Inequalities on Multiple Weighted Orlicz Spaces (K. Jichang)  Inequalities for the Fisher's Information Measures (C.P. Kitsos, T.L. Toulias)  Applications of Functional Equations to Dirichlet Problem for Double Connected Domains (V. Mityushev)  SignChanging Solutions for Nonlinear Elliptic Problems Depending on Parameters (D. Motreanu, V.V. Motreanu)  On Strongly Convex Functions and Related Classes of Functions (K. Nikodem)  Some New Algorithms for Solving General Equilibrium Problems (M.A. Noor, Th.M. Rassias)  Contractive Operators in Relational Metric Spaces (M. Turinici)  HalfDiscrete HilbertType Inequalities, Operators, and Compositions (B. Yang)  Some Results Concerning Hardy and HardyType Inequalities (N.B. Zographopoulos)
 Control code
 9781493912469
 Dimensions
 unknown
 Extent
 XI, 555 pages : 19 illustrations : 7 illustrations in color ;
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9781493912469
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9781493912469
 Other physical details
 1 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086460362
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