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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)

Label
Handbook of Functional Equations : Functional Inequalities
Title
Handbook of Functional Equations
Title remainder
Functional Inequalities
Statement of responsibility
edited by Themistocles M. Rassias
Contributor
Editor
Subject
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 Hardy-Hilbert and the Gabriel inequality, generalized Hardy-Hilbert type inequalities on multiple weighted Orlicz spaces, half-discrete Hilbert-type inequalities, on affine mappings, on contractive operators, on multiplicative Ostrowski and trapezoid inequalities, Ostrowski type inequalities for the Riemann-Stieltjes integral, means and related functional inequalities, Weighted Gini means, controlled additive relations, Szasz-Mirakyan 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.--
Member of
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)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-1-4939-1246-9
Instantiates
Publication
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 Hardy-Hilbert 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 p-Write Affine (J. Brzdek) -- Multiplicative Ostrowski and Trapezoid Inequalities (P. Cerone, S. Dragomir, E. Kikianty) -- A Survey on Ostrowski Type Inequalities for Riemann-Stieltjes 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 Szasz-Mirakyan Operators (V. Gupta) -- Generalized Hardy-Hilbert 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) -- Sign-Changing 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) -- Half-Discrete Hilbert-Type Inequalities, Operators, and Compositions (B. Yang) -- Some Results Concerning Hardy and Hardy-Type Inequalities (N.B. Zographopoulos)
Control code
978-1-4939-1246-9
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, non-commercial 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
10.1007/978-1-4939-1246-9
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)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-1-4939-1246-9
Publication
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 Hardy-Hilbert 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 p-Write Affine (J. Brzdek) -- Multiplicative Ostrowski and Trapezoid Inequalities (P. Cerone, S. Dragomir, E. Kikianty) -- A Survey on Ostrowski Type Inequalities for Riemann-Stieltjes 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 Szasz-Mirakyan Operators (V. Gupta) -- Generalized Hardy-Hilbert 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) -- Sign-Changing 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) -- Half-Discrete Hilbert-Type Inequalities, Operators, and Compositions (B. Yang) -- Some Results Concerning Hardy and Hardy-Type Inequalities (N.B. Zographopoulos)
Control code
978-1-4939-1246-9
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, non-commercial 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
10.1007/978-1-4939-1246-9
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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