rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Handbook of Functional Equations
    sub title: Functional Inequalities
  name:
    name part: Rassias, Themistocles M.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 555 p. 19 illus., 7 illus. in color. online resource.
  abstract: 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. .
  table of 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).
  note: edited by Themistocles M. Rassias.
  subject:
    topic: Mathematics
  subject:
    topic: Difference equations
  subject:
    topic: Functional equations
  subject:
    topic: Functional analysis
  subject:
    topic: Special functions
  subject:
    topic: Mathematical optimization
  subject:
    topic: Physics
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mathematics
  subject:
    topic: Difference and Functional Equations
  subject:
    topic: Optimization
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  subject:
    topic: Special Functions
  subject:
    topic: Functional Analysis
  subject:
    topic: Mathematical Methods in Physics
  classification: QA431
  classification: 515.625
  classification: 515.75
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Optimization and Its Applications, 95
  identifier: 9781493912469
  identifier: http://dx.doi.org/10.1007/978-1-4939-1246-9
  record info:
    record creation date: 141118
    record change date: 20151030061328.0
    record identifier: 978-1-4939-1246-9