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: Approximation Theory and Analytic Inequalities
  name:
    name part: Rassias, Themistocles M.
    role:
      role term: editor.
    role:
      role term: edt
    role:
      role term: http://id.loc.gov/vocabulary/relators/edt
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 2021
    edition: 1st ed. 2021.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (XII, 546 pages 18 illustrations, 15 illustrations in color.)
  abstract: This contributed volume focuses on various important areas of mathematics in which approximation methods play an essential role. It features cutting-edge research on a wide spectrum of analytic inequalities with emphasis on differential and integral inequalities in the spirit of functional analysis, operator theory, nonlinear analysis, variational calculus, featuring a plethora of applications, making this work a valuable resource. The reader will be exposed to convexity theory, polynomial inequalities, extremal problems, prediction theory, fixed point theory for operators, PDEs, fractional integral inequalities, multidimensional numerical integration, Gauss-Jacobi and Hermite-Hadamard type inequalities, Hilbert-type inequalities, and Ulam's stability of functional equations. Contributions have been written by eminent researchers, providing up-to-date information and several results which may be useful to a wide readership including graduate students and researchers working in mathematics, physics, economics, operational research, and their interconnections.
  table of contents: Harmonic Hermite-Hadamard inequalities involving Mittag-Leffler function (Aslam Noor) -- Two dimensional Trapezium inequalities via pq-convex functions (Aslam Noor) -- New k-conformable fractional integral inequalities (Uzair Awan) -- On The Hyers-Ulam-Rassias Approximately Ternary Cubic Higher Derivations (Kenary) -- Hyers-Ulam stability for differential equations and partial differential equations via Gronwall Lemma (Mariana) -- On b-metric spaces and Brower and Schauder fixed point principles (Czerwik) -- Deterministic Prediction Theory (Daras) -- Accurate Approximations of the weighted exponential Beta function (Sever Dragomir) -- On the multiplicity of the zeros of polynomials with constrained coefficients (Erdelyi) -- Generalized barycentric coordinates and sharp strongly negative definite multidimensional numerical integration (Guessab) -- Further results on continuous random variables via fractional integrals (Agarwal) -- Nonunique fixed points on partial metric spaces via control functions (Karapınar) -- Some new refinement of Gauss-Jacobi and Hermite-Hadamard type integral inequalities (Kashuri) -- New trapezium type inequalities for preinvex functions via generalized fractional integral operators and their applications (Kashuri) -- New Trapezoid Type Inequalities for Generalized Exponentially Strongly Convex Functions (Jichang) -- Additive-quadratic ρ-functional equations in β-homogeneous normed spaces (Park) -- Stability of bi-additive s-functional inequalities and quasi-multipliers (Park) -- On the stability of some functional equations and s-functional inequalities (Najati) -- Stability of the Cosine-Sine functional equation on amenable groups (Elhoucien) -- Introduction to Halanay lemma, via weakly Picard operator theory (Petrusel) -- An inequality related to Möbius transformations (Suksumran) -- On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Hyperbolic Tangent Function and Parameters (Rassias) -- Analysis of Apostol-type numbe…
  note: edited by Themistocles M. Rassias.
  subject:
    topic: Mathematical optimization
  subject:
    topic: Approximation theory
  subject:
    topic: Difference equations
  subject:
    topic: Functional equations
  subject:
    topic: Optimization
  subject:
    topic: Approximations and Expansions
  subject:
    topic: Difference and Functional Equations
  classification: QA402.5-402.6
  classification: 519.6
  related item:
    title info:
      title: Springer Nature eBook
  identifier: 9783030606220
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record creation date: 210720
    record change date: 20240805182147.2
    record identifier: in00004390804