Mathematical Analysis, Approximation Theory and Their Applications

Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive oper...

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Bibliographic Details
Other Authors: Rassias, Themistocles M. (Editor), Gupta, Vijay (Editor)
Format: eBook
Published: Cham Springer International Publishing 2016, 2016
Edition:1st ed. 2016
Series:Springer Optimization and Its Applications
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • A brief history of the Favard operator and its variants
  • Bivariate extension of linear positive operators
  • Positive Green’s Functions for Boundary Value Problems with Conformable Derivatives
  • The retraction-displacement condition in the theory of fixed point equation with a convergent iterative algorithm
  • An adaptive finite element method for solving a free boundary problem with periodic boundary conditions in lubrication theory
  • Evolution solutions of equilibrium problems - a computational approach
  • Cantor, Banach and Baire theorems in generalized metric spaces
  • A Survey of Perturbed Ostrowski Type Inequalities
  • Hyers-Ulam-Rassias stability of the generalized Wilson’s functional equation
  • Approximation under Exponential Growth Conditions by Szász and Baskakov Type Operators in the Complex Plane
  • On the asymptotic behavior of sequences of positive linear approximation operators
  • Approximation of functions by additive and by quadratic mappings
  • Bernstein Type Inequalities concerning Growth of Polynomials
  • Approximation for generalization of Baskakov-Durrmeyer operators
  • A Tour on p (x)-Laplacian Problems When p = ∞
  • An umbral calculus approach to Bernoulli-Padé polynomials
  • Hadamard Matrices: Insights into their growth factor and determinant computations
  • Localized summability kernels for Jacobi expansions
  • Quadrature rules with multiple nodes
  • A -summability of sequences of linear conservative operators
  • Simultaneous Weighted Approximation with Multivariate Baskakov-Schurer Operators
  • Approximation of Discontinuous Functions by q-Bernstein Polynomials
  • Nests, and their Role in the Orderability Problem
  • Resolvent Operators for Some Classes of Integro-Differential Equations
  • Component Matrices of a Square Matrix and their Properties
  • Solutions of Some Types of Differential Equations and of Their Associated Physical Problems by Means of Inverse Differential Operators
  • A modified pointwise estimate on simultaneous approximation byBernstein polynomials
  • Structural Fixed Point Results in Metric Spaces
  • Models of Fuzzy Linear Regression: An Application in Engineering
  • Properties of Functions of generalized bounded variations