Mathematical Analysis, Approximation Theory and Their Applications (eBook)

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 by Bernstein
polynomials.- Structural Fixed Point Results in Metric Spaces.- Models of Fuzzy
Linear Regression: An Application in Engineering.- Properties of Functions of
generalized bounded variations.