Mathematical Analysis, Approximation Theory and Their Applications -

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Résumé :
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 Sz?sz 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-Pad? 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....

Biographie:
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Sommaire:
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 Sz?sz 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-Pad? 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....