This book presents an in-depth study on advances in constructive
approximation theory with recent problems on linear positive operators.
State-of-the-art research in constructive approximation is treated with
extensions to approximation results on linear positive operators in a
post quantum and bivariate setting. Methods, techniques, and problems in
approximation theory are demonstrated with applications to optimization,
physics, and biology. Graduate students, research scientists and
engineers working in mathematics, physics, and industry will broaden
their understanding of operators essential to pure and applied
mathematics.
Topics discussed include: discrete operators, quantitative estimates,
post-quantum calculus, integral operators, univariate Gruss-type
inequalities for positive linear operators, bivariate operators of
discrete and integral type, convergence of GBS operators.