# Functional Analysis, Approximation Theory and Numerical Analysis

## Matera, Italy, July 5-8, 2022

**Session:** **Positive Approximation Processes and Applications**

This session aims to cover recent progresses in approximation of functions by positive
linear operators in both finite and infinite-dimensional settings.
Applications and connections with other fields are welcome, in particular with semigroup theory
and evolution problems.

**Organizers:**

- Octavian Agratini,
*o.agratini@yahoo.com*
- Elena Berdysheva,
*elena.berdysheva@uct.ac.za*
- Michele Campiti,
*michele.campiti@unisalento.it*

**Talks:**

- A.-M. Acu,
*Poisson approximation to the binomial distribution:
extensions to the convergence of positive operators*
- O. Agratini,
*On Wachnicki operators*
- V. Babenko,
*On optimal recovery problems
in semi-linear metric spaces*
- E.E. Berdysheva,
*Metric Fourier approximation of
set-valued functions of bounded variation*
- M. Campiti,
*Korovkin approximation of set-valued functions*
- D. Cárdenas-Morales,
*
On direct inequalities for the classical Bernstein and Szász-Mirakyan operators*
- P. Garrancho,
*Linear operators approximating discontinous
functions. A probabilistic approach*
- M. Heilmann,
*Voronovskaja type results for the Aldaz, Kounchev,
Render modification of Baskakov type operators*
- T. Kilgore,
*The weighted Weierstrass Theorem for continuous
functions defined on [0,+\infty) or on (-\infty,\infty), proved
using Bernstein-Chlodovski operators*
- A. Malina,
*Iterative Shepard operator of least squares
thin-plate spline type*
- F.J. Martinez-Sáncez,
*
Some results in approximation theory by means of linear operators and generalized convergence*
- R. Paltanea,
*On the Convergence of Series of Powers of Linear
Positive operators*
- A. Ratiu,
*New refinements of some inequalities*
- B.I. Vasian,
*On Approximation Properties of some non-positive
Bernstein-Durrmeyer Type Operators*