# Functional Analysis, Approximation Theory and Numerical Analysis

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

**Session:** **Orthogonal Polynomials, Interpolation and Numerical Integration**

Orthogonal Polynomials and Interpolation are in the hard core of
Approximation Theory, which is the basis for
the development of numerical
methods used in the solution of applied problems, such as the approximate
calculation of
(definite) integrals. The session will connect the
background theory, Orthogonal Polynomials and Interpolation, with
the
practical application, Numerical Integration.

**Organizers:**

- Sotiris Notaris,
*notaris@math.uoa.gr*
- Miodrag Spalević,
*mspalevic@mas.bg.ac.rs*
- Marija Stanić,
*stanicm@kg.ac.rs*

**Talks:**

- D. Chicoń,
*Christoffel-Darboux
formula for orthogonal polynomials in several real variables*
- E. Denich,
*Gaussian rule for integrals involving Bessel
functions*
- E. Djukić,
*Internality of averaged Gaussian quadrature rules
for modified Jacobi measures*
- G. Elefante,
*An iterative approach for a trigonometric Hermite
interpolant*
- E. Jandrlić,
*Error Estimates for Certain Quadrature Formulae*
- D. Micláus,
*Some new results concerning the classical Bernstein
cubature formula*
- R.M. Mutavdzic Djukic,
*Weighted averaged Gaussian quadrature rules for
modified Chebyshev measure*
- S.E. Notaris,
*Anti-Gaussian quadrature formulae of Chebyshev
type*
- A. Pejcev,
*On the Gauss-Kronrod quadrature formula for a
modified weight function of Chebyshev type*
- J.-C. Santos-Léon,
*Spectral factorization of Laurent polynomials by
means of quadrature formulas on the unit circle*
- M.P. Stanić,
*Optimal sets of quadrature rules in the Borges'
sense for trigonometric polynomials*
- J. Tomanović,
*Incorporating the external zeros of the integrand
into certain quadrature rules*