Unit:
Κατεύθυνση Εφαρμοσμένα ΜαθηματικάLibrary of the School of Science
Author:
Γεωργίκου Άννα-Ελένη
Supervisors info:
Πούλκου Ανθίππη Επίκ. Καθηγήτρια ΕΚΠΑ
Original Title:
Επέκταση της παρεμβολής Lagrange για πολυώνυμα σε προβλήματα συνοριακών τιμών
Summary:
In this work entitled "Extension of Lagrange interpolation for polynomials to
boundary value problems" we study the relationship of sampling and
interpolation with first order boundary value problems. We mention basic
definitions, notations and theorems of Functional Analysis and we deal with
self-adjoint eigenvalue problems and the generalized G.K.N theory for
differential operators. Then, we study the connection of sampling and boundary
value problems with Lagrange interpolation. We refer to the analytic form of
the Kramer theorem and we make a report of the interpolation results with the
corresponding applications and examples.
Keywords:
Sampling, Interpolation, Operators, Kernel, Kramer
