University of Basrah Organizes a Scientific Lecture on Taylor Series and Expansion
The College of Education for Pure Sciences organized a scientific lecture on Taylor series and expansion using exponential polynomials.
The lecture, presented by Lecturer Ali Hassan Ali, involved deriving a new extension of the famous Taylor theorem related to linear differential operators with constant coefficients through the use of divided differences with repeated arguments. The distinctive element of the differential operator kernel was described, allowing the creation of an extension of the Taylor theorem using exponential polynomials with integral remainders.
Additionally, new theorems related to the mean value theorem were derived, aimed at being employed in various mathematical applications, including function approximation and estimating errors resulting from iterative and numerical methods.
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