Plenary
Lecture
Degree of Approximation of Certain Classes of Functions
by Positive Linear Operators
Professor Syed Huzoorul Hasnain Khan
Department of Mathematics
Amu Aligarh, India
Email:
huzoorkhan@yahoo.com
Abstract: "Each continuous
function is approximable by
algebraic polynomials". The most
constructive proof of the above
theorem concerning the
approximation of continuous
functions on a compact interval by
polynomials, we use some sequence
of positive linear operators. It
can be mentioned that the more
usual tools of Analysis like the
Taylors's polynomials and
Lagrange's interpolation are not
appropriate to the problem of
Uniform Approximation of
continuous functions. The degree
of approximation of positive
linear operators by certain
classes of functions is considered
as the classical problem. The main
purpose of the talk is to discuss
the problem for the degree of
approximation of certain classes
of functions using Summability
sums as the positive linear
operators.
Brief Biography of the Speaker:
Prof. Syed Huzoorul Hasnain Khan
is a Professor of Mathematics,
Department of Mathematics AMU
Aligarh India since 1998. Prof.
Khan has thirty six years of
teaching and research experience
and successfully guided students
for Ph.D. He has published twenty
six research papers in various
Journals of International repute
and is the author of eight books
for undergraduate as well as
postgraduate programs which are
recommended as text books in many
Indian Universities. He is the
reviewer for Mathematical Reviews
and Zentrablatt fur Mathematik und
ihre Grenzgebrete. Life member of
many Mathematical Societies in
India and abroad, President Asian
Mathematical Ecological Society (
ICTP, ITALY 19961999) and the
Chairman Department of Mathematics
AMU Aligarh India (20062009).
