Numerical Analysis:
Orthogonal Polynomials and Special Functions,
Integral
transforms,
Analytic expansions,
Inequalities and error
analysis,
Weighted quadrature rules and their numerical
improvement,
New models of interpolation formulas using linear
operators,
New models of series expansion using linear
operators,
New models of splines.
FURTHER RESEARCH WORKS:
A unified
error bound for all Newton-Cotes quadrature formulas.
A unified
error bound for all weighted quadrature formulas.
A stochastic
model for predicting.
New
interpolation formulas and their application in functions
approximation.
New series
and expansions using linear operators their applications.
New types of
weighted quadrature rules.
A
generalization of the Laplace and Fourier transforms and
computation of their explicit inverse transforms.
A
generalization of Taylor series expansion and its applications
in numerical analysis.
New classes
of symmetric orthogonal functions.
Generalizing
Sturm-Liouville Problems with symmetric solutions in discrete
spaces.
