1 citations · 1 across the 6 of their papers we have counts for
6 papers
Generalization of Ramanujan Method of Approximating root of an equation
Ramesh Kumar Muthumalai
We generalize Ramanujan method of approximating the smallest root of an equation which is found in Ramanujan Note books, Part-I. We provide simple analytical proof to study converg…
Square-free Integers and Infinite products
Ramesh Kumar Muthumalai
We study few properties of square-free integers in certain equations. Using this property, we derive some infinite products in powers of square free numbers. Also, we present a met…
On some definite integrals connecting with certain infinite series
Ramesh Kumar Muthumalai
We show some definite integrals connecting to infinite series, studied in Ramanujan's paper, titled "On question 330 of Professor Sanjana". We present few recursive methods to eval…
On Osculating Interpolation
Ramesh kumar muthumalai
The development of high-degree interpolation polynomials which use the values of the function and its subsequent derivatives is reformulated. Also, we present a variant of new form…
New Iterative Methods for Interpolation, Numerical Differentiation and Numerical Integration
Ramesh Kumar Muthumalai
Through introducing a new iterative formula for divided differnce using Neville's and Aitken's algorithms,we study new iterative methods for interpolation,numerical differentiation…
New Formulas and Methods for Interpolation, Numerical Differentiation and Numerical Integration
Ramesh kumar Muthumalai
We present a new formula for divided difference and few new schemes of divided difference tables in this paper. Through this, we derive new interpolation, numerical differentiation…