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Salila Dutta

Publications and source records attributed to Salila Dutta.

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Fractional difference sequence spaces via Pascal mean

The main purpose of this article is to introduce Pascal difference sequence spaces of fractional order $ τ$ over the sequence space $\ell_p$ and $\ell_\infty$. Some topological properties of these spaces are considered here along with the Schauder basis, $α -,β-$ and $γ-$duals of the spaces.

math.FA

A New Modified Newton Method use of Haar wavelet for solving Nonlinear equations

In this paper, we present a new modified Newton method a use of Haar wavelet formula for solving non-linear equations. This new method do not require the use of the second-order derivative. It is shown that the new method has third-order of convergent. Furthermore, some numerical experiments are conducted which confirm our theoretical findings.

math.NA