## On the Quantum Differentiation of Smooth Real-Valued Functions

**Authors:** Kolosov Petro

Calculating the value of $C^{k\in\{1,\infty\}}$ class of smoothness real-valued function's derivative in point of $\mathbb{R}^+$ in radius of convergence of its Taylor polynomial (or series), applying an analog of Newton's binomial theorem and $q$-difference operator. $(P,q)$-power difference introduced in section 5. Additionally, by means of Newton's interpolation formula, the discrete analog of Taylor series, interpolation using $q$-difference and $p,q$-power difference is shown.

**Comments:** 12 pages, 6 figures

**Download:** **PDF**

### Submission history

[v1] 2017-05-01 02:13:42

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