Advertisement
Published in:
2002 | OriginalPaper | Chapter
h-Derivative and h-Integral
Authors : Victor Kac, Pokman Cheung
Published in: Quantum Calculus
Publisher: Springer New York
Included in: Professional Book Archive
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
We have thus far studied only q-calcultus. Now we turn to h-calculus. Firstly, let us recall from Chapter another quantum derivative that is characterized by an additive parameter h, the h-derivative: $$ D_h f(x) = \frac{{f(x + h) - f(x)}} {h}, $$ where h ≠ 0. Let us begin by developing the properties of h-calculus in an analogous way to what we have done for q-calculus, and discuss its applications in subsequent chapters.