Backward Differences:
The differences y1 − y0, y2 − y1, ..., yn − yn−1 when denoted by y1, y2, ..., yn respectively, are called the first backward differences. Here, (read as Nabla) is backward differences operator. Thus we have;
Backward Difference Table:
Central Differences:
The differences y1 − y0, y2 − y1, ..., yn − yn−1 when denoted by δ y1/2, δ y3/2, ..., δ y(2n−1)/2 respectively, are called the central differences. Here, d is called as central difference operator. Thus we have,
Central Difference Table: