Abstract
. In this paper, we explore N-dimensional nonlinear discrete operators, closely related to generalized sampling series. We investigate their approximation properties by using the supremum norm and employ a summability method to generalize the discrete operators. The order of convergence is studied by using suitable Lipschitz classes of uniformly continuous functions. We exemplify kernel functions that meet the necessary conditions. Additionally, in the final section of the paper, we propose an operator-based method for digital image zooming.
| Original language | English |
|---|---|
| Pages (from-to) | 1134-1152 |
| Number of pages | 19 |
| Journal | Communications Faculty of Sciences University of Ankara-series A1 Mathematics and Statistics |
| Volume | 73 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2024 |
Keywords
- . Nonlinear operators
- Digital image processing
- Discrete operators
- Order of conver- gence
- Sampling type operators
- Summability process
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