NONLINEAR APPROXIMATION BY N-DIMENSIONAL SAMPLING TYPE DISCRETE OPERATORS WITH APPLICATIONS

被引：0
作者：
Aslan, Ismail [1 ]
机构：
[1] Hacettepe Univ, Dept Math, Ankara, Turkiye
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2024年 / 73卷 / 04期
关键词：
Nonlinear operators; discrete operators; sampling type operators; order of conver- gence; summability process; digital image processing; CONVERGENCE; SUMMABILITY; PREDICTION;
D O I：
10.31801/cfsuasmas.1503136
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
. 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.
引用
收藏
页码：1134 / 1152
页数：19
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