TY  - JOUR
TI  - Multivariate approximation in φ-variation for nonlinear integral operators via
summability methods
AB  - We consider convolution-type nonlinear integral operators endowed with Musielak-Orlicz φ-variation. Our aim is to get more powerful approximation results with the help of summability methods. In this study, we use φabsolutely continuous functions for our convergence results. Moreover, we study the order of approximation using suitable Lipschitz class of continuous functions. A general characterization theorem for φ-absolutely continuous functions is also obtained. We also give some examples of kernels in order to verify our approximations. At the end, we indicate our approximations in figures together with some numerical computations.
AU  - ASLAN, ISMAIL
DO  - 10.3906/mat-2109-77
PY  - 2022
JO  - Turkish Journal of Mathematics
VL  - 46
IS  - 1
SN  - 1300-0098
SP  - 277
EP  - 298
DB  - TRDizin
UR  - http://search/yayin/detay/534408
ER  -