# Iterates of Cheney-Sharma type operators on a triangle with curved side

## Abstract

We consider some Cheney-Sharma type operators as well as their product and Boolean sum for a function defined on a triangle with one curved side.

Using the weakly Picard operators technique and the contraction principle, we study the convergence of the iterates of these operators.

## Authors

Teodora Cătinaș
Babes-Bolyai University, Cluj Napoca, Romania

Diana Otrocol
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy
Technical University of Cluj Napoca, Romania

## Keywords

Triangle with curved side; Cheney-Sharma operators; contraction principle; weakly Picard operators

### References

See the expanding block below.

## Paper coordinates

T. Cătinaș, D. Otrocol, Iterates of Cheney-Sharma type operators on a triangle with curved side, Journal Computational Analysis and Applications, 28 (2020) no. 4,  pp. 737-744.

## PDF

##### Journal

Journal Computational Analysis and Applications

##### Publisher Name

Eudoxus Press, LLC ?

1521-1398