On Kantorovich variant of Brass-Stancu operators-Reference-Cited by-同舟云学术

On Kantorovich variant of Brass-Stancu operators

Published:2024-01-01 Issue:1 Volume:57 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Bodur Murat¹,Bostancı Tuğba²,Başcanbaz-Tunca Gülen³

Affiliation:

1. Department of Engineering Basic Sciences, Faculty of Engineering and Natural Sciences, Konya Technical University , Konya , Turkey

2. Basic Sciences Department, Naval Petty-Officer Vocational School, National Defence University , 77720-Altınova , Yalova , Turkey

3. Department of Mathematics, Faculty of Science, Ankara University , Str. Dögol 06100, Beşevler , Ankara , Turkey

Abstract

Abstract In this study, we deal with Kantorovich-type generalization of the Brass-Stancu operators. For the sequence of these operators, we study

L p

{L}^{p}

-convergence and give some upper estimates for the

L p

{L}^{p}

-norm of the approximation error via first-order averaged modulus of smoothness and the first-order

-functional. Moreover, we show that the Kantorovich generalization of each Brass-Stancu operator satisfies variation detracting property and is bounded with respect to the norm of the space of functions of bounded variation on

[ 0 , 1 ]

\left[0,1]

. Finally, we present graphical and numerical examples to compare the convergence of these operators to given functions under different parameters.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/dema-2024-0007/pdf

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