Geodesic
On integral generalization of Lupaş-Jain operators
Filomat, Tome 36 (2022) no. 3, p. 729

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DOI

This paper mainly is a natural continuation of " On Lupaş-Jain Operators " constructed by Başcanbaz-Tunca et al. (Stud. Univ. Babeş-Bolyai Math. 63(4) (2018), 525-537) to approximate integrable functions on [0, ∞). We first present the weighted uniform approximation and provide a quantitative estimate for integral generalization of Lupaş-Jain operators. We also scrutinize the order of approximation in regards to local approximation results in sense of a classical approach, Peetre's K-functional and Lipschitz class. Then, we prove that given operators can be approximated in terms of the Steklov means (Steklov averages). Lastly, a Voronovskaya-type asymptotic theorem is given
DOI : 10.2298/FIL2203729P
Classification : 41A36, 41A35;41A25
Keywords: Lupaş-Jain operators, local approximation, weighted approximation, Voronovskaya type theorem 
Prashantkumar Patel; Murat Bodur. On integral generalization of Lupaş-Jain operators. Filomat, Tome 36 (2022) no. 3, p. 729 . doi: 10.2298/FIL2203729P
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