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On shape parameter α -based approximation properties and q-statistical convergence of Baskakov-Gamma operators

We construct a novel family of summation-integral-type hybrid operators in terms of shape parameter α ∈ [0, 1] in this paper. Basic estimates, rate of convergence, and order of approximation are also studied using the Korovkin theorem and the modulus of smoothness. We investigate the local approxima...

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Main Authors: Chen, Ming Yu, Md Nasiruzzaman, Mursaleen, Mohammad Ayman, Rao, Nadeem, Kilicman, Adem
Format: Article
Published: Hindawi 2022
Online Access:http://psasir.upm.edu.my/id/eprint/102384/
https://www.hindawi.com/journals/jmath/2022/4190732/
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spelling my.upm.eprints.1023842023-06-08T02:13:22Z http://psasir.upm.edu.my/id/eprint/102384/ On shape parameter α -based approximation properties and q-statistical convergence of Baskakov-Gamma operators Chen, Ming Yu Md Nasiruzzaman Mursaleen, Mohammad Ayman Rao, Nadeem Kilicman, Adem We construct a novel family of summation-integral-type hybrid operators in terms of shape parameter α ∈ [0, 1] in this paper. Basic estimates, rate of convergence, and order of approximation are also studied using the Korovkin theorem and the modulus of smoothness. We investigate the local approximation findings for these sequences of positive linear operators utilising Peetre’s K-functional, Lipschitz class, and second-order modulus of smoothness. The approximation results are then obtained in weighted space. Finally, for these operators q-statistical convergence is also investigated. Hindawi 2022-04-30 Article PeerReviewed Chen, Ming Yu and Md Nasiruzzaman and Mursaleen, Mohammad Ayman and Rao, Nadeem and Kilicman, Adem (2022) On shape parameter α -based approximation properties and q-statistical convergence of Baskakov-Gamma operators. Journal of Mathematics, 2022. art. no. 4190732. pp. 1-11. ISSN 2314-4629; ESSN: 2314-4785 https://www.hindawi.com/journals/jmath/2022/4190732/ 10.1155/2022/4190732
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description We construct a novel family of summation-integral-type hybrid operators in terms of shape parameter α ∈ [0, 1] in this paper. Basic estimates, rate of convergence, and order of approximation are also studied using the Korovkin theorem and the modulus of smoothness. We investigate the local approximation findings for these sequences of positive linear operators utilising Peetre’s K-functional, Lipschitz class, and second-order modulus of smoothness. The approximation results are then obtained in weighted space. Finally, for these operators q-statistical convergence is also investigated.
format Article
author Chen, Ming Yu
Md Nasiruzzaman
Mursaleen, Mohammad Ayman
Rao, Nadeem
Kilicman, Adem
spellingShingle Chen, Ming Yu
Md Nasiruzzaman
Mursaleen, Mohammad Ayman
Rao, Nadeem
Kilicman, Adem
On shape parameter α -based approximation properties and q-statistical convergence of Baskakov-Gamma operators
author_facet Chen, Ming Yu
Md Nasiruzzaman
Mursaleen, Mohammad Ayman
Rao, Nadeem
Kilicman, Adem
author_sort Chen, Ming Yu
title On shape parameter α -based approximation properties and q-statistical convergence of Baskakov-Gamma operators
title_short On shape parameter α -based approximation properties and q-statistical convergence of Baskakov-Gamma operators
title_full On shape parameter α -based approximation properties and q-statistical convergence of Baskakov-Gamma operators
title_fullStr On shape parameter α -based approximation properties and q-statistical convergence of Baskakov-Gamma operators
title_full_unstemmed On shape parameter α -based approximation properties and q-statistical convergence of Baskakov-Gamma operators
title_sort on shape parameter α -based approximation properties and q-statistical convergence of baskakov-gamma operators
publisher Hindawi
publishDate 2022
url http://psasir.upm.edu.my/id/eprint/102384/
https://www.hindawi.com/journals/jmath/2022/4190732/
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score 13.211869

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