Some Approximation Results on Durrmeyer Modification of Generalized Szász–Mirakjan Operators

Rishikesh Yadav; Ramakanta Meher; Vishnu Narayan Mishra

doi:10.1007/978-981-19-0179-9_9

Some Approximation Results on Durrmeyer Modification of Generalized Szász–Mirakjan Operators

Rishikesh Yadav, Ramakanta Meher, Vishnu Narayan Mishra

Namur Institute for Complex Systems

Résultats de recherche: Contribution dans un livre/un catalogue/un rapport/dans les actes d'une conférence › Article dans les actes d'une conférence/un colloque

Résumé

This paper deals with the approximation properties of the summation-integral type operators defined by Mishra et al. (Boll Unione Mat Ital 8:297–305, 2016). It consists of the local results and convergence theorem of the defined operators. Here, we discuss the asymptotic behaviour of the operators and the quantitative means of Voronovskaja type theorem is obtained. In this direction, we determine the Grüss Voronovskaya type theorem. Graphical representation is given to support the approximation results of the operators and, at last, conclusions are given.

langue originale	Anglais
titre	Advances in Mathematical Modelling, Applied Analysis and Computation - Proceedings of ICMMAAC 2021
rédacteurs en chef	Jagdev Singh, George A. Anastassiou, Dumitru Baleanu, Carlo Cattani, Devendra Kumar
Editeur	Springer Science and Business Media Deutschland GmbH
Pages	169-179
Nombre de pages	11
ISBN (imprimé)	9789811901782
Les DOIs	https://doi.org/10.1007/978-981-19-0179-9_9
Etat de la publication	Publié - 2023
Evénement	4th International Conference on Mathematical Modelling, Applied Analysis and Computation, ICMMAAC 2021 - Jaipur, Inde Durée: 5 août 2021 → 7 août 2021

Série de publications

Nom	Lecture Notes in Networks and Systems
Volume	415
ISSN (imprimé)	2367-3370
ISSN (Electronique)	2367-3389

Une conférence

Une conférence	4th International Conference on Mathematical Modelling, Applied Analysis and Computation, ICMMAAC 2021
Pays/Territoire	Inde
La ville	Jaipur
période	5/08/21 → 7/08/21

Accès au document

10.1007/978-981-19-0179-9_9

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Yadav, R., Meher, R., & Mishra, V. N. (2023). Some Approximation Results on Durrmeyer Modification of Generalized Szász–Mirakjan Operators. Dans J. Singh, G. A. Anastassiou, D. Baleanu, C. Cattani, & D. Kumar (eds.), Advances in Mathematical Modelling, Applied Analysis and Computation - Proceedings of ICMMAAC 2021 (p. 169-179). Article 10.1007/978-981-19-0179-9_9 (Lecture Notes in Networks and Systems; Vol 415). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-981-19-0179-9_9

Yadav, Rishikesh ; Meher, Ramakanta ; Mishra, Vishnu Narayan. / Some Approximation Results on Durrmeyer Modification of Generalized Szász–Mirakjan Operators. Advances in Mathematical Modelling, Applied Analysis and Computation - Proceedings of ICMMAAC 2021. Editeur / Jagdev Singh ; George A. Anastassiou ; Dumitru Baleanu ; Carlo Cattani ; Devendra Kumar. Springer Science and Business Media Deutschland GmbH, 2023. p. 169-179 (Lecture Notes in Networks and Systems).

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abstract = "This paper deals with the approximation properties of the summation-integral type operators defined by Mishra et al. (Boll Unione Mat Ital 8:297–305, 2016). It consists of the local results and convergence theorem of the defined operators. Here, we discuss the asymptotic behaviour of the operators and the quantitative means of Voronovskaja type theorem is obtained. In this direction, we determine the Gr{\"u}ss Voronovskaya type theorem. Graphical representation is given to support the approximation results of the operators and, at last, conclusions are given.",

keywords = "Lipschitz space, Rate of convergence, Sz{\'a}sz–Mirakjan operators, Voronovskaya type theorem",

author = "Rishikesh Yadav and Ramakanta Meher and Mishra, {Vishnu Narayan}",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.; 4th International Conference on Mathematical Modelling, Applied Analysis and Computation, ICMMAAC 2021 ; Conference date: 05-08-2021 Through 07-08-2021",

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doi = "10.1007/978-981-19-0179-9_9",

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Yadav, R, Meher, R & Mishra, VN 2023, Some Approximation Results on Durrmeyer Modification of Generalized Szász–Mirakjan Operators. Dans J Singh, GA Anastassiou, D Baleanu, C Cattani & D Kumar (eds), Advances in Mathematical Modelling, Applied Analysis and Computation - Proceedings of ICMMAAC 2021., 10.1007/978-981-19-0179-9_9, Lecture Notes in Networks and Systems, VOL. 415, Springer Science and Business Media Deutschland GmbH, p. 169-179, 4th International Conference on Mathematical Modelling, Applied Analysis and Computation, ICMMAAC 2021, Jaipur, Inde, 5/08/21. https://doi.org/10.1007/978-981-19-0179-9_9

Some Approximation Results on Durrmeyer Modification of Generalized Szász–Mirakjan Operators. / Yadav, Rishikesh; Meher, Ramakanta; Mishra, Vishnu Narayan.
Advances in Mathematical Modelling, Applied Analysis and Computation - Proceedings of ICMMAAC 2021. Ed. / Jagdev Singh; George A. Anastassiou; Dumitru Baleanu; Carlo Cattani; Devendra Kumar. Springer Science and Business Media Deutschland GmbH, 2023. p. 169-179 10.1007/978-981-19-0179-9_9 (Lecture Notes in Networks and Systems; Vol 415).

Résultats de recherche: Contribution dans un livre/un catalogue/un rapport/dans les actes d'une conférence › Article dans les actes d'une conférence/un colloque

TY - GEN

T1 - Some Approximation Results on Durrmeyer Modification of Generalized Szász–Mirakjan Operators

AU - Yadav, Rishikesh

AU - Meher, Ramakanta

AU - Mishra, Vishnu Narayan

PY - 2023

Y1 - 2023

N2 - This paper deals with the approximation properties of the summation-integral type operators defined by Mishra et al. (Boll Unione Mat Ital 8:297–305, 2016). It consists of the local results and convergence theorem of the defined operators. Here, we discuss the asymptotic behaviour of the operators and the quantitative means of Voronovskaja type theorem is obtained. In this direction, we determine the Grüss Voronovskaya type theorem. Graphical representation is given to support the approximation results of the operators and, at last, conclusions are given.

AB - This paper deals with the approximation properties of the summation-integral type operators defined by Mishra et al. (Boll Unione Mat Ital 8:297–305, 2016). It consists of the local results and convergence theorem of the defined operators. Here, we discuss the asymptotic behaviour of the operators and the quantitative means of Voronovskaja type theorem is obtained. In this direction, we determine the Grüss Voronovskaya type theorem. Graphical representation is given to support the approximation results of the operators and, at last, conclusions are given.

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KW - Rate of convergence

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BT - Advances in Mathematical Modelling, Applied Analysis and Computation - Proceedings of ICMMAAC 2021

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A2 - Anastassiou, George A.

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Y2 - 5 August 2021 through 7 August 2021

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Yadav R, Meher R, Mishra VN. Some Approximation Results on Durrmeyer Modification of Generalized Szász–Mirakjan Operators. Dans Singh J, Anastassiou GA, Baleanu D, Cattani C, Kumar D, rédacteurs en chef, Advances in Mathematical Modelling, Applied Analysis and Computation - Proceedings of ICMMAAC 2021. Springer Science and Business Media Deutschland GmbH. 2023. p. 169-179. 10.1007/978-981-19-0179-9_9. (Lecture Notes in Networks and Systems). doi: 10.1007/978-981-19-0179-9_9

Some Approximation Results on Durrmeyer Modification of Generalized Szász–Mirakjan Operators

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