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Further approximations of Durrmeyer modification of Szasz-Mirakjan\n operators

2020/02/12 by Rishikesh Yadav, Yadav, Rishikesh, Ramakanta Meher +3
Decision Sciences · Mathematics · #41A25 #41A35 #41A36 #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Multi-Criteria Decision Making

paper · pdf · doi:10.48550/arxiv.2002.05338

openalex publication_date 2020/02/12 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

The main purpose of this paper is to determine the approximations of\nDurrmeyer modification of Szasz-Mirakjan operators, defined by Mishra et al.\n(Boll. Unione Mat. Ital. (2016) 8(4):297-305). We estimate the order of\napproximation of the operators for the functions belonging to the different\nspaces. Here, the rate of convergence of the said operators is established by\nmeans of the function with derivative of the bounded variation. At last, the\ngraphical analysis is discussed to support the approximation results of the\noperators.\n

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