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

Rishikesh Yadav,Vishnu Narayan Mishra,Ramakanta Meher

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

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

Rishikesh Yadav, Vishnu Narayan Mishra + Show 1 more

https://doi.org/10.1007/978-981-19-0179-9_9

Copy DOI

Publication Date: Oct 14, 2022

Affiliation: Indira Gandhi National Tribal University, Sardar Vallabhbhai National Institute of Technology Surat, University of Namur

#Voronovskaya Type Theorem #Type Theorem + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

AbstractThis 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.KeywordsSzász–Mirakjan operatorsRate of convergenceVoronovskaya type theoremLipschitz space

Full Text