A summation-integral type modification of Szasz-Mirakjan-Stancu operators

In this paper we introduce a summation-integral type modification of Szasz-Mirakjan-Stancu operators. Calculation of moments, density theorem, a direct result and a Voronovskaja-type result are obtained for the operators.

Bibliographic Details
Main Authors: Vishnu Narayan Mishra, Rajiv B. Gandhi, Ram N. Mohapatra
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2016-09-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/1075
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author Vishnu Narayan Mishra
Rajiv B. Gandhi
Ram N. Mohapatra
author_facet Vishnu Narayan Mishra
Rajiv B. Gandhi
Ram N. Mohapatra
author_sort Vishnu Narayan Mishra
collection DOAJ
description In this paper we introduce a summation-integral type modification of Szasz-Mirakjan-Stancu operators. Calculation of moments, density theorem, a direct result and a Voronovskaja-type result are obtained for the operators.
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spelling doaj.art-e5f17e76921f4973af55d495af7437472022-12-22T00:57:37ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2016-09-01451A summation-integral type modification of Szasz-Mirakjan-Stancu operatorsVishnu Narayan Mishra0Rajiv B. Gandhi1Ram N. Mohapatra2Sardar Vallabhbhai National Institute of Technology, Surat - 395007, GujaratBirla Vishvakarma Mahavidyalaya, Vallabh Vidyanagar - 388120, GujaratUniversity of Central Florida, Orlando, FL. 32816, In this paper we introduce a summation-integral type modification of Szasz-Mirakjan-Stancu operators. Calculation of moments, density theorem, a direct result and a Voronovskaja-type result are obtained for the operators. https://ictp.acad.ro/jnaat/journal/article/view/1075Szasz-Mirakjan operatorsthe Korovkin-type approximation resultK-functionalmodulus of smoothnessVoronovskaja-type result
spellingShingle Vishnu Narayan Mishra
Rajiv B. Gandhi
Ram N. Mohapatra
A summation-integral type modification of Szasz-Mirakjan-Stancu operators
Journal of Numerical Analysis and Approximation Theory
Szasz-Mirakjan operators
the Korovkin-type approximation result
K-functional
modulus of smoothness
Voronovskaja-type result
title A summation-integral type modification of Szasz-Mirakjan-Stancu operators
title_full A summation-integral type modification of Szasz-Mirakjan-Stancu operators
title_fullStr A summation-integral type modification of Szasz-Mirakjan-Stancu operators
title_full_unstemmed A summation-integral type modification of Szasz-Mirakjan-Stancu operators
title_short A summation-integral type modification of Szasz-Mirakjan-Stancu operators
title_sort summation integral type modification of szasz mirakjan stancu operators
topic Szasz-Mirakjan operators
the Korovkin-type approximation result
K-functional
modulus of smoothness
Voronovskaja-type result
url https://ictp.acad.ro/jnaat/journal/article/view/1075
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