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.
Main Authors: | , , |
---|---|
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 |
_version_ | 1818529573134925824 |
---|---|
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.
|
first_indexed | 2024-12-11T17:08:35Z |
format | Article |
id | doaj.art-e5f17e76921f4973af55d495af743747 |
institution | Directory Open Access Journal |
issn | 2457-6794 2501-059X |
language | English |
last_indexed | 2024-12-11T17:08:35Z |
publishDate | 2016-09-01 |
publisher | Publishing House of the Romanian Academy |
record_format | Article |
series | Journal of Numerical Analysis and Approximation Theory |
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 |
work_keys_str_mv | AT vishnunarayanmishra asummationintegraltypemodificationofszaszmirakjanstancuoperators AT rajivbgandhi asummationintegraltypemodificationofszaszmirakjanstancuoperators AT ramnmohapatra asummationintegraltypemodificationofszaszmirakjanstancuoperators AT vishnunarayanmishra summationintegraltypemodificationofszaszmirakjanstancuoperators AT rajivbgandhi summationintegraltypemodificationofszaszmirakjanstancuoperators AT ramnmohapatra summationintegraltypemodificationofszaszmirakjanstancuoperators |