In this paper we extend our studies for Modified Lupas operators introduced by Sahai and Prasad. We introduce and develop some direct results for Stancu type generalization of above operators using linear approximation method. Fubini’s theorem is used extensively to prove our main theorem. The anticipated improvement is made through technique of linear combination is well corroborated by the results in the paper. Here, modification of operators through Stancu generalization plays an important role to obtain better approximation results.
| Published in | American Journal of Applied Mathematics (Volume 3, Issue 6) |
| DOI | 10.11648/j.ajam.20150306.11 |
| Page(s) | 243-249 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Stancu Type Generalization, Linear Combination, Order of Approximation
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APA Style
Srivastava Anshul. (2015). New Improved Approximation by Linear Combination in Lp Spaces. American Journal of Applied Mathematics, 3(6), 243-249. https://doi.org/10.11648/j.ajam.20150306.11
ACS Style
Srivastava Anshul. New Improved Approximation by Linear Combination in Lp Spaces. Am. J. Appl. Math. 2015, 3(6), 243-249. doi: 10.11648/j.ajam.20150306.11
AMA Style
Srivastava Anshul. New Improved Approximation by Linear Combination in Lp Spaces. Am J Appl Math. 2015;3(6):243-249. doi: 10.11648/j.ajam.20150306.11
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Download@article{10.11648/j.ajam.20150306.11,
author = {Srivastava Anshul},
title = {New Improved Approximation by Linear Combination in Lp Spaces},
journal = {American Journal of Applied Mathematics},
volume = {3},
number = {6},
pages = {243-249},
doi = {10.11648/j.ajam.20150306.11},
url = {https://doi.org/10.11648/j.ajam.20150306.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150306.11},
abstract = {In this paper we extend our studies for Modified Lupas operators introduced by Sahai and Prasad. We introduce and develop some direct results for Stancu type generalization of above operators using linear approximation method. Fubini’s theorem is used extensively to prove our main theorem. The anticipated improvement is made through technique of linear combination is well corroborated by the results in the paper. Here, modification of operators through Stancu generalization plays an important role to obtain better approximation results.},
year = {2015}
}
TY - JOUR T1 - New Improved Approximation by Linear Combination in Lp Spaces AU - Srivastava Anshul Y1 - 2015/10/16 PY - 2015 N1 - https://doi.org/10.11648/j.ajam.20150306.11 DO - 10.11648/j.ajam.20150306.11 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 243 EP - 249 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20150306.11 AB - In this paper we extend our studies for Modified Lupas operators introduced by Sahai and Prasad. We introduce and develop some direct results for Stancu type generalization of above operators using linear approximation method. Fubini’s theorem is used extensively to prove our main theorem. The anticipated improvement is made through technique of linear combination is well corroborated by the results in the paper. Here, modification of operators through Stancu generalization plays an important role to obtain better approximation results. VL - 3 IS - 6 ER -
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