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Inverse and Saturation Results for Modified Baskakov Operators in Simultaneous Approximation

Sangeeta Garg1

Section:Research Paper, Product Type: Journal-Paper
Vol.5 , Issue.8 , pp.155-158, Aug-2019


Online published on Aug 31, 2019


Copyright © Sangeeta Garg . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: Sangeeta Garg, “Inverse and Saturation Results for Modified Baskakov Operators in Simultaneous Approximation,” International Journal of Scientific Research in Multidisciplinary Studies , Vol.5, Issue.8, pp.155-158, 2019.

MLA Style Citation: Sangeeta Garg "Inverse and Saturation Results for Modified Baskakov Operators in Simultaneous Approximation." International Journal of Scientific Research in Multidisciplinary Studies 5.8 (2019): 155-158.

APA Style Citation: Sangeeta Garg, (2019). Inverse and Saturation Results for Modified Baskakov Operators in Simultaneous Approximation. International Journal of Scientific Research in Multidisciplinary Studies , 5(8), 155-158.

BibTex Style Citation:
@article{Garg_2019,
author = {Sangeeta Garg},
title = {Inverse and Saturation Results for Modified Baskakov Operators in Simultaneous Approximation},
journal = {International Journal of Scientific Research in Multidisciplinary Studies },
issue_date = {8 2019},
volume = {5},
Issue = {8},
month = {8},
year = {2019},
issn = {2347-2693},
pages = {155-158},
url = {https://www.isroset.org/journal/IJSRMS/full_paper_view.php?paper_id=1459},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMS/full_paper_view.php?paper_id=1459
TI - Inverse and Saturation Results for Modified Baskakov Operators in Simultaneous Approximation
T2 - International Journal of Scientific Research in Multidisciplinary Studies
AU - Sangeeta Garg
PY - 2019
DA - 2019/08/31
PB - IJCSE, Indore, INDIA
SP - 155-158
IS - 8
VL - 5
SN - 2347-2693
ER -

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Abstract :
In this paper, we discuss mixed type i.e. summation-integral type operators having the Baskakov basis function in summation and integration both. Especially, we consider here the linear combination of modified Baskakov operators to get better order of approximation. We find central moments and some other basic results for these operators, and obtain the Inverse and Saturation results with better approximation.

Key-Words / Index Term :
Baskakov type operators; Linear combination; Steklov mean; Simultaneous approximation; Inverse Theorem; Saturation Theorem.

References :
[1]. P.N. Agrawal, A.J. Mohammad, “Linear combination of a new sequence of linear positive operators,” Revista de la Union Mat. Argent. 44(1) (2003), 33-42.
[2]. V. Gupta, G.S. Srivastava, “An estimate of the rate of convergence of modified Baskakov operators for functions of bounded variation,” Kyungpook Math. J. 36(2) (1996), 237-237.
[3]. P. Maheshwari., “An inverse result in simultaneous approximation by modified Beta operators,” Georg. Math. J. 13(2) (2006), 297-306.
[4]. C.P. May, “Saturation and Inverse theorems for combinations of a class of exponential type operators,” Canad. J. Math. 28(6) (1976), 1224-1250.
[5]. R.P. Sinha, P.N. Agrawal and V. Gupta, “On simultaneous approxima- tion by modified Baskakov operators,” Bull. Soc. Math. Belg. Ser. B, 43(2) (1991),

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