Approximation of the Localized Szász-Mirakjan-Durrmeyer Operators
szász-mirakjan operators, szász-mirakjan-durrmeyer operators, localization, convergence, approximation
Abstract
In the present paper, we localize the Szász-Mirakjan-Durrmeyer operators. For which we discuss the convergence and the approximation and obtain theorems of convergence, approximation and rate of approximation.
Downloads
How to Cite
References
Otto Szász (1950) Generalization of Bernstein's Polynomials to the infinite interval. 45, 1401-1407.
Z Ditzian, V Totik (1987) Weighted Moduli of Smoothness. 55-74.
Zoltán Finta, N Govil, Vijay Gupta (2007) Some results on modified Szász-Mirakjan operators. 327(2), 1284-1296.
A (2008) A generalization of Szász-Mirakyan operators based on http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll">q-integers. 47(9-10), 1052-1062.
Naokant Deo (2008) Direct result on exponential-type operators. 204(1), 109-115.
Z Finta (2005) On converse approximation theorems. 312, 159-180.
Jesús De, La Cal, J Cárcamo (2003) On uniform approximation by someclassical Bernstein-type operators. 279, 625-638.
José Adell, Alberto Lekuona (2008) Best constants in preservation of global smoothness for Szász-Mirakyan operators. 338(2), 753-757.
N Govil, Z Finta, Vijay Gupta (2007) Some results on modified Szász-Mirakjan operators. 327, 1284-1296.
Z Walczak (2003) On certain positive linear operators in polynomial weight spaces. 101(3), 179-191.
R Yang, J Xiong, F Cao (2003) Strong Converse Inequality for Modified Szász Operators. 24(3), 437-444.
Ying Wang, Xuezhi Mao, Liwei Bai (1997) Soft Control for Swarm Aggregations. 3(3), 18-25.
Oktay Duman, M Özarslan (2007) Szász-Mirakjan type operators providing a better error estimation. 20(12), 1184-1188.
J Tian, W Chen, Ch Liu (2000) On modifying the Local saturation Theorem of Szász-Gamma type operators. 27(4).
Jesús De, La Cal, J Cárcamo (2007) On the approximation of convex functions by Bernstein-type operators. 334, 1106-1115.
Guanzhen Zhou, Songping Zhou (1999) A remark on a modified Szász-Mirakjan operator. 79(2), 157-160.
S Mazhar, V Totik (1985) Approximation by modified Szász operators. 49, 257-269.
Heinz-Gerd Lehnhoff (1984) On a modified Szasz-Mirakjan-operator. 42(3), 278-282.
E Omey (1986) Note on operators of Szász-Mirakyan type. 47(3), 246-254.
X Sun (1994) On the convergence of the modified Szász-Mirakjan operator. 10(1), 20-25.
Shuang Xu, Kai Wang, Wenxin Lai, Zechen Luo, Paixin Chen, Honglin Yan, Ruiqi Guan (1989) Insight into local defect resonance and its in-situ measurement based on flexible nano-composite sensors. 29(7).
H Kasana, G Prasad, P Agrawal, A Sahai (1985) MODIFIED SZASZ OPERATORS. 29-41.
Chungou Zhang, Null- Wang (2009) THE COMPLETE ASYMPTOTIC EXPANSIONS FOR THE SZÁSZ-MIRAKIAN-TYPE OPERATORS. 07(06), 851-858.
V Gupta (1995) Simultaneous approximation by Szász-Durrmeyer operators. 64(1-4), 27-36.
Vijay Gupta, Muhammad Noor (2006) Convergence of derivatives for certain mixed Szasz-Beta operators. 321(1), 1-9.
Vijay Gupta, Jyoti Sinha (2008) Direct results on certain Szasz-Mirakyan operators. 195(1), 230-239.
J Grof (1980) über approximation durch polynome mit Belegfunktionen. 35, 109-116.
Linsen Xie, Tingfan Xie (2008) Approximation theorems for localized szhttp://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll">a´sz-Mirakjan operators. 152(2), 125-134.
Grażyna Krech (2016) Some approximation results for operators of Szász-Mirakjan-Durrmeyer type. 66(4), 945-958.
Lin Zhi, Peng Cheng, Wen Tao, ; Xu, Xiao Wei (2021) Approximation Properties of -Szász-Mirakjan-Durrmeyer Operators.
Published
2023-09-12
Issue
Section
License
Copyright (c) 2023 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.