APPROXIMATION OF GENERALIZED SZASZ-MIRAKJAN OPERATORS DEPENDING ON CERTAIN PARAMETERS

被引：0
|
作者：
Qasim, M. [1 ]
Mursaleen, M. [2 ,3 ]
Khan, A. [3 ]
Abbas, Z. [1 ]
机构：
[1] Baba Ghulam Shah Badshah Univ, Dept Math Sci, Rajouri 185234, Jammu & Kashmir, India
[2] China Med Univ, Dept Med Res, China Med Univ Hosp, Taichung, Taiwan
[3] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2022年 / 15卷 / 01期
关键词：
Positive Operators; Voronovskaya type theorem; Weighted modulus of continuity; Local approximation;
D O I：
10.47013/15.1.10
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Motivated by certain generalizations, in this paper we consider a new analogue of generalized Szasz-Mirakjan operators whose construction depends on tau, with extra parameters mu and lambda. Depending on the selection of mu and lambda, these operators are more flexible than the generalized Szasz-Mirakjan operators. We investigate approximation properties. Also, we study local and global approximation, Voronovskaya type theorem. Finally, quantitative estimates for the local approximation are discussed.
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页码：139 / 155
页数：17
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