THE VORONOVSKAJA TYPE THEOREM FOR A GENERAL CLASS OF SZASZ-MIRAKJAN OPERATORS

被引：3
|
作者：
Pop, Ovidiu T. [1 ]
Miclaus, Dan [2 ]
Barbosu, Dan [2 ]
机构：
[1] Natl Coll Mihai Eminescu, Satu Mare 440014, Romania
[2] North Univ Baia Mare, Dept Math & Comp Sci, Baia Mare 430122, Romania
来源：
MISKOLC MATHEMATICAL NOTES | 2013年 / 14卷 / 01期
关键词：
Voronovskaja's type theorem; Szasz-Mirakjan operators; positivity; linearity; modulus of continuity;
D O I：
10.18514/MMN.2013.374
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper is devoted to defining a new general class of linear and positive operators depending on a certain function phi. This new class of linear and positive operators generalizes the Szasz-Mirakjan operators. For this new class of operators we establish a convergence theorem and the evaluation of the rate of convergence, in terms of the modulus of continuity.
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页码：219 / 231
页数：13
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