A VORONOVSKAYA-TYPE THEOREM FOR A GENERAL CLASS OF DISCRETE OPERATORS

被引：31

作者：

Bardaro, Carlo ^{[1
]}

Mantellini, Ilaria ^{[1
]}

机构：

[1] Univ Perugia, Dept Math & Informat, I-06123 Perugia, Italy

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2009年 / 39卷 / 05期

关键词：

Voronovskaya-type formula; moments; generalized sampling operators; discrete operators; MEYER-KONIG; APPROXIMATION; POLYNOMIALS;

D O I：

10.1216/RMJ-2009-39-5-1411

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Here we introduce a general class of discrete operators, not necessarily positive and we give a Voronovskaya-type formula for this class. Applications to generalized sampling-type operators and to a further generalization of the classical Szasz-Mirak'jan operator are given. Finally a survey on Voronovskaya's formula for classical discrete operators is treated.

引用

页码：1411 / 1442

页数：32

共 45 条

[41] A Korovkin-type theorem for double sequences of positive linear operators via power series method [J].

Sahin, Pinar Okcu ;

Dirik, Fadime .

POSITIVITY, 2018, 22 (01) :209-218

[42] CONVERGENCE THEOREMS IN ORLICZ AND BOGEL CONTINUOUS FUNCTIONS SPACES BY MEANS OF KANTOROVICH DISCRETE TYPE SAMPLING OPERATORS [J].

Ayan, Serkan ;

Ispir, Nurhayat .

MATHEMATICAL FOUNDATIONS OF COMPUTING, 2023, 6 (03) :354-368

[43] Iterative Methods for the Class of Quasi-Contractive Type Operators and Comparsion of their Rate of Convergence in Convex Metric Spaces [J].

Fukhar-ud-din, Hafiz ;

Berinde, Vasile .

FILOMAT, 2016, 30 (01) :223-230

[44] A General Class of the Three-Variable Unified Apostol-Type q-Polynomials and Multiple Power q-Sums [J].

Hari Mohan Srivastava ;

Subuhi Khan ;

Serkan Araci ;

Mehmet Acikgoz ;

Mumtaz Riyasat .

Bulletin of the Iranian Mathematical Society, 2020, 46 :519-542

[45] A sufficient condition on a general class of interval type-2 Takagi-Sugeno fuzzy systems with linear rule consequent as universal approximators [J].

Ying, Hao .

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 29 (03) :1219-1227

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