Approximation of functions with linear positive operators which fix {1, φ} and {1, φ2}

IF 0.8 4区数学 Q2 MATHEMATICS

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2020-12-01 DOI:10.2478/auom-2020-0045

F. Usta

引用次数: 4

Abstract

Abstract In this manuscript, linear and positive operators described on bounded and unbounded intervals that fix the function sets {1, φ} and {1, φ2} such that φ ∈ C[0, 1] are presented. Then we present different types of operators by choosing different functions and values. Finally, Voronovskaya type theorems are given for this newly defined sequences of linear and positive operators.

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具有固定{1，φ}和{1，φ2}的线性正算子的函数逼近

摘要本文给出了有界区间和无界区间上的线性算子和正算子，它们固定了函数集{1，φ}和{1，φ2}，使得φ∈C[0,1]。然后通过选择不同的函数和值，给出了不同类型的操作符。最后，给出了新定义的线性和正算子序列的Voronovskaya型定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.