Approximation properties of generalized blending type Lototsky-Bernstein operators

IF 1.1 3区 数学 Q1 MATHEMATICS Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI:10.7153/jmi-2022-16-50
Hüseyin Aktuğlu, Halil Gezer, Erdem Baytunç, M. S. Atamert
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引用次数: 1

Abstract

. In this paper, we introduce a family of blending type Bernstein operators L α , s n ( f ; x ) which depends on two parameters, α and s . We prove a Korovkin type approximation theorem and obtain the rate of convergence of these operators. We also prove that these operators has monotonicity and convexity preserving properties for each α and s . So far, Lotosky matrices that generates blending type Bernstein operators were ignored. In this paper, we also introduce Lototsky matrices that generates these new family of blending type Bernstein operators.
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广义混合型lotosky - bernstein算子的近似性质
。本文引入了一类混合型Bernstein算子L α, s n (f;X),它取决于两个参数,α和s。我们证明了一个Korovkin型近似定理,并得到了这些算子的收敛速率。我们还证明了这些算子对每个α和s都具有单调性和凸性。到目前为止,忽略了生成混合型Bernstein算子的Lotosky矩阵。在本文中,我们还引入了生成这些新的混合型Bernstein算子族的Lototsky矩阵。
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
Journal of Mathematical Inequalities
Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
2.90
自引率
3.40%
发文量
56
审稿时长
6-12 weeks
期刊介绍: The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.
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