利用修正lupa - kantrovich算子保持指数增长函数的方法

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

Numerical Functional Analysis and Optimization Pub Date : 2023-10-10 DOI:10.1080/01630563.2023.2263977

Neha Kajla, Naokant Deo

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引用次数: 0

摘要

摘要作为本研究的一部分，我们提出了对已知的lupa - kantrovich的修正，该修正保留了指数函数e - x。为了支持这一说法，我们估计了算子的收敛速度在通常和指数模的连续性。我们的分析还包括全球估计和定量Voronovskaya结果。为了证明修正算子的有效性，我们给出了一个结果和支持图。关键词:指数函数收敛率evoronovoskaya定理数学学科分类:41A2541A36披露声明本工作无利益冲突。csir资助本研究，第一作者参考文献号:08/133(0021)/2018-EMR-1。

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An approach to preserve functions with exponential growth by using modified Lupaş-Kantrovich operators

AbstractAs part of this study, we propose a modification of the so-known Lupaş-Kantrovich that preserve exponential function e−x. To support this claim, we estimate the convergence rate of the operators in terms of both the usual and exponential modulus of continuity. Our analysis also includes a global estimate and quantitative Voronovskaya results. Demonstrating the effectiveness of modified operators, we provided a result and supporting graphs.KEYWORDS: Exponential functionsrate of convergenceVoronovoskaya theoremMATHEMATICS SUBJECT CLASSIFICATION: 41A2541A36 Disclosure statementThis work has no conflicts of interest.Additional informationFundingCSIR is funding this research with Reference No:08/133(0021)/2018-EMR-1 for the first author.

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来源期刊

Numerical Functional Analysis and Optimization 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal. Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.