Modified approximation and error estimation for King’s type (p, q)-BBH operators

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-06-16 DOI:10.1007/s11766-022-4105-6

M. Mursaleen, Mohd. Ahasan, Asif Khan

引用次数: 0

Abstract

In this paper, the King’s type modification of (p, q)-Bleimann-Butzer and Hahn operators is defined. Some results based on Korovkin’s approximation theorem for these new operators are studied. With the help of modulus of continuity and the Lipschitz type maximal functions, the rate of convergence for these new operators are obtained. It is shown that the King’s type modification have better rate of convergence, flexibility than classical (p, q)-BBH operators on some subintervals. Further, for comparisons of the operators, we presented some graphical examples and the error estimation in the form of tables through MATLAB (R2015a)

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King型(p, q)-BBH算子的改进逼近和误差估计

定义了(p, q)- bleimmann - butzer算子和Hahn算子的King’s型修正。基于Korovkin近似定理，研究了这些新算子的一些结果。利用连续模和Lipschitz型极大函数，得到了这些算子的收敛速率。在某些子区间上，King型修正比经典(p, q)-BBH算子具有更好的收敛速度和灵活性。进一步，为了对算子进行比较，我们通过MATLAB (R2015a)给出了一些图形示例和表格形式的误差估计。

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

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.