广义Szász算子下多项式的像

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2021-12-22 DOI:10.1007/s11766-021-4547-2

Pooja Gupta, Mangey Ram, Ramu Dubey

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引用次数: 0

摘要

本文背后的动机是使用多个Appel多项式的广义SzáSz算子的序列Sn。本文的目的是找到多项式在这些算子下的映象。我们发现，作为n→ ∞, Sn（tm；x）对于每个m∈ℕ. 最后，利用这些算子的线性，证明了一个m次多项式在这些算子下的像是另一个m度多项式。

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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Image of polynomials under generalized Szász operators

The motivation behind this paper is a sequence S_n of generalized Szász operators using multiple Appell polynmials. The purpose of the present paper is to find the image of the polynomials under these operators. We find that as n → ∞, S_n (t^m; x) approaches to x^m for every m ∈ ℕ. Finally, We prove the image of a polynomial of degree m under these operators is another polynomial of degree m by using the linearity of these operators.

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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.