球壳上的最新奥斯特洛夫斯基不等式

Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science Pub Date : 2024-05-15 DOI:10.31926/but.mif.2024.4.66.1.1

George A. Anastassiou

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引用次数: 0

摘要

在这里，我们提出了球壳和球上的一般多元混合奥斯特洛夫斯基式不等式。我们涵盖了径向和非径向情况。通过使用一些新的三角和双曲泰勒公式（[2]）得出的一些估计值，并通过一般极坐标将多变量问题简化为单变量问题，从而得出证明。

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Updated Ostrowski inequalities over a spherical shell

Here we present general multivariate mixed Ostrowski type inequalities over spherical shells and balls. We cover the radial and not necessarily radial cases. The proofs derive by the use of some estimates coming out of some new trigonometric and hyperbolic Taylor’s formulae ([2]) and reducing the multivariate problem to a univariate one via general polar coordinates.

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来源期刊

Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science

CiteScore

0.70

自引率

0.00%

发文量