Rathore Arti, Singh Uaday
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India.
J Inequal Appl. 2018;2018(1):89. doi: 10.1186/s13660-018-1676-0. Epub 2018 Apr 16.
In this paper, we study the degree of approximation of 2-periodic functions of two variables, defined on [Formula: see text] and belonging to certain Lipschitz classes, by means of almost Euler summability of their Fourier series. The degree of approximation obtained in this way depends on the modulus of continuity associated with the functions. We also derive some corollaries from our theorems.
在本文中，我们研究定义在[公式：见文本]上且属于某些利普希茨类的二元2 - 周期函数通过其傅里叶级数的几乎欧拉可和性的逼近程度。以这种方式得到的逼近程度取决于与这些函数相关的连续性模。我们还从我们的定理中推导出一些推论。
