Approximation of certain bivariate functions by almost Euler means of double Fourier series.
作者信息
Rathore Arti, Singh Uaday
机构信息
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India.
出版信息
J Inequal Appl. 2018;2018(1):89. doi: 10.1186/s13660-018-1676-0. Epub 2018 Apr 16.
Abstract
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.
摘要
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