On the order of magnitude of the uniform convergence of multiple trigonometric Fourier series with respect to cubes on the function classes $ H^l_{p,m} [\omega]$期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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On the order of magnitude of the uniform convergence of multiple trigonometric Fourier series with respect to cubes on the function classes $ H^l_{p,m} [\omega]$

Authors:	N A Ilyasov

Institution:	(1) Department of Mathematics, Faculty of Engineering and Technology, Mody Institute of Technology and Science (Deemed University), Laxmangarh, 332311 Sikar, Rajasthan, India

Abstract:	We present a solution for the order problem of magnitude of the deviation in uniform metric of the cubic partial sums of the multiple trigonometric Fourier series on certain classes of functions with a given majorant of their $L_p$-modulus of smoothness of order $l$, where $l\in \N$ and $1

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