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On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series

机译：傅立叶级数共轭级数的欧拉均值逼近广义Lipschitz函数

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摘要

Approximation theory is a very important field which has various applications in pure and applied mathematics. The present study deals with a new theorem on the approximation of functions of Lipschitz class by using Euler's mean of conjugate series of Fourier series. In this paper, the degree of approximation by using Euler's means of conjugate of functions belonging to Lip (ξ(t), p) class has been obtained. Lipα and Lip (α, p) classes are the particular cases of Lip (ξ(t), p) class. The main result of this paper generalizes some well-known results in this direction.

机译：逼近理论是一个非常重要的领域，在纯数学和应用数学中都有各种应用。本研究通过使用傅立叶级数的共轭级数的欧拉均值来处理Lipschitz类函数的逼近新定理。在本文中，通过使用属于Lip（ξ（t），p）类的函数的共轭欧拉方法获得了近似度。 Lipα和Lip（α，p）类是Lip（ξ（t），p）类的特殊情况。本文的主要结果概括了该方向上的一些著名结果。

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期刊名称 The Scientific World Journal
作者
Jitendra Kumar Kushwaha;
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年(卷),期 2013(2013),-1
年度 2013
页码 508026
总页数 4
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1. On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series [J] . Jitendra KumarKushwaha ScientificWorldJournal . 2013,第3期

机译：傅里叶系列叠层系列欧拉手段近似升降机函数的近似
2. Approximation of functions belonging to the generalized Lipschitz class by $C^1cdot N_p$ summability method of conjugate series of Fourier series [J] . V. N. Mishra, K. Khatri, L. N. Mishra Matematicki Vesnik . 2014,第2期

机译：傅立叶级数共轭级数的$ C ^ 1 cdot N_p $可加性方法逼近广义Lipschitz类的函数
3. On the trigonometric approximation of signals belonging to generalized weighted Lipschitz W(L~r, ξ(t))(r ≥ 1)-class by matrix (C~1 · N_p) operator of conjugate series of its Fourier series [J] . Lakshmi Narayan Mishra, Vishnu Narayan Mishra, Kejal Khatri, Applied mathematics and computation . 2014,第Null期

机译：用傅立叶级数共轭系列的矩阵（C〜1·N_p）算子对属于广义加权Lipschitz W（L〜r，ξ（t））（r≥1）类的信号进行三角逼近
4. Trigonometric Fourier Approximation of the Conjugate Series of a Function of Generalized Lipchitz Class by Product Summability [C] . B.P. Padhy, P.K. Das, M. Misra, International Conference on Computational intelligence in Data Mining . 2016

机译：三角傅里叶近似的缀合物系列的缀合物的函数通过产品可平性
5. REALIZING FRACTIONAL DERIVATIVES OF ELEMENTARY AND COMPOSITEFUNCTIONS THROUGH THE GENERALIZED EULER’S INTEGRALTRANSFORM AND INTEGER DERIVATIVE SERIES: BUILDINGTHE MATHEMATICAL FRAMEWORK TO MODEL THEFRACTIONAL SCHR ODINGER EQUATION INFRACTIONAL SPACETIME [D] . Gladkina, Anastasia. 2018

机译：通过广义EULER的积分形式和整数导数系列实现基本和复合函数的分数导数：建立数学框架以建模分数维SCHR Odinger方程分数空间
6. Approximation of certain bivariate functions by almost Euler means of double Fourier series [O] . Arti Rathore, Uaday Singh -1

机译：用双傅立叶级数的几乎欧拉方法逼近某些二元函数
7. On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series [O] . Jitendra Kumar Kushwaha 2013

机译：傅里叶系列叠层系列欧拉手段近似升降机函数的近似

On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series

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