Approximation of functions belonging to the generalized Lipschitz class by $C^1cdot N_p$ summability method of conjugate series of Fourier series

V. N. Mishra; K. Khatri; L. N. Mishra

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Approximation of functions belonging to the generalized Lipschitz class by $C^1cdot N_p$ summability method of conjugate series of Fourier series

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

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In the present study, a new theorem on the degree of approximation of func- tion . f , conjugate to a periodic function f belonging to weighted W (L r , ξ(t))-class using semi- monotonicity on the generating sequence {p n } has been established.

机译：在本研究中，关于函数逼近度的一个新定理。 f，已在生成序列{p n}上使用半单调性与属于加权W（L r，ξ（t））类的周期函数f共轭。

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《Matematicki Vesnik》 |2014年第2期|共10页
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V. N. Mishra; K. Khatri; L. N. Mishra;
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1. Approximation of functions belonging to the generalized Lipschitz Class by C~1. N_p summability method of fourier series [J] . M.H. Hamdan, H.I. Siyyam Applied mathematics and computation . 2009,第2期

机译：C〜1逼近属于广义Lipschitz类的函数。傅里叶级数的N_p可加性方法
2. 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
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. FUNCTIONS OF GENERALIZED BOUNDED VARIATION AND SUMMABILITY OF FOURIER SERIES. [D] . D'ANTONIO, LAWRENCE ARTHUR. 1986

机译：傅里叶级数的广义有界变化和可合性的函数。
6. On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series [O] . Jitendra Kumar Kushwaha 2013

机译：傅立叶级数共轭级数的欧拉均值逼近广义Lipschitz函数
7. The degree of approximation of functions, and their conjugates, belonging to several general Lipschitz classes, by Hausdorff matrix means of their Fourier series and conjugate series of their Fourier series [O] . B. E. Rhoades 2014

机译：函数的近似程度，以及它们的缀合物，属于几个通用的嘴唇尖级课程，由Hausdorff矩阵手段的傅立叶系列和共轭系列的傅立叶系列

Approximation of functions belonging to the generalized Lipschitz class by $C^1cdot N_p$ summability method of conjugate series of Fourier series

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