DEGREE OF APPROXIMATION OF CONJUGATE OF SIGNALS (FUNCTIONS) BELONGING TO THE GENERALIZED WEIGHTED LIPSCHITZ W(L-r, xi(t)), (r >= 1) - CLASS BY (C, 1) (E, Q) MEANS OF CONJUGATE TRIGONOMETRIC FOURIER SERIES

被引：0

作者：

Mishra, V. N. ^{[1
]}

Khan, H. H. ^{[2
]}

Khatri, K. ^{[1
]}

Mishra, L. N. ^{[3
]}

机构：

[1] Sardar Vallabhbhai Natl Inst Technol, Appl Math & Humanities Dept, Ichchhanath Mahadev Rd, Surat 395007, Gujarat, India

[2] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India

[3] Natl Inst Technol, Dept Math, Silchar 788010, Assam, India

来源：

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 5卷 / 04期

关键词：

Degree of approximation; weighted Lipschitz W(L-r; (t)); (r; 1); (t > 0) - class of functions; (E; q); transform; (C; product summability (C; 1) (E; conjugate Fourier series; Lebesgue integral;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Very recently, Sonker and Singh [21] determined the degree of approximation of the conjugate of 2 pi-periodic signals (functions) belonging to Lip(alpha, r)(0 < alpha <= 1, r >= 1)-class by using Cesaro-Euler (C,1) (E,q) means of their conjugate trigonometric Fourier series. In the present paper, we generalize the result of Sonker and Singh [21] on the generalized weighted Lipschitz W(L-r, xi(t)), (r >= 1) - class of signals (functions) by product summability (C,1) (E,q) transform of conjugate trigonometric Fourier series. Our result also generalizes the result of Lal and Singh [6]. Few applications and example of approximation of functions will also be highlighted.

引用

页码：40 / 53

页数：14

共 22 条

[1]

Govil NK, 1965, CANADIAN MATH B, V8, P637

[2]

Hardy G. H., 1949, DIVERGENT SERIES, V70

[3]

Khan H.H., 1974, INDIAN J PURE AP MAT, V5, P132

[4]

Khan HH., 1982, COMM FS MATH ANKARA, V31, P123

[5]

Khan HH, 1973, ALIGARH B MATH, V3-4, P83

[6]

Lal S., 2002, TAMKANG J MATH, V33, P269

[7]

Mishra, 2012, INT J CONT MATH SCI, V7, P909

[8] Trigonometric approximation of functions belonging to Lipschitz class by matrix () operator of conjugate series of Fourier series [J].

Mishra, Lakshmi Narayan ;

Mishra, Vishnu Narayan ;

Sonavane, Vaishali .

ADVANCES IN DIFFERENCE EQUATIONS, 2013,

[9]

Mishra V. N., 2012, INT J MATH SCI ENGG, V7, P909

[10]

Mishra V.N., 2012, INT J MATH ANAL, V6, P1703

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