scholarly journals Approximation of a Function Belonging to Lip ((α, r) Class by Np,q. C1 Summability Method of its Fourier Series

2014 ◽  
Vol 14 (2) ◽  
pp. 117-122 ◽  
Author(s):  
JP Kushwaha ◽  
BP Dhakal
Keyword(s):  
Fourier Series ◽  
Science And Technology ◽  
Degree Of Approximation ◽  
Summability Method ◽  
Approximation Of A Function

In this paper, an estimate for the degree of approximation of a function belonging to Lip(α, r) class by product summability method Np.q.C1 of its Fourier series has been established. DOI: http://dx.doi.org/10.3126/njst.v14i2.10424 Nepal Journal of Science and Technology Vol. 14, No. 2 (2013) 117-122

scholarly journals Approximation of functions belonging to LIP (α, p) class by (E, 1)(N,pn) means of its fourier series

1970 ◽  
Vol 7 (1) ◽  
pp. 1-8
Author(s):  
Binod Prasad Dhakal
Keyword(s):  
Fourier Series ◽  
Degree Of Approximation ◽  
Summability Method ◽  
Subject Classification ◽  
Approximation Of Functions ◽  
Keywords And Phrases ◽  
Approximation Of A Function

The present paper deals with approximation of a function belonging to the Lip (α, p) class by product summability method. Here product of Euler (E,1) summability method and Nörlund (N, pn) method has been taken. A new estimate on degree of approximation of a function f belonging to Lip (α, p) class has been determined by (E,1) (N, pn) summability of a Fourier series. Subject Classification: 40G05, 42B05, 42B08 Keywords and phrases: Degree of approximation; (E,1)(N, pn) summability; Fourier series; Lip (α, p) class; Lp norm.DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5416 KUSET 2011; 7(1): 1-8

scholarly journals Degree of Approximation of Functionsf~∈HωClass by the(Np·E1)Means in the Hölder Metric

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Vishnu Narayan Mishra ◽  
Kejal Khatri
Keyword(s):  
Fourier Series ◽  
Degree Of Approximation ◽  
Hölder Metric ◽  
Approximation Of A Function

A new estimate for the degree of approximation of a functionf˜∈Hωclass by(Np·E1)means of its Fourier series has been determined. Here, we extend the results of Singh and Mahajan (2008) which in turn generalize the result of Lal and Yadav (2001). Some corollaries have also been deduced from our main theorem.

scholarly journals Degree of approximation of a function by Nörlund means of its Fourier series

1981 ◽  
Vol 23 (3) ◽  
pp. 395-412
Author(s):  
R. B. Saxena
Keyword(s):  
Fourier Series ◽  
Degree Of Approximation ◽  
Cesàro Means ◽  
Cesaro Means ◽  
Nörlund Means ◽  
Cesáro Means ◽  
Approximation Of A Function

Two theorems of T.M. Flett [Quart. J. Math. Oxford Ser. (2) 7 (1956), 81–95] on the degree of approximation to a function by the Cesàro means of its Fourier series are extended to Nörlund means. Their conjugate analogues are also proved.

scholarly journals On Degree of Approximation by Product Means of Conjugate Series of a Fourier Series

2012 ◽  
Vol 4 ◽  
pp. 5-11 ◽  
Author(s):  
S.K. Paikray ◽  
R.K. Jati ◽  
N.C. Sahoo ◽  
U.K. Misra
Keyword(s):  
Fourier Series ◽  
Degree Of Approximation ◽  
Conjugate Series ◽  
Approximation Of A Function

In this paper a theorem on degree of approximation of a function f ∈ Lip(α, r) by product summability (E, q)(N, pn) of conjugate series of Fourier series associated with f has been established.

scholarly journals Approximation of functions of class $Lip(\alpha,r), (r\geq1)$ by $(N,p_n)(E,1)$ summability means of Fourier series

2014 ◽  
Vol 45 (3) ◽  
pp. 243-250 ◽  
Author(s):  
Shyam Lal ◽  
Abhishek Mishra
Keyword(s):  
Fourier Series ◽  
Degree Of Approximation ◽  
New Technique ◽  
Approximation Of Functions ◽  
A New Technique ◽  
Approximation Of A Function

In this paper, two new theorems on degree of approximation of a function $f\in Lip(\alpha,r), \ \ (r \geq 1)$, have been established. A new technique is applied to find the estimate.

scholarly journals The degree of approximation by Hausdorff means of a conjugate Fourier series

2016 ◽  
Vol 70 (2) ◽  
pp. 63
Author(s):  
Sergiusz Kęska
Keyword(s):  
Fourier Series ◽  
Degree Of Approximation ◽  
Lipschitz Class ◽  
Conjugate Series ◽  
Conjugate Fourier Series ◽  
Hausdorff Means ◽  
Approximation Of A Function

The purpose of this paper is to analyze the degree of approximation of a function \(\overline f\) that is a conjugate of a function \(f\) belonging to the Lipschitz class by Hausdorff means of a conjugate series of the Fourier series.

scholarly journals Degree of approximation of a function belonging to weighted $(L_r ,\xi(t ))$ class by (C,1)(E,q) means

2011 ◽  
Vol 42 (1) ◽  
pp. 31-37 ◽  
Author(s):  
Hare Krishna Nigam
Keyword(s):  
Fourier Series ◽  
Function Class ◽  
Degree Of Approximation ◽  
Approximation Of A Function

In this paper, a new theorem on degree of approximation of a function class by (C,1)(E,q) product summability means of Fourier series has been proved.

scholarly journals On the approximation of function belonging to weighted $ {(L^p, \xi(t))}$ class by almost matrix summability method of its Fourier series

2004 ◽  
Vol 35 (1) ◽  
pp. 67-76 ◽  
Author(s):  
Shyam Lal
Keyword(s):  
Fourier Series ◽  
Degree Of Approximation ◽  
Summability Method ◽  
Matrix Summability ◽  
Approximation Of Function

In this paper, the degree of approximation of function belonging to weighted $ W(L^p$, $ \xi(t))$ class by almost matrix summability of its Fourier series has been determined. The main theorem improves all the previously known theorems in this line of work.

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