scholarly journals On the degree of approximation of signals Lip(α,r), (r≥ 1) class by almost Riesz means of its Fourier series

2014 ◽  
pp. 79-87 ◽  
Author(s):  
Vishnu Narayan Mishra ◽  
Huzoor H. Khan ◽  
Idrees A. Khan ◽  
Lakshmi Narayan Mishra
Keyword(s):  
Fourier Series ◽  
Degree Of Approximation ◽  
Riesz Means ◽  
Approximation Of Signals

scholarly journals On Approximation of Signals in the Generalized Zygmund Class Using (E,r)(N,qn) Mean of Conjugate Derived Fourier Series

2020 ◽  
Vol 13 (5) ◽  
pp. 1325-1336
Author(s):  
Anwesha Mishra ◽  
Birupakhya Prasad Padhy ◽  
Umakanta Misra
Keyword(s):  
Fourier Series ◽  
Present Article ◽  
Degree Of Approximation ◽  
Zygmund Class ◽  
Approximation Of Signals ◽  
Approximation Of Function

In the present article, we have established a result on degree of approximation of function in the generalized Zygmund class Zl(m),(l ≥ 1) by (E,r)(N,qn)- mean of conjugate derived Fourier series.

scholarly journals Approximation of signals by general matrix summability with effects of Gibbs Phenomenon

2019 ◽  
Vol 38 (6) ◽  
pp. 141-158 ◽  
Author(s):  
B. B. Jena ◽  
Lakshmi Narayan Mishra ◽  
S. K. Paikray ◽  
U. K. Misra
Keyword(s):  
Fourier Series ◽  
Gibbs Phenomenon ◽  
Degree Of Approximation ◽  
Trigonometric Polynomials ◽  
General Matrix ◽  
Matrix Summability ◽  
Partial Sum ◽  
Approximation Of Signals

In the proposed paper the degree of approximation of signals (functions) belonging to $Lip(\alpha,p_{n})$ class has been obtained using general sub-matrix summability and a new theorem is established that generalizes the results of Mittal and Singh [10] (see [M. L. Mittal and Mradul Veer Singh, Approximation of signals (functions) by trigonometric polynomials in $L_{p}$-norm, \textit{Int. J. Math. Math. Sci.,} \textbf{2014} (2014), ArticleID 267383, 1-6 ]). Furthermore, as regards to the convergence of Fourier series of the signals, the effect of the Gibbs Phenomenon has been presented with a comparison among different means that are generated from sub-matrix summability mean together with the partial sum of Fourier series of the signals.

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 On the degree of approximation of conjugate of a function belonging to weighted $ W(L^p,\xi(t))$ class by matrix summability means of conjugate series of a Fourier series

2000 ◽  
Vol 31 (4) ◽  
pp. 279-288 ◽  
Author(s):  
Shyam Lal
Keyword(s):  
Fourier Series ◽  
Degree Of Approximation ◽  
Conjugate Series ◽  
Matrix Summability

In this paper a new theorem on the degree of approximation of conjugate of a function belonging to weighted $ W(L^p,\xi(t))$ class by Matrix summability means of conjugate series of a Fourier series has been established. The main theorem is a generalization of serveral known and unknown results.

Approximation of Signals by Harmonic-Euler Triple Product Means

2021 ◽  
Vol 88 (1-2) ◽  
pp. 176
Author(s):  
Smita Sonker ◽  
Paramjeet Sangwan
Keyword(s):  
Fourier Series ◽  
Triple Product ◽  
Conjugate Series ◽  
Summability Of Fourier Series ◽  
Approximation Of Signals ◽  
General Conditions

Our paper deals with the approximation of signals by <em>H<sub>1</sub>.E<sup>θ</sup>.E<sup>θ</sup></em> product means of Fourier and its conjugate series. New theorems based on <em>H<sub>1</sub>.E<sup>θ</sup>.E<sup>θ</sup></em> product summability have been established and proved under general conditions. The established theorems extend, generalize and improve various existing results on summability of Fourier series and its conjugate series.

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