Approximation of functions in the generalized Zygmund class using Hausdorff means

MV Singh, ML Mittal, BE Rhoades - Journal of Inequalities and …, 2017 - Springer
Approximation of functions in the generalized Zygmund class using Hausdorff means |
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Approximation of signals of class Lip (α, p) by linear operators

ML Mittal, BE Rhoades, S Sonker, U Singh - Applied Mathematics and …, 2011 - Elsevier
Mittal, Rhoades [5–8] and Mittal et al.[9, 10] have initiated a study of error estimates En (f)
through trigonometric-Fourier approximation (tfa) for the situations in which the summability …

[PDF][PDF] Approximation of signals by general matrix summability with effects of Gibbs phenomenon

BB Jena, LN Mishra, SK Paikray… - Bol. Soc. Paran …, 2020 - pdfs.semanticscholar.org
BB Jena, Lakshmi Narayan Mishra*, SK Paikray and UK Misra abstract: In the proposed
paper the degree of approximation of signals (functions) belonging to Lip (α, pn) class has …

Using linear operators to approximate signals of 𝐿𝑖𝑝 (𝛼, 𝑝),(𝑝≥ 1)-class

VN Mishra, K Khatri, LN Mishra - Filomat, 2013 - JSTOR
In this paper, we investigate trigonometric polynomials associated with 𝑓∊ 𝐿𝑖𝑝 (𝛼, 𝑝),(0≤
𝛼≤ 1, 𝑝≥ 1) to approximate 𝑓 in 𝐿𝑝 norm to the degree of 𝑂 (𝑛− 𝛼)(0< 𝛼≤ 1) for a more …

Approximation of signals (functions) belonging to the weighted W(Lp, ξ(t))‐class by linear operators

ML Mittal, BE Rhoades… - International journal of …, 2006 - Wiley Online Library
Mittal and Rhoades (1999–2001) and Mittal et al.(2006) have initiated the studies of error
estimates En (f) through trigonometric Fourier approximations (TFA) for the situations in …

Product summability transform of conjugate series of Fourier series

VN Mishra, K Khatri, LN Mishra - International Journal of …, 2012 - Wiley Online Library
A known theorem, Nigam (2010) dealing with the degree of approximation of conjugate of a
signal belonging to Lipξ (t)‐class by (E, 1)(C, 1) product summability means of conjugate …

Approximation of signals belonging to generalized Lipschitz class using-summability mean of Fourier series

T Pradhan, SK Paikray, U Misra - Cogent mathematics, 2016 - Taylor & Francis
Degree of approximation of functions of different classes has been studied by several
researchers by different summability methods. In the proposed paper, we have established a …

Degree of Approximation of Functions Class by the (Np · E1) Means in the Hölder Metric

VN Mishra, K Khatri - International Journal of Mathematics and …, 2014 - Wiley Online Library
A new estimate for the degree of approximation of a function f˜∈ H ω class by (Np· E1)
means of its Fourier series has been determined. Here, we extend the results of Singh and …

On the trigonometric approximation of signals belonging to generalized weighted Lipschitz W (Lr, ξ (t))(r⩾ 1)-class by matrix (C1⋅ Np) operator of conjugate series of …

LN Mishra, VN Mishra, K Khatri - Applied Mathematics and Computation, 2014 - Elsevier
In the present paper, a new theorem on the degree of approximation of function f∼,
conjugate to a 2π periodic function f belonging to the generalized weighted Lipschitz W (L r …

Approximation of functions belonging to L[0, ∞) by product summability means of its Fourier-Laguerre series

K Khatri, VN Mishra - Cogent Mathematics, 2016 - Taylor & Francis
In this paper, we have proved the degree of approximation of functions belonging to L [0,∞)
by Harmonic-Euler means of its Fourier-Laguerre series at x= 0. The aim of this paper is to …