Degree of Approximation of a Function Belongingto W (Lr, ξ (t)) (r > 1)-Class by (E, 1)(C, 2) Product Summabilty Transform

Kusum Sharma; S. S. Malik

doi:https://doi.org/10.14445/22315373/IJMTT-V8P518

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 8 | Number 2 | Year 2014 | Article Id. IJMTT-V8P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V8P518

Degree of Approximation of a Function Belongingto W (Lr, ξ (t)) (r > 1)-Class by (E, 1)(C, 2) Product Summabilty Transform

Kusum Sharma, S. S. Malik

Abstract

The field of approximation theory is so vast that it plays an increasingly important role in applications in pure and applied mathematics. The present study deals with a theorem concerning the degree of approximation of a function f belonging to W (Lr, ξ (t)) (r > 1)-class by using (E, 1) (C, 2) of its Fourier series.

Keywords

Degree of approximation, W (Lr, ξ (t))(r > 1)-class of function, (E, 1) summability, (C, 2) summability, (E, 1) (C, 2) product summability, Fourier series, Lebesgue integral.

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Citation :

Kusum Sharma, S. S. Malik, "Degree of Approximation of a Function Belongingto W (Lr, ξ (t)) (r > 1)-Class by (E, 1)(C, 2) Product Summabilty Transform," International Journal of Mathematics Trends and Technology (IJMTT), vol. 8, no. 2, pp. 136-146, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V8P518