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Trigonometric approximation of functions belonging to Lipschitz class by matrix (C1⋅Np) operator of conjugate series of Fourier series
2013
Advances in Difference Equations
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In the present paper, a new theorem on the degree of approximation of a function f , conjugate to a 2π periodic function f belonging to the Lip α (0 < α ≤ 1) class without the monotonicity condition on the generating sequence {p n } has been established, which in turn generalizes the results of Lal (Appl. Math. Comput. 209: 346-350, 2009) on a Fourier series. MSC: Primary 40G05; 41A10; 42B05; 42B08
doi:10.1186/1687-1847-2013-127
fatcat:sr7524dfi5cvbll2c34r5cqnhe