Approximation of Conjugate Functions by General Linear Operators of Their Fourier Series at the Lebesgue Points

Abstract

The pointwise estimates of the deviations r T͂n,A,Bf (·) - f͂͂ (·) and T͂n,A,Bf (·) - f͂͂ (·,ε) in terms of moduli of continuity ω̃f and r ω̃f are proved. Analogical results on norm approximation with remarks and corollary are also given. These results generalized a theorem of Mittal [3, Theorem 1, p. 437].

Keywords

• and phrases rate of approximation
• summability of Fourier series