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

Demonstratio mathematica

article

Włodzimierz Łenski¹  Bogdan Szal¹ 

[1] UNIVERSITY OF ZIELONA GÓRA FACULTY OF MATHEMATICS

关键词: and phrases rate of approximation;    summability of Fourier series;   

DOI  :  10.2478/dema-2014-0071

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

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].

【 授权许可】

CC BY