• DOI:10.1090/S0002-9939-1961-0130525-3
Corpus ID: 39104431

Approximation of continuous functions by typical means of their Fourier series

@inproceedings{Aljani1961ApproximationOC,
  title={Approximation of continuous functions by typical means of their Fourier series},
  author={S. Aljan{\vc}i{\'c}},
  year={1961}
}

• S. Aljančić
• Published 1961
• Mathematics

1. Notations and results, (i) Let C be the class of continuous and periodic functions/of period 27r such that fl*f(x)dx = 0. The Lipschitz and Zygmund class M'A«, and M2Aa or simply 'A,* and 2A« (0<agl) are defined by \f(x+h) -fix) | gM| h\a and \f(x+h)+f(x-h) -2f(x)\ ^M\h\" respectively. Though 1Aa = 2Aa if 0<a<l, it is sometimes convenient to preserve for 0<«<1 both notations, even the neutral one Aa. By MWT(ß) or simply by Wr(ß), r>0, ß real, we denote the class of functions /G C whose… Expand

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