Mittal, M. L.; Rhoades, B. E. Degree of approximation to functions in a normed space. (English) Zbl 0945.42001 J. Comput. Anal. Appl. 2, No. 1, 1-10 (2000). Let \(A\) be a lower triangular nonnegative matrix and let \(\{t_n\}\) be the sequence of \(A\)-transforms of the sequence of partial sums of the Fourier series of a \(2\pi\)-periodic function \(f\). Here, the authors study the degree of approximation of \(f\) in the Hölder metric by the sequence \(\{t_n\}\). The theorems proved in this paper generalize some existing results in the field. Reviewer: Ganesh Datta Dikshit (Auckland) Cited in 2 ReviewsCited in 12 Documents MSC: 42A10 Trigonometric approximation 41A25 Rate of convergence, degree of approximation Keywords:matrix transform; Fourier series; degree of approximation; Hölder metric PDF BibTeX XML Cite \textit{M. L. Mittal} and \textit{B. E. Rhoades}, J. Comput. Anal. Appl. 2, No. 1, 1--10 (2000; Zbl 0945.42001) Full Text: DOI