Geodesic
Trigonometric approximation by Nörlund type means in $L^p$-norm
Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 4, pp. 575-589.

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We show that the same degree of approximation as in the theorems proved by L. Leindler [Trigonometric approximation in $L^p$-norm, J. Math. Anal. Appl. 302 (2005), 129--136] and P. Chandra [Trigonometric approximation of functions in $L^p$-norm, J. Math. Anal. Appl. 275 (2002), 13--26] is valid for a more general class of lower triangular matrices. We also prove that these theorems are true under weakened assumptions.
Classification : 41A25, 42A10
Keywords: class $\operatorname{Lip} (\alpha, p)$; $L^p$-norm; trigonometric approximation 
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Szal, Bogdan. Trigonometric approximation by Nörlund type means in $L^p$-norm. Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 4, pp. 575-589. http://geodesic.mathdoc.fr/item/CMUC_2009__50_4_a7/