Geodesic
An exact constant on the estimation of the approximation error of classes of differentiable functions by the second-order Cesaro means
Matematičeskie trudy, Tome 24 (2021) no. 2, pp. 150-159

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In the article, we study a problem related to the approximation of continuous functions by linear methods. In the class of functions satisfying Lipschitz condition, we obtain the best constant for the approximation by Cesaro means of second order. 
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     author = {O. G. Rovenskaya},
     title = {An exact constant on the estimation of the approximation error of classes of differentiable functions by the second-order {Cesaro} means},
     journal = {Matemati\v{c}eskie trudy},
     pages = {150--159},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2021_24_2_a8/}
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O. G. Rovenskaya. An exact constant on the estimation of the approximation error of classes of differentiable functions by the second-order Cesaro means. Matematičeskie trudy, Tome 24 (2021) no. 2, pp. 150-159. http://geodesic.mathdoc.fr/item/MT_2021_24_2_a8/