(C, 1) Means of Orthonormal Expansions for Exponential Weights

Application of Mhaskar‐Prestin operators to the convergence of orthonormal expansions

“…o f. (b), (d)-(f) can be found in Lemma 8 in[9]. (c) can be found in (61) in[9], and (a) can be found in Theorem 12.3 (b) in[3].…”

The de la Vallée Poussin Mean and Polynomial Approximation for Exponential Weight

“…The following estimate is known essentially (see [6,Theorem 4], [7, Theorem 1.2] and [3, Lemma 1]), but we give a proof for the sake of completeness. v n (f )wΦ…”

“…Hence our results (1.5) and (1.6) improve their result. For more general weights, see [3], [6] and [7].…”

“…Recalling some estimates for exponential weights in Section 3, we will give a proof of Theorem 1.1 for the case of p = ∞ in Section 4. Basic method of our proof is classic and well-known ( [1], see also [8], [6]), but we repeat it in order to make a role of T (x) clear. The complete proof of Theorem 1.1 is given in Section 5.…”