Degree of approximation of a function belonging to weighted $(L_r ,\xi(t ))$ class by (C,1)(E,q) means
نویسندگان
چکیده
منابع مشابه
DEGREE OF APPROXIMATION OF FUNCTIONS BELONGING TO LIPα CLASS AND WEIGHTED (L,ξ(t)) CLASS BY PRODUCT SUMMABILITY METHOD
A good amount of work has been done on degree of approximation of functions belonging to Lipα, Lip(α, r), Lip(ξ(t), r) and W (L, ξ(t)) classes using Cesàro and (generalized) Nörlund single summability methods by a number of researchers like Alexits [1], Sahney and Goel [11], Qureshi and Neha [9], Quershi [7, 8], Chandra [2], Khan [4], Leindler [5] and Rhoades [10]. But till now no work seems to...
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In this paper two generalized theorems on the degree of approximation of conjugate functions belonging to the Lipschitz classes of the type Lipα, 0 < α ≤ 1, and W (Lp, ξ(t)) are proved. The first one gives the degree of approximation with respect to the L∞-norm, and the second one with respect to Lp-norm, p ≥ 1. In addition, a correct condition in proving of the second mentioned theorem is empl...
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ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 2011
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.42.2011.514.31-37