Trigonometric approximation of functions in L1-norm

被引：0
|
作者：
Chandra, Prem [1 ]
Karanjgaokar, Varsha [2 ]
机构：
[1] Vikram Univ, C-315, Ujjain 456010, Madhya Pradesh, India
[2] Govt NPG Coll Sci, Dept Math, Raipur 492010, Madhya Pradesh, India
来源：
PERIODICA MATHEMATICA HUNGARICA | 2022年 / 84卷 / 02期
关键词：
Trigonometric Approximation of Functions; L-1 Approximation of functions; Degree of Approximation; Cesaro; Norlund methods;
D O I：
10.1007/s10998-021-00397-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the authors have obtained L-1-approximations of functions f in Lip(alpha, 1) (0 < alpha <= 1) by trigonometrical polynomials N-n(f; x) whenever the nonnegative and nonincreasing sequence (p(n)) satisfies certain conditions. This enables the authors to approximate f is an element of Lip(alpha, p) (0 < alpha <= 1, 1 <= p < infinity) in L-p-norm by trigonometrical polynomials sigma(beta)(n)(f; x) (beta > 0).
引用
收藏
页码：177 / 185
页数：9
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