کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4628796 | 1340566 | 2013 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Approximation for periodic functions via weighted statistical convergence
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Korovkin type approximation theorems are useful tools to check whether a given sequence (Ln)n⩾1 of positive linear operators on C[0,1] of all continuous functions on the real interval [0,1] is an approximation process. That is, these theorems exhibit a variety of test functions which assure that the approximation property holds on the whole space if it holds for them. Such a property was discovered by Korovkin in 1953 for the functions 1,x and x2 in the space C[0,1] as well as for the functions 1, cos and sin in the space of all continuous 2Ï-periodic functions on the real line. In this paper, we use the notion of weighted statistical convergence to prove the Korovkin approximation theorem for the functions 1, cos and sin in the space of all continuous 2Ï-periodic functions on the real line and show that our result is stronger. We also study the rate of weighted statistical convergence.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 15, 1 April 2013, Pages 8231-8236
Journal: Applied Mathematics and Computation - Volume 219, Issue 15, 1 April 2013, Pages 8231-8236
نویسندگان
Osama H.H. Edely, M. Mursaleen, Asif Khan,