کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4664044 | 1345285 | 2012 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multivariate weighted bernstein-type inequality and its applications
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Bernstein inequality played an important role in approximation theory and Fourier analysis. This article first introduces a general system of functions and the so-called multivariate weighted Bernstein, Nikol'skii, and Ul'yanov-type inequalities. Then, the relations among these three inequalities are discussed. Namely, it is p oved that a family of functions equipped with Bernstein-type inequality satisfies Nikol'skii-type and Ul'yanov-type inequality. Finally, as applications, some classical inequalities are deduced from the obtained results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 32, Issue 2, March 2012, Pages 471-482
Journal: Acta Mathematica Scientia - Volume 32, Issue 2, March 2012, Pages 471-482