کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4607069 1631421 2015 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets
چکیده انگلیسی

We present novel Markov-type and Nikolskii-type inequalities for multivariate polynomials associated with arbitrary downward closed multi-index sets in any dimension. Moreover, we show how the constant of these inequalities changes, when the polynomial is expanded in series of tensorized Legendre or Chebyshev or Gegenbauer or Jacobi orthogonal polynomials indexed by a downward closed multi-index set. The proofs of these inequalities rely on a general result concerning the summation of tensorized polynomials over arbitrary downward closed multi-index sets.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 189, January 2015, Pages 137–159
نویسندگان
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