Jackson-Stechkin type inequality in weighted Lorentz spaces
نویسندگان
چکیده
منابع مشابه
2 00 6 On the exact constant in Jackson - Stechkin inequality for the uniform metric
The classical Jackson-Stechkin inequality estimates the value of the best uniform approximation of a periodic function f by trigonometric polynomials of degree ≤ n− 1 in terms of its r-th modulus of smoothness ωr(f, δ). It reads En−1(f) ≤ cr ωr ( f, 2π n ) , where cr is some constant that depends only on r. It was known that cr admits the estimate cr < r ar and, basically, nothing else could be...
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The classical Jackson-Stechkin inequality estimates the value of the best uniform approximation of a periodic function f by trigonometric polynomials of degree ≤ n− 1 in terms of its r-th modulus of smoothness ωr(f, δ). It reads En−1(f) ≤ cr ωr ( f, 2π n ) , where cr is some constant that depends only on r. It was known that cr admits the estimate cr < r ar and, basically, nothing else could be...
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2015
ISSN: 1331-4343
DOI: 10.7153/mia-18-100