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A(α)-acceptability of pade approximations to function exp (Q)

✍ Scribed by Fengjian Yang; Xinming Cheng

Book ID
105629391
Publisher
Springer
Year
1999
Tongue
English
Weight
273 KB
Volume
15
Category
Article
ISSN
1573-8175

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Best Approximation of Functions like |x|
Best Approximation of Functions like |x|λ exp(−A|x|−α)
✍ Michael I Ganzburg 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 392 KB

We determine the exact order of best approximation by polynomials and entire functions of exponential type of functions like . \*, : (x)= |x| \* exp(&A |x| &: ). In particular, it is shown that E(. \*, : , P n , L p (&1, 1))tn &(2\*p+:p+2)Â2 p(1+:) \_ exp(&(1+: &1 )(A:) 1Â(1+:) cos :?Â2(1+:) n :Â(1+