7 research outputs found
Improvement of Newman inequality
Get PDFAbstractLet a=exp(â1/n). Newman inequality isâk=1nâ11âak1+ak<eân,ânâ©Ÿ5. We prove in this paper thatâk=1sâ11âak1+ak=n14eâÏ24n+O(1),âsâ©Ÿn, which will be applied to improve the estimate concerning the approximation of |x| by using Newman's construction
A generalization of Hermite interpolation
No full textWe introduce a new interpolation at Chebyshev nodes. The usual Hermite interpolation is
the limit case of our new interpolation as hâ
Approximation theorems for localized sz<mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mover accent="true"><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mo>ÂŽ</mml:mo></mml:mrow></mml:mover></mml:math>szâMirakjan operators
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