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31 sonuçtan 1-3 arası sonuçlar
Sayfa 668
Then the function equal to the characteristic function xe , e çlo , belongs to PP * (
Qo ) , and the corresponding best approximation is equal to zero for all neN . At
the same time , it does not belong to any of the spaces B . ( Qo ) with a > 1 / p .
Then the function equal to the characteristic function xe , e çlo , belongs to PP * (
Qo ) , and the corresponding best approximation is equal to zero for all neN . At
the same time , it does not belong to any of the spaces B . ( Qo ) with a > 1 / p .
Sayfa 693
... of the inequality of Marchaud . We leave the uncomplicated details to the
reader . BIBLIOGRAPHY 1 . Yu . A . Brudnyi and I . P . Irodova , Nonlinear spline
approximation and B - spaces , Theory of Approximation of Functions ( Proc .
Internat .
... of the inequality of Marchaud . We leave the uncomplicated details to the
reader . BIBLIOGRAPHY 1 . Yu . A . Brudnyi and I . P . Irodova , Nonlinear spline
approximation and B - spaces , Theory of Approximation of Functions ( Proc .
Internat .
Sayfa 694
I . P . Irodova , Multidimensional spline approximation in Lp - spaces , 0 < p soo ,
Candidate ' s dissertation , Yaroslavl , 1982 . ( Russian ) 10 . — — , Joint
approximation of a function u and its derivatives in Lp ( [ 0 , 1 ] m ) with the help of
...
I . P . Irodova , Multidimensional spline approximation in Lp - spaces , 0 < p soo ,
Candidate ' s dissertation , Yaroslavl , 1982 . ( Russian ) 10 . — — , Joint
approximation of a function u and its derivatives in Lp ( [ 0 , 1 ] m ) with the help of
...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
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According algebra analytic apply assertion assume asymptotic Banach space boundary bounded called closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential direct domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function Further given gives hence holds implies inequality integral introduce lattice Lemma limit linear mapping Math Mathematical matrix means measure multiplicity norm obtained Obviously operator pair particular perturbation polynomial positive possible present principle problem Proof properties Proposition proved reduced relation remains Remark representation respect satisfies scattering side smooth solution space spectral spectrum subspace sufficiently Suppose Theorem theory unique valid vector zero