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85 sonuçtan 1-3 arası sonuçlar
Sayfa 636
Technique of the proofs . The theorems of Krein , Hedberg , and Ancona ( and
certain other facts about linear semigroups , Sobolev spaces , and differential
operators ) are presented in the first two sections of this paper . Therefore , these
two ...
Technique of the proofs . The theorems of Krein , Hedberg , and Ancona ( and
certain other facts about linear semigroups , Sobolev spaces , and differential
operators ) are presented in the first two sections of this paper . Therefore , these
two ...
Sayfa 673
Another proof of the assertions ( a ) and ( b ) for p < 1 was given in [ 17 ] ,
Appendix 1 . Theorem 3 . 1 yields an estimate of the rate of approximation of a
function in L ( Q ) by the subspace Sk ( Q ) of splines consisting of the functions of
the form ...
Another proof of the assertions ( a ) and ( b ) for p < 1 was given in [ 17 ] ,
Appendix 1 . Theorem 3 . 1 yields an estimate of the rate of approximation of a
function in L ( Q ) by the subspace Sk ( Q ) of splines consisting of the functions of
the form ...
Sayfa 684
PROOF OF THE MAIN THEOREM ( CONVERSE ASSERTION ) The proof of the
remaining part of Theorem 2 . 2 is based on an inequality of Bernstein type for
splines in Ek ( lo ) . To state it we assume that the numbers a > 0 and P , 9 € ( 0 ,
too ] ...
PROOF OF THE MAIN THEOREM ( CONVERSE ASSERTION ) The proof of the
remaining part of Theorem 2 . 2 is based on an inequality of Bernstein type for
splines in Ek ( lo ) . To state it we assume that the numbers a > 0 and P , 9 € ( 0 ,
too ] ...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
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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