moment problem वाक्य
उदाहरण वाक्य
मोबाइल
- In the early 1920s, he worked on the moment problem, to which he introduced the operator-theoretic approach by proving the Riesz extension theorem ( which predated the closely related Hahn & ndash; Banach theorem ).
- The uniqueness of " & mu; " in the Hausdorff moment problem follows from the Weierstrass approximation theorem, which states that polynomials are dense under the uniform norm in the space of continuous functions on [ 0, 1 ].
- The Stieltjes moment problems and the Hamburger moment problems, if they are solvable, may have infinitely many solutions ( indeterminate moment problem ) whereas a Hausdorff moment problem always has a unique solution if it is solvable ( determinate moment problem ).
- The Stieltjes moment problems and the Hamburger moment problems, if they are solvable, may have infinitely many solutions ( indeterminate moment problem ) whereas a Hausdorff moment problem always has a unique solution if it is solvable ( determinate moment problem ).
- The Stieltjes moment problems and the Hamburger moment problems, if they are solvable, may have infinitely many solutions ( indeterminate moment problem ) whereas a Hausdorff moment problem always has a unique solution if it is solvable ( determinate moment problem ).
- The Stieltjes moment problems and the Hamburger moment problems, if they are solvable, may have infinitely many solutions ( indeterminate moment problem ) whereas a Hausdorff moment problem always has a unique solution if it is solvable ( determinate moment problem ).
- The Stieltjes moment problems and the Hamburger moment problems, if they are solvable, may have infinitely many solutions ( indeterminate moment problem ) whereas a Hausdorff moment problem always has a unique solution if it is solvable ( determinate moment problem ).
- I should think a little to give you a precise derivation for your CF this way, but as you are interested in the topic, you can have a look to Akhiezer's book on the classical moment problem, where everything is very clearly explained.
- In " Moment problems for a finite interval " of 1923 he treated more special moment problems, such as those with certain restrictions for generating density \ varphi ( x ), for instance \ varphi ( x ) \ in L ^ p [ 0, 1 ].
- In " Moment problems for a finite interval " of 1923 he treated more special moment problems, such as those with certain restrictions for generating density \ varphi ( x ), for instance \ varphi ( x ) \ in L ^ p [ 0, 1 ].
- The Stieltjes moment problem, Vorobyev moment problem, and the Hausdorff moment problem are similar but replace the real line by [ 0, + \ infty ) ( Stieltjes and Vorobyev; but Vorobyev formulates the problem in the terms of matrix theory ), or a bounded interval ( Hausdorff ).
- The Stieltjes moment problem, Vorobyev moment problem, and the Hausdorff moment problem are similar but replace the real line by [ 0, + \ infty ) ( Stieltjes and Vorobyev; but Vorobyev formulates the problem in the terms of matrix theory ), or a bounded interval ( Hausdorff ).
- The Stieltjes moment problem, Vorobyev moment problem, and the Hausdorff moment problem are similar but replace the real line by [ 0, + \ infty ) ( Stieltjes and Vorobyev; but Vorobyev formulates the problem in the terms of matrix theory ), or a bounded interval ( Hausdorff ).
- The essential difference between this and other well-known moment problems is that this is on a bounded interval, whereas in the Stieltjes moment problem one considers a half-line [ 0, " ), and in the Hamburger moment problem one considers the whole line ( " ", " ).
- The essential difference between this and other well-known moment problems is that this is on a bounded interval, whereas in the Stieltjes moment problem one considers a half-line [ 0, " ), and in the Hamburger moment problem one considers the whole line ( " ", " ).
- The essential difference between this and other well-known moment problems is that this is on a bounded interval, whereas in the Stieltjes moment problem one considers a half-line [ 0, " ), and in the Hamburger moment problem one considers the whole line ( " ", " ).
- The essential difference between this and other well-known moment problems is that this is on a half-line [ 0, & infin; ), whereas in the Hausdorff moment problem one considers a bounded interval [ 0, 1 ], and in the Hamburger moment problem one considers the whole line ( & minus; & infin;, & infin; ).
- The essential difference between this and other well-known moment problems is that this is on a half-line [ 0, & infin; ), whereas in the Hausdorff moment problem one considers a bounded interval [ 0, 1 ], and in the Hamburger moment problem one considers the whole line ( & minus; & infin;, & infin; ).
- The essential difference between this and other well-known moment problems is that this is on a half-line [ 0, & infin; ), whereas in the Hausdorff moment problem one considers a bounded interval [ 0, 1 ], and in the Hamburger moment problem one considers the whole line ( & minus; & infin;, & infin; ).
- There are three named classical moment problems : the Hamburger moment problem in which the support of & mu; is allowed to be the whole real line; the Stieltjes moment problem, for [ 0, + & infin; ); and the Hausdorff moment problem for a bounded interval, which without loss of generality may be taken as [ 0, 1 ].
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