Discrete analogs of inequalities of Wirtinger.
作者： Ky Fan , Olga Taussky , John Todd
DOI: 10.1007/BF01302991
关键词:
摘要: In the theory of inequalities there are often encountered inequalities which are first proved for finite series and then established for infinite series or integrals. We shall discuss here the …
springer.com
sci-hub.se 参考文章(16)
Gábor Szegő, George Polya, Isoperimetric inequalities in mathematical physics ,(1951)
Lothar Collatz, Eigenwertprobleme und ihre numerische Behandlung Becker & Erler. ,(1945)
Wilhelm Blaschke, Kreis und Kugel The Mathematical Gazette. ,vol. 36, pp. 131- 146 ,(1916) , 10.1007/978-3-7091-9532-1_7
Richard Courant, David Hilbert, Methods of Mathematical Physics ,(1947)
John Williamson, The latent roots of a matrix of special type Bulletin of the American Mathematical Society. ,vol. 37, pp. 585- 590 ,(1931) , 10.1090/S0002-9904-1931-05215-0
George E. Forsythe, Asymptotic lower bounds for the fundamental frequency of convex membranes Pacific Journal of Mathematics. ,vol. 5, pp. 691- 702 ,(1955) , 10.2140/PJM.1955.5.691
Alexander Ostrowski, Über die Absolutabweichung einer differentiierbaren Funktion von ihrem Integralmittelwert Commentarii Mathematici Helvetici. ,vol. 10, pp. 226- 227 ,(1937) , 10.1007/BF01214290
H. B�ckner, Über Konvergenzsätze, die sich bei der Anwendung eines Differenzenverfahrens auf ein Sturm-Liouvillesches Eigenwertproblem ergeben Mathematische Zeitschrift. ,vol. 51, pp. 423- 465 ,(1948) , 10.1007/BF01185778
George E. Forsythe, Asymptotic lower bounds for the frequencies of certain polygonal membranes. Pacific Journal of Mathematics. ,vol. 4, pp. 467- 480 ,(1954) , 10.2140/PJM.1954.4.467
D. G. Northcott, Some Inequalities between Periodic Functions and Their Derivatives Journal of The London Mathematical Society-second Series. pp. 198- 202 ,(1939) , 10.1112/JLMS/S1-14.3.198