摘要: We study l p operator norms of weighted mean matrices using the approaches Kaluza-Szego and Redheffer. As an application, we prove a conjecture Bennett.
springer.com
unirioja.es
harvard.edu
vu.edu.au
arxiv-vanity.com
arxiv.org 参考文章(33)
Raymond M. Redheffer, Easy Proofs of Hard Inequalities Birkhäuser Basel. pp. 123- 140 ,(1983) , 10.1007/978-3-0348-6290-5_8
Peng Gao, A Note on Carleman's Inequality arXiv: Classical Analysis and ODEs. ,(2007)
L. Losonczi, Eigenvalues and eigenvectors of some tridiagonal matrices Acta Mathematica Hungarica. ,vol. 60, pp. 309- 322 ,(1992) , 10.1007/BF00051649
Chang-Pao Chen, Dah-Chin Luor, Zong-yin Ou, Extensions of Hardy inequality Journal of Mathematical Analysis and Applications. ,vol. 273, pp. 160- 171 ,(2002) , 10.1016/S0022-247X(02)00232-9
Horst Alzer, Converses of two inequalities of Ky Fan, O. Taussky, and J. Todd Journal of Mathematical Analysis and Applications. ,vol. 161, pp. 142- 147 ,(1991) , 10.1016/0022-247X(91)90365-7
Hugh L. Montgomery, The analytic principle of the large sieve Bulletin of the American Mathematical Society. ,vol. 84, pp. 547- 568 ,(1978) , 10.1090/S0002-9904-1978-14497-8
David Boyd, BEST CONSTANTS IN A CLASS OF INTEGRAL INEQUALITIES Pacific Journal of Mathematics. ,vol. 30, pp. 367- 383 ,(1969) , 10.2140/PJM.1969.30.367
Daniel T. Shum, On a class of new inequalities Transactions of the American Mathematical Society. ,vol. 204, pp. 299- 341 ,(1975) , 10.1090/S0002-9947-1975-0357715-3
Ky Fan, Olga Taussky, John Todd, Discrete analogs of inequalities of Wirtinger. Monatshefte für Mathematik. ,vol. 59, pp. 73- 90 ,(1955) , 10.1007/BF01302991
Peng Gao, A note on Hardy-type inequalities Proceedings of the American Mathematical Society. ,vol. 133, pp. 1977- 1984 ,(2005) , 10.1090/S0002-9939-05-07964-5