id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-1109	Zeng, Lingzhong; Zhou, Ziyi	Eigenvalue bounds for the clamped plate problem of L^2_xi operator	2025	19	.pdf	application/pdf	7287	457	82	G = k∑ i,j=1 (Γk+1 − Γj) aijtij + k∑ i,j=1 (Γj − Γi) aijtij = k∑ j,i=1 (Γk+1 − Γi) aijtji + k∑ i,j=1 sijtij = − k∑ j,i=1 (Γk+1 − Γi) aijtij + k∑ i,j=1 sijtij = −G+ k∑ [ Γi (Γk+1 − Γi) ]1/2 , (1.8) which is sharper than Γk+1 ≤ [ 1 + 8(n+ 2) n2 ]1 k k∑ i=1 Γi. (1.9) EJDE-2025/31 EIGENVALUE BOUNDS FOR THE CLAMPED PLATE PROBLEM 3 We note that, in fact, inequality (1.9) is better than inequality (1.5) given by Payne, Pólya and Weinberger.	cache/ejde-1109.pdf	txt/ejde-1109.txt