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monotony; Collatz method; first eigenvalue; Schwarz quotients; Temple quotients

References:

[1] F. Goerisch J. Albrecht: **Die Mononie der Templeschen Quotienten**. ZAMM (in print).

[2] K. Rektorys: **Variational Methods in Mathematics, Science and Engineering**. 2nd Ed. Dordrecht- Boston-London, J. Reidel 1979. (Czech: Praha, SNTL 1974.) MR 0596582

[3] K. Rektorys Z. Vospěl: **On a method of twosided eigenvalue estimates for elliptic equations of the form $Au - \lambda Bu = 0$**. Aplikace matematiky 26 (1981), 211-240. MR 0615608