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On Some Inequalities of Brenner and Alzer for Concave Functions

✍ Scribed by C.E.M. Pearce; J.E. Pečarić


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
107 KB
Volume
198
Category
Article
ISSN
0022-247X

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Let \(\lambda_{n}(q)\) be the \(n\)th eigenvalue of the Sturm-Liouville equation \(y^{\prime \prime}+(\lambda-q(x)) y=0\), \(y(-l / 2)=y(l / 2)=0\). With certain restrictions on the class of functions \(q\) we determine the shapes of the solutions of the extremal problems for the functionals \(\lamb