On Levinson's inequality

Authors

  • Alfred Witkowski

Abstract

We give a very simple proof of the classical Levinson inequality and generalize the result by Mercer.

References

R.P. Boas, D.V. Widder, Functions with positive differences, Duke Math. J. 7 (1940), 496–503.
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P.S. Bullen, An inequality of N. Levinson, Univ. Beograd Publ. Elektrotehn. Fak. Ser. Mat. Fiz. 412-460 (1973), 109–112.
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N. Levinson, Generalization of an inequality of Ky Fan, J. Math. Anal. Appl. 8 (1964), 133–134.
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A.McD. Mercer, Short proofs of Jensen’s and Levinson’s inequalities, Math. Gazette 94 (2010), 492–495. (Note 94.33).
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J.E. Pečarić, On Levinson’s inequality, Real Anal. Exchange 15 (1989/90), 710– 712.
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T. Popoviciu, Sur une inégalité de N. Levinson, Mathematica (Cluj) 6 (1964), 301–306.
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Published

2013-12-31

How to Cite

Witkowski, A. (2013). On Levinson’s inequality. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 12, 59–67. Retrieved from https://studmath.uken.krakow.pl/article/view/13184

Issue

Vol. 12 (2013)

Section

Published

License

Copyright (c) 2013 Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica

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