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This article is cited in 2 scientific papers (total in 2 papers)
On Willett's, Godunova–Levin's, and Rozanova's Opial-Type Inequalities with Related Stolarsky-Type Means
M. Andrica, A. Barbira, J. Pečarićb a University of Split
b University of Zagreb
Abstract:
In this paper, we consider generalizations of Opial's inequality due to Willett, Godunova, Levin, and Rozanova. Cauchy-type mean-value theorems are proved and used in studying Stolarsky-type means defined by the obtained inequalities. Also, a method of producing $n$-exponentially convex and exponentially convex functions is applied.
Keywords:
Willett's inequality, Godunova–Levin's inequality, Rozanova's inequality, Cauchy mean-value theorems, exponential convexity, Stolarsky means.
Received: 10.04.2013
Citation:
M. Andric, A. Barbir, J. Pečarić, “On Willett's, Godunova–Levin's, and Rozanova's Opial-Type Inequalities with Related Stolarsky-Type Means”, Mat. Zametki, 96:6 (2014), 803–819; Math. Notes, 96:6 (2014), 841–854
Linking options:
https://www.mathnet.ru/eng/mzm10560https://doi.org/10.4213/mzm10560 https://www.mathnet.ru/eng/mzm/v96/i6/p803
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Abstract page: | 435 | Full-text PDF : | 160 | References: | 32 | First page: | 19 |
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