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Matematicheskie Zametki, 2014, Volume 96, Issue 6, Pages 803–819
DOI: https://doi.org/10.4213/mzm10560 (Mi mzm10560) 		 
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
Full-text PDF (545 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm10560
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
English version:
Mathematical Notes, 2014, Volume 96, Issue 6, Pages 841–854
DOI: https://doi.org/10.1134/S0001434614110212
Bibliographic databases:
Document Type: Article
UDC: 517.272
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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