Two inequalities
J. M. Gandhi (1970)
Matematički Vesnik
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J. M. Gandhi (1970)
Matematički Vesnik
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B. Martić (1975)
Matematički Vesnik
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D. Ž. Đoković (1967)
Publications de l'Institut Mathématique
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J. D. Kečkić, I. B. Lacković (1970)
Matematički Vesnik
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A. K. Varma, J. Prasad (1970)
Annales Polonici Mathematici
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Josip E. Pečarić (1982)
Publications de l'Institut Mathématique
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Cristinel Mortici, H. M. Srivastava (2014)
Colloquium Mathematicae
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The aim of this article is to give new refinements and sharpenings of Shafer's inequality involving the arctangent function. These are obtained by means of a change of variables, which makes the computations much easier than the classical approach.
Paul R. Beesack (1977)
Annales Polonici Mathematici
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Kazimierz Włodarczyk (1980)
Annales Polonici Mathematici
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Branislav Martić (1979)
Publications de l'Institut Mathématique
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J. B. M. Melissen, M. El Ghami (2015)
Colloquium Mathematicae
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Kim, Sung Guen (1995)
International Journal of Mathematics and Mathematical Sciences
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Ondrej Hutník (2007)
Colloquium Mathematicae
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A number of integral inequalities of Hölder and Minkowski type involving a class of generalized weighted quasi-arithmetic means in integral form is established. Some well known inequalities and their generalizations are derived as consequences of our results.
Victor Korolev, Sergey Popov (2011)
Discussiones Mathematicae Probability and Statistics
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Upper estimates are presented for the universal constant in the Katz-Petrov and Osipov inequalities which do not exceed 3.1905.