논문KCI 등재
DUNKEL TYPE INEQUALITIES INVOLVING HYPERBOLIC FUNCTIONS
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초록
By means of several properties and inequalities of hyperbolic functions, some Dunkel type inequalities are obtained. As their applications, other inequalities involving hyperbolic functions are also established.
Abstract
By means of several properties and inequalities of hyperbolic functions, some Dunkel type inequalities are obtained. As their applications, other inequalities involving hyperbolic functions are also established.
참고문헌 (11)
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- D.S. Mitrinovic, "Analytic inequalities" (1970), Springer Verlag
- J.C. Kuang, "Applied inequalities" (2010), Shandong Press of Science and Technology
- B.A.Bhayo, "On certain old and new trigonometric and hyperbolic inequalities", Analysis Mathematica, 41(1-2), pp.3~16
- P.R.Beesak, "Integral inequalities of Cebysev type", J.Math.Anal.Appl., 111, pp.643~659 (1985)[DOI]
- l.P.Natanson, "Theory of Functions of A Real Variable", pp.231~233 (1957), National Science and Theoretical Press
- D.Varberg, "Calculus", pp.359~363 (2000), Publisher Prentice Hall
- E.Neuman, "Inequalities for hyperbolic functions", Applied Mathematics and Computation, 218, pp.9291~9295 (2012)[DOI]
- J.B.Diaz, "Complementary inequalities II: Inequalities complementary to the Buniakowsky-Schwarz inequality for integrals", J.Maht.Anal.Appl., 9(2), pp.278~293 (1964)[DOI]
- G.Polya, "Aufgaben und Lehrsatze aus der Analysis, Vol. I" (1925), Springer
- W.-l.Wang, "Approaches to prove inequalities" (2011), Harbin Institute of Technology Press
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