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NEW TYPE INTEGRAL INEQUALITIES FOR CONVEX FUNCTIONS WITH APPLICATIONS
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초록
We have recently established some integral inequalities for convex functions via the Hermite-Hadamard's inequalities. In continuation here, we also establish some interesting new integral inequalities for convex functions via the Hermite-Hadamard's inequalities and Jensen's integral inequality. Useful applications involving special means are also included.
Abstract
We have recently established some integral inequalities for convex functions via the Hermite-Hadamard's inequalities. In continuation here, we also establish some interesting new integral inequalities for convex functions via the Hermite-Hadamard's inequalities and Jensen's integral inequality. Useful applications involving special means are also included.
참고문헌 (10)
- R. P. Agarwal, "An application of Hayashi's inequality for differentiable functions", Computers Math. Applic., 32(6), pp.95~99 (1996)[DOI]
- M. Alomari, "New inequalities of Hermite-Hadamard type for functions whose third derivatives absolute values are quasi-convex", RGMIA Res. Rep. Coll., 12 (2009)
- N. S. Barnett, "Some new Inequalities for Hermite-Hadamard Divergence in Information Theory", Stochastic analysis and applications, 3, pp.719~ (2003)
- B. C. Carlson, "Some inequalities for hypergeometric functions", Proc. Amer. Math. Soc., 17, pp.32~39 (1966)[DOI]
- P. Cerone, "Mathematical Inequalities. A Perspective", pp.x+391~ (2011), CRC Press
- S. S. Dragomir, "Operator Inequalities of Ostrowski and Trapezoidal Typ", pp.x+112~ (2012), Springer Briefs in Mathematics. Springer
- S. S. Dragomir, "Selected topics on HermiteHadamard type inequalities and applications, RGMIA Monographs" (2000)
- J. L. W. V. Jensen, "Sur les fonctions convexes et les inegalites entre les valeurs moyennes", Acta Math., 30, pp.175~193 (1906)[DOI]
- K. Mehrez, "New type integral inequalities for convex functions with applications", ~ (2017)
- I. N. Sneddon, "The Use of Integral Transforms" (1979), Tata McGraw-Hill
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