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초록· 키워드
오류제보하기
Using known properties of superquadratic functions we obtain
a sequence of inequalities for superquadratic functions such as the
Converse and the Reverse Jensen type inequalities, the Giaccardi and the
Petrovic type inequalities and Hermite-Hadamard’s inequalities. Especially,
when the superquadratic function is convex at the same time, then
we get refinements of classical known results for convex functions. Some
other properties of superquadratic functions are also given.
목차
등록된 정보가 없습니다.
참고문헌 (6)
참고문헌 신청
D. S. Mitrinovic / 1993 / Classical and New Inequalities in Analysis, Mathematics and its Applications (East European Series) / Kluwer Academic Publishers Group : 61 ~
G. Sinnamon / 2001 / Refining the Holder and Minkowski inequalities / Journal of Inequalities and Applications 6 (6) : 633 ~ 640
J. E. Pecaric / 1992 / Convex Functions, Partial Orderings, and Statistical Applications, Mathematics in Science and Engineering / Academic Press, Inc. : 187 ~
S. Abramovich / 2004 / Inequalities for averages of convex and superquadratic functions / Journal of Inequalities in Pure and Applied Mathematics 5 (4)
S. Abramovich / 2004 / Refining Jensen’s Inequality / Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie (N.S.) 47 (1) : 3 ~ 14
G. Sinnamon / 2001 / Refining the Holder and Minkowski inequalities / Journal of Inequalities and Applications 6 (6) : 633 ~ 640
J. E. Pecaric / 1992 / Convex Functions, Partial Orderings, and Statistical Applications, Mathematics in Science and Engineering / Academic Press, Inc. : 187 ~
S. Abramovich / 2004 / Inequalities for averages of convex and superquadratic functions / Journal of Inequalities in Pure and Applied Mathematics 5 (4)
S. Abramovich / 2004 / Refining Jensen’s Inequality / Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie (N.S.) 47 (1) : 3 ~ 14
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