The sharpening of some inequalities via abstract convexity
نویسندگان
چکیده
منابع مشابه
The Sharpening of Some Inequalities via Abstract Convexity
One of the application areas of abstract convexity is inequality theory. In this work, the authors seek to derive new inequalities by sharpening well-known inequalities by the use of abstract convexity. Cauchy-Schwarz inequality, Minkowski inequality and well-known mean inequalities are studied in this sense, concrete results are obtained for some of them. Mathematics subject classification (20...
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15 صفحه اولOn some inequalities of Hermite-Hadamard type via m-convexity
Keywords: m-convex functions Hermite–Hadamard inequalities Hölder inequality Power-mean inequality a b s t r a c t In this paper we give some estimates to the right-hand side of Hermite–Hadamard inequality for functions whose absolute values of second derivatives raised to positive real powers are m-convex.
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In this manuscript, a new class of extended (m1,m2)-convex and concave functions is introduced. After some properties of (m1,m2)-convex functions have been given, the inequalities obtained with Hölder and Hölder-İşcan and power-mean and improwed power-mean integral inequalities have been compared and it has been shown that the inequality with Hölder-İşcan inequality gives a better approach than...
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Some new Hermite-Hadamard’s inequalities for h-convex functions are proved, generalizing some results in [1, 3, 6] and unifying a number of known results. Some new applications for special means of real numbers are also deduced.
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2009
ISSN: 1331-4343
DOI: 10.7153/mia-12-04