Hermite–Hadamard type inequalities via m and (α, m)-convexity
نویسندگان
چکیده
منابع مشابه
On 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.
متن کاملHERMITE HADAMARD TYPE INEQUALITIES FOR m-CONVEX AND (α,m)-CONVEX FUNCTIONS FOR FUZZY INTEGRALS
In this paper Hermite—Hadamard type inequalities for m-convex and (α,m)-convex functions for fuzzy integrals are given. Some examples are also given to illustrate the results.
متن کامل(m1,m2)-Convexity and Some New Hermite-Hadamard Type Inequalities
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...
متن کاملNew Inequalities of Hadamard-type via -Convexity
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.
متن کاملHardy Type Inequalities via Convexity - the Journey so Far
It is nowadays well-known that Hardy’s inequality (like many other inequalities) follows directly from Jensen’s inequality. Most of the development of Hardy type inequalities has not used this simple fact, which obviously was unknown by Hardy himself and many others. Here we report on some results obtained in this way mostly after 2002 by mainly using this fundamental idea.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Demonstratio Mathematica
سال: 2013
ISSN: 2391-4661
DOI: 10.1515/dema-2013-0473