A note on convex functions
نویسندگان
چکیده
منابع مشابه
A Note on Convex Functions
In this paper, we give twoweak conditions for a lower semi-continuous function on the n-dimensional Euclidean space Rn to be a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex functions.
متن کاملA note on Alexsandrov type theorem for k-convex functions
A classical result of Alexsandrov [1] asserts that convex functions in R are twice differentiable a.e., (see also [3], [8] for more modern treatments). It is well known that Sobolev functions u ∈ W , for p > n/2 are twice differentiable a.e.. The following weaker notion of convexity known as k-convexity was introduced by Trudinger and Wang [12, 13]. Let Ω ⊂ R be an open set and C(Ω) be the clas...
متن کاملA Note on Some New Fractional Results Involving Convex Functions
In this paper, we establish some new integral inequalities for convex functions by using the Riemann-Liouville operator of non integer order. For our results some classical integral inequalities can be deduced as some special cases.
متن کاملSome Results on Convex Spectral Functions: I
In this paper, we give a fundamental convexity preserving for spectral functions. Indeed, we investigate infimal convolution, Moreau envelope and proximal average for convex spectral functions, and show that this properties are inherited from the properties of its corresponding convex function. This results have many applications in Applied Mathematics such as semi-definite programmings and eng...
متن کاملA Note on the Hermite–hadamard Inequality for Convex Functions on the Co–ordinates
In this paper, we obtain some new Hermite-Hadamard-type inequalities for convex functions on the co-ordinates. We conclude that the results obtained in this work are the refinements of the earlier results.
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: Czechoslovak Mathematical Journal
سال: 1956
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1956.100207