Hermite-Hadamard’s Inequality
Further inequalities for log-convex functions related to Hermite-Hadamard result
... [40] S. S. Dragomir and S. Wang, A new inequality of Ostrowski’s type in L p − norm and applications to some special means and to some ...
27
On generalized Hermite-Hadamard inequality for generalized convex function
... In [10], Sarikaya et al. established inequalities for twice differentiable convex mappings which are connected with Hadamard’s inequality, and they used the following lemma to prove their results. Lemma 1.3. Let f ...
14
Generalized Hermite-Hadamard inequality for Lipschtiz functions
... set S ⊆ R is said to be invex with respect to the map η : S × S → S, if for every x, y ∈ S and every t ∈ [0, 1], y + tη (x, y) ∈ ...∈ S is a subset of S defined ...
11
Bernstein's polynomials for convex functions and related results
... In this paper we establish several polynomials similar to Bernstein’s polynomials and several refine- ments of Hermite-Hadamard inequality for convex functions.. Keywords: Hermite-Hadama[r] ...
12
The Hermite Hadamard inequality for r convex functions
... The inequality () is an extension and refinement of () and ...implies s-convexity ( ≤ r ≤ ...the Hermite-Hadamard inequality by r-convexity ( ≤ r ≤ ...an s-convex function g ...
8
Bounds for the generalization of two mappings related to the Hermite-Hadamard inequality
... In this paper, we give some results concerning the generalization of two mappings associated to the fa- mous Hermite-Hadamard integral inequality for convex functions.. As application, s[r] ...
9
Jensen’s and Hermite–Hadamard’s Type Inequalities for Lower and Strongly Convex Functions on Normed Spaces
... Jensen inequality and Hermite–Hadamard inequality are ones of the most important inequalities in convex analysis and they have various applications in mathematics, statistics, economics and ...
13
Companions of Hermite-Hadamard Inequality for Convex Functions (II)
... [37] B. GAVREA, On Hadamard’s inequality for the convex mappings de- fined on a convex domain in the space, Journal of Ineq. in Pure & Appl. Math., 1 (2000), No. 1, Article 9, http://jipam.vu.edu.au/ [38] P. ...
19
Hermite-Hadamard inequality in the geometry of banach spaces
... More norm inequalities are discussed in Chapter 5 to give quantitative comparison amongst the p-HH-norms for different values of p. In order to establish such compar- ison, a particular type of ˇ Cebyˇsev difference is ...
218
Some Companions of Fejér's Inequality for Convex Functions
... In this paper, we establish some companions of Fej´ er’s inequality for convex functions which generalize the inequalities of Hermite-Hadamard type from [2] and [7]1. Hermite-Hadamard in[r] ...
12
Double integral inequalities of Hermite-Hadamard type for h-convex functions on linear spaces
... by Hermite and was published in 1881 in the journal Mathesis (see ...this inequality was proved by Hadamard [5] in ...Hadamard’s inequality, the inequality is now com- monly referred to ...
10
On an implicit convexity concept and some integral inequalities
... Jensen’s inequality, the Hermite-Hadamard inequality, the Hardy-Littlewood-Pólya majoration inequality, Petrović’s inequality, Popoviciui’s convex function inequality, and ...
16
Improvements of the Hermite Hadamard inequality for the simplex
... Let S ⊆ X be a set. The set containing all affine combinations of points of S is called the affine hull of the set S, and it is denoted with aff S ...set S is affine if S = aff ...
12
New Inequalities of Hermite-Hadamard Type for Log-Convex Functions
... 5. N.S. Barnett, P. Cerone, S.S. Dragomir, M.R. Pinheiro,and A. Sofo, Ostrowski type inequal- ities for functions whose modulus of the derivatives are convex and applications. Inequality Theory and Applications, ...
18
Hermite-Hadamard inequality for geometrically quasiconvex functions on co-ordinates
... inequality. There have been several works in the literature which are devoted to investigating refine- ments and generalizations of the Hermite-Hadamard inequality for convex functions, see ...
14
Improvements of the Hermite Hadamard inequality
... important Hermite-Hadamard inequal- ...functions, Hermite (see []) attained the inequality in equa- tion ...result, Hadamard (see []) got the left-hand side of equation ...this ...
11
Integral Inequalities of Hermite-Hadamard Type for Harmonic (h,s)-Convex Functions
... (h, s)-convex functions. One can easily show that harmonic (h, s)-convex functions include Godunova-Levin harmonic convex functions and harmonic s-convex functions as special ...new ...
9
On a half discrete reverse Mulholland type inequality and an extension
... 3. Yang, B: Hilbert-Type Integral Inequalities. Bentham Science Publishers, Sharjah (2009) 4. Yang, B: Discrete Hilbert-Type Inequalities. Bentham Science Publishers, Sharjah (2011) 5. Yang, B: An extension of ...
9
INEQUALITIES OF HERMITE-HADAMARD TYPE FOR COMPOSITE -CONVEX FUNCTIONS
... [52] E. K. Godunova and V. I. Levin, Inequalities for functions of a broad class that contains convex, monotone and some other forms of functions. (Russian) Numerical mathematics and mathematical physics (Russian), ...
20
SOME WEIGHTED INTEGRAL INEQUALITIES FOR SUB/SUPERADDITIVE FUNCTIONS ON LINEAR SPACES
... Dragomir, An inequality improving the …rst Hermite-Hadamard inequality for convex functions de…ned on linear spaces and applications for semi-inner products,.. Pure & Appl.[r] ...
14