Hermite–Hadamard inequality
The Hermite Hadamard inequality for r convex functions
... the Hermite-Hadamard inequality for r-convex ...the Hermite-Hadamard inequality for an r-convex function (0 ≤ r ≤ ...the Hermite-Hadamard inequality for the ...
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Hermite Hadamard Inequality on Time Scales
... 5.5 Remark 5.3 an improvement on Hermite-Hadamard inequality. Suppose T is a symmetric time scale such that if we divide it in 2 n all of them are symmetric. An example of such a time scale is the ...
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Hermite-Hadamard inequality in the geometry of banach spaces
... the Hermite-Hadamard inequality is the first fundamental result for convex functions with a natural geometri- cal interpretation and many applications, has attracted and continues to attract much ...
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A refinement of the left hand side of Hermite Hadamard inequality for simplices
... A refinement of the left-hand side of Hermite-Hadamard inequality for simplices Monika Nowicka* and Alfred Witkowski *.. Correspondence: [email protected] Institute of Mathematics[r] ...
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Iterative Refinements of the Hermite Hadamard Inequality, Applications to the Standard Means
... the Hermite-Hadamard inequality has an extension for real-valued convex functions with variables in a linear vector space E in the following sense: let C ⊂ E be a nonempty convex of E and let f : C → ...
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Improvements of the Hermite Hadamard inequality for the simplex
... the Hermite-Hadamard inequality from the simplex barycenter to any point of the inscribed simplex except its ...generalized inequality is obtained in completion of this ...
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Improvements of the Hermite Hadamard inequality
... To present the quasi-arithmetic version of the Hermite-Hadamard inequality, we need one more notation. If ϕ and ψ are strictly monotone continuous functions on the common interval, then it is said ...
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On the refinements of the Hermite Hadamard inequality
... provided that for an interval [a, b] ⊆ R , f : [a, b] → R is a convex function. If the function f is concave, then () holds in the reverse direction. It gives an estimate from below and above of the mean value of a ...
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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 ...
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Hermite Hadamard inequality for functions whose derivatives absolute values are preinvex
... In recent years, several extensions and generalizations have been considered for classical convexity. A significant generalization of convex functions is that of invex functions intro- duced by Hanson []. Weir and Mond ...
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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] ...
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On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions
... some Hadamard type inequalities involv- ing two convex and log-convex functions, ...improved Hadamard type inequalities for products of two m-convex and (α, m)-convex ...Jensen’s inequality for the ...
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On the Hermite Hadamard Inequality and Other Integral Inequalities Involving Two Functions
... some Hermite-Hadamard-type inequalities involving two convex and log-convex functions, ...improved Hermite- Hadamard type inequalities for products of two m-convex and α, m-convex ...Jensen’s ...
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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. ...
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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 ...
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Several integral inequalities and an upper bound for the bidimensional Hermite Hadamard inequality
... Theorem . Let be a bounded area by a convex function y = h(x) and a concave func- tion y = g(x) on [a, b] such that for any x ∈ [a, b], g(x) ≥ h(x) and g – h is increasing on [a, b]. Also, let F be a two-variable ...
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Generalized Hermite-Hadamard inequality for Lipschtiz functions
... Since then numerous articles have appeared in the literature reflecting further applications and properties of mappings H, F , (see [3, 8, 10, 11, 16]) and references therein. In [10] Dragomir by relaxing convexity and ...
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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 ...
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Integral inequalities via fractional quantum calculus
... In this paper we prove several integral inequalities for the new q-shifting operator a q m = qm + – qa, such as: the q-Hölder inequality, the q-Hermite-Hadamard inequality, the q-Kork[r] ...
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The Hermite Hadamard Type Inequality of GA Convex Functions and Its Application
... Niculescu, “The Hermite-Hadamard inequality for convex functions on global NPC space,” Journal of Mathematical Analysis and Applications, vol.. Wu, “On the weighted generalization of the[r] ...
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