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Hermite Hadamard type inequality

The Hermite Hadamard Type Inequality of GA Convex Functions and Its Application

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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Hermite Hadamard Type Inequalities for Functions Whose Derivatives Are η- Convex via Fractional Integrals

Hermite Hadamard Type Inequalities for Functions Whose Derivatives Are η- Convex via Fractional Integrals

... Keywords: Convex function, η -convex function, Hermite Hadamard type inequality, fractional.. integral.[r] ...

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Hermite Hadamard Inequality on Time Scales

Hermite Hadamard Inequality on Time Scales

... the Hermite-Hadamard ...of Hermite-Hadamard inequality for some symmetric ...our Hermite-Hadamard type inequality; we present them in Section 5 together with ...

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Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Applications

Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Applications

... Ostrowski type inequality for general convex functions defined on linear spaces is ...the Hermite- Hadamard type inequality for convex functions defined on linear spaces are ...

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Some Companions of Fejér's Inequality for Convex Functions

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] ...

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On the Hermite Hadamard type inequalities

On the Hermite Hadamard type inequalities

... this inequality have appeared in the literature (see, ...new Hermite-Hadamard inequalities and other integral inequalities involving two functions in ...dual Hermite-Hadamard ...

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Hermite–Hadamard type inequalities for fractional integrals via Green’s function

Hermite–Hadamard type inequalities for fractional integrals via Green’s function

... attractive inequality in the last decades is the well-known HermiteHadamard ...by Hermite and Hadamard independently, and it provides an equivalence with the convexity ...This ...

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Hermite-Hadamard inequality in the geometry of banach spaces

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 ...

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Some fractional integral inequalities of type Hermite–Hadamard through convexity

Some fractional integral inequalities of type Hermite–Hadamard through convexity

... holds for all x, y ∈ I and ω ∈ [0, 1]. In fact a large number of articles have been written on inequalities using classical convexity but one of the most important and well known is Hermite–Hadamard’s ...

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Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals

Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals

... and Hermite- Hadamard type integral ...new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola fractional integrals, H¨ older inequality and ...

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Generalization of integral inequalities of the type of Hermite-Hadamard through invexity

Generalization of integral inequalities of the type of Hermite-Hadamard through invexity

... Dragomir, Hermite-Hadamard inequality for functions whose deriva- tives absolute values are preinvex, RGMIA Research Report Collection, 14(2011), Article 64, 11 ...Noor, ...

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Inequalities of Hermite-Hadamard type for HG-convex functions

Inequalities of Hermite-Hadamard type for HG-convex functions

... trowski type inequalities for functions whose modulus of the derivatives are convex and applications. Inequality Theory and Applications, vol. 2 (Chinju/Masan, 2001), 19–32, Nova Sci. Publ., Hauppauge, NY, ...

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The Hermite Hadamard inequality for r convex functions

The Hermite Hadamard inequality for r convex functions

... the Hadamard inequality for r-convex functions could be found in [] and ...studied Hermite-Hadamard-type inequalities for generalized -convex ...

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Improvements of the Hermite Hadamard inequality for the simplex

Improvements of the Hermite Hadamard inequality for the simplex

... B are similar respecting the homothety with the center at A and the coefficient n/(n + ). If A ∈ B , then C ⊂ B by the convex combinations in formula (). Combining Lemma . and Lemma ., and applying Corollary . to ...

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On the refinements of the Hermite Hadamard inequality

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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Some Inequalities for the Integral Mean of Hölder Continuous Functions Defined on Disks in a Plane

Some Inequalities for the Integral Mean of Hölder Continuous Functions Defined on Disks in a Plane

... Abstract. Some bounds for the derivation of the integral mean of a function defined on a compact disk from the value at the central point and related results are presented. A version of Ostrowski’s inequality for ...

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Some results on integral inequalities via Riemann–Liouville fractional integrals

Some results on integral inequalities via Riemann–Liouville fractional integrals

... up HermiteHadamard-type inequalities for Riemann– Liouville fractional integral using the s – (α, m) convexity, as well as concavity, for functions whose absolute values of the first derivative are ...

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Improvements of the Hermite Hadamard inequality

Improvements of the Hermite Hadamard inequality

... Proof Equation () can be extended with the barycenter of the set B \ A. Using the secant line y = h(x) of the convex curve y = f (x) respecting the interval A (f (x) ≤ h(x), x ∈ A and f (x) ≥ h(x), x ∈ B \ A), we ...

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Some Hermite-Hadamard type inequalities for operator convex functions and positive maps

Some Hermite-Hadamard type inequalities for operator convex functions and positive maps

... For recent related results on operator Hermite-Hadamard type inequalities, see [1]-[2], [5]-[10] and [13]. Let H be a complex Hilbert space and B (H) , the Banach algebra of bounded linear operators ...

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On an implicit convexity concept and some integral inequalities

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 ...

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