Hermite-Hadamard Integral Inequality
Refinements of the Hermite-Hadamard Integral Inequality for Log-Convex Functions
... where G (p, q) := √ pq is the geometric mean and L (p, q) := ln p p − − q ln q (p 6 = q) is the logarithmic mean of the positive real numbers p, q (for p = q, we put L (p, p) = p). In this paper we prove another ...
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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 refinements of the Hermite Hadamard inequality
... In this paper, we present some refinements of the classical Hermite-Hadamard integral inequality for convex functions. Further, we give the concept of n-exponential convexity and log-convexity ...
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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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New inequalities of Hermite-Hadamard type for MN-convex functions
... In this paper we study several convexity, and deduce sharp integral inequalities similar to Hermite-Hadamard inequality.. First we need the following definitions.[r] ...
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Some results on quantum Hahn integral inequalities
... fractional integral inequalities are established by using the quantum Hahn integral for one and two functions bounded by quantum integrable ...The Hermite–Hadamard type of ordinary and ...
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K-fractional integral inequalities of Hadamard type for (h − m)−convex functions
... the Hermite-Hadamard kind inequality for η- convex functions by means of the (k, r)-fractional integral operators, Advances in Mathematical Inequalities and Applications (AMIA), Springer ...
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Some new Hermite–Hadamard type inequalities for s convex functions and their applications
... In this paper, we establish some new integral inequalities of Hermite–Hadamard type for s-convex functions by using the Hölder–˙I¸scan integral inequality. We also compare our new ...
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Comparisons of Two Integral Inequalities with Hermite-Hadamard-Jensen's Integral Inequality
... Menon’s integral inequalities with Hermite-Hadamard-Jensen’s integral inequalities are considered and some mistakes in the paper [On certain inequalities by Iyengar and Kesava Menon, Octogon ...
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Hermite Hadamard Inequality on Time Scales
... classical Hermite-Hadamard inequality gives us an estimate, from below and from above, of the mean value of a convex ...this inequality if we compute the mean value with the help of the delta, ...
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Inequalities for \(\mathbb{B}\) convex functions via generalized fractional integral
... like inequality theory, applied mathematics, engineering [10, 12, 13, 15, 21, 26, 30, 31, 33] (see also [29] for the histor- ical ...for integral inequalities, which is the topic of this work, fractional ...
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Integral Inequalities of Hermite Hadamard Type for r Convex Functions
... that Hermite-Hadamard inequalities may be regarded as a refinement of the concept of convexity and they follows easily from Jenson’s ...inequality. Hermite- Hadamard inequalities for ...
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Hermite-Hadamard type inequality for Sugeno integrals using general (alpha,m,r) - convex functions
... Sugeno integral. Recent literature reveals the integral inequalities for Sugeno integral such as Berwald type inequality [10], Barnes- Godunova-Levin type inequality [11], ...
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Hermite-Hadamard inequality in the geometry of banach spaces
... The study of normed spaces is one of the main focuses of functional analysis, in particular, when the norm induces a complete metric. On the suggestion of Fr´echet, a complete normed space is referred to as Banach space ...
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Some results on integral inequalities via Riemann–Liouville fractional integrals
... inequalities, Hermite–Hadamard inequalities have been considered by numerous mathematicians be- cause of their pertinence and ...the Hermite– Hadamard inequality to different structures ...
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New generalized Hermite Hadamard type inequalities and applications to special means
... above inequality is the so-called classical Hermite-Hadamard type inequality which provides lower and upper estimations for the integral average of any convex function de- fined on a ...
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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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On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions
... [6] S.S. Dragomir, R.P. Agarwal and N.S. Barnett, Inequalities for beta and gamma functions via some classical and new integral inequalities, J. Inequal. & Appl., 5 (2000), 103-165. [7] M. Haase, Convexity ...
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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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On an implicit convexity concept and some integral inequalities
... important integral inequalities are based on a convexity assumption of a certain function, such as Jensen’s inequality, the Hermite-Hadamard inequality, the Hardy-Littlewood-Pólya ...
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