Selected Topics on Hermite-Hadamard Inequalities and Applications

By Sever Silvestru Dragomir, Charles E. M. Pearce. 2003

922 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/b9d69f9a4558c19412805e0377f3a609647b3b93

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

Hermite‐Hadamard inequalities for Riemann‐Liouville fractional integrals of a convex function with respect to a monotone function (2019, background): “It is important to be noted that if we set ψ(x) = x in (5), then ψ-Riemann–Liouville fractional integral reduces to Riemann–Liouville fractional integral (4).”
Fractional Hermite-Hadamard Inequalities for some New Classes of Godunova-Levin Functions (2014, unknown): “a (x− t)α−1 f (t)dt, x> a, (5) and Jα b− f (x) = 1 Γ (α) b ∫”
Some q-analogues of Hermite–Hadamard inequality of functions of two variables on finite rectangles in the plane (2017, background): “…inequalities and theory of convex functions have been observed to be profoundly dependent on each other and consequently a vast literature on inequalities has been produced by a number of researchers using convex functions, see Dragomir and Pearce (2000), Dragomir and Agarwal (1998) and Ion (2007).”
Remarks on strongly convex functions (2010, background): “for all x, y ∈ I, x 5 ,8,9] and the references therein).”
Hermite-Hadamard inequality for functions whose derivatives absolute values are preinvex (2012, background): “We begin with the following lemma (see Lemma 1 in [1] and Lemma 4 in [9] ).”
Generalized Convexity and Integral Inequalities (2015, background): “Then f ( a+b 2 ) ≤ 1 b−a b ∫ a f (x)dx≤ f (a)+ f (b) 2 .”
Exponential type convexity and some related inequalities (2020, methodology): “Some refinements of the H-H inequality for convex functions have been obtained [3, 15].”
Log-convexity and log-concavity of hypergeometric-like functions (2009, methodology): “This notion was introduced by Wright in the 1950s and well studied (see [ DragomirPearce , p.246] and [MPF, p.3]).”
Hermite-Hadamard type inequalities for harmonically convex functions (2013, background): “1) we refer the reader to the recent papers (see [1, 2, 3, 4, 6, 5, 7] ).”
Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities (2013, background): “137], [2]).”
Hermite-Hadamard's Inequality and the p-HH-Norm on the Cartesian Product of Two Copies of a Normed Space (2010, unknown): “We recall the classical Hermite-Hadamard’s inequality for any convex function f : [a,b] ⊂ R → R (see, for instance, [ 15 ]):”
Modification of certain fractional integral inequalities for convex functions (2020, background): “For more recent results obtained in view of inequality (2), we refer the reader to [2, 4, 6, 13, 16, 18].”