Results 61 to 70 of about 901 (142)
Hermite-Hadamard's Type Inequalities on a Ball [PDF]
arXiv, 2019 Some trapezoid and mid-point type inequalities related to the Hermite-Hadamard inequality for the mappings defined on a ball in the space are obtained.
arxiv
Demonstratio MathematicaThis article is mainly concerned to link the Hermite-Hadamard and the Jensen-Mercer inequalities by using majorization theory and fractional calculus. We derive the Hermite-Hadamard-Jensen-Mercer-type inequalities in conticrete form, which serve as both ...
Wu Shanhe +4 more
doaj +1 more source
Erlang's loss function and a property of the exponential function [PDF]
arXiv, 2006 We show that a concavity property of the exponential function is a direct consequence of the convexity of the continued Erlang loss function.
arxiv
Morse-Sard theorem for d.c. curves [PDF]
arXiv, 2006 Let $f:I\to X$ be a d.c. mapping, where $I\subset \R$ is an open interval and $X$ a Banach space. Let $C_f$ be the set of critical points of $f$. We prove that $f(C_f)$ has zero 1/2-dimensional Hausdorff measure.
arxiv
Generalizations of Steffensen’s inequality via the extension of Montgomery identity
Open Mathematics, 2018 In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić +2 more
doaj +1 more source
Some properties of generalized higher-order convexity [PDF]
Publ. Math. Debrecen 68 (2006), 171-182, 2008 The generalized divided differences are introduced. They are applied to investigate some properties characterizing generalized higher-order convexity. Among others some support-type property is proved.
arxiv
Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law
Open Mathematics, 2018 In this paper, we consider the definition of “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law associated with the real utility distribution to give the results for majorizatioQn inequalities by using monotonic sequences.
Latif Naveed +2 more
doaj +1 more source
On Some Integral Inequalities via h-Convexity [PDF]
Miskolc Mathematical Notes, Vol. 14 (2013), No. 3, pp. 1041-1057, 2012 In this paper, we establish some new inequalities for class of SX(h,I) convex functions which are supermultiplicative or superadditive and nonnegative. And we also give some applications for special means.
arxiv
Inequalities via s−convexity and log −convexity
Topological Algebra and its Applications, 2017 In this paper, we obtain some new inequalities for functions whose second derivatives’ absolute value is s−convex and log −convex. Also, we give some applications for numerical integration.
Akdemir Ahmet Ocak +2 more
doaj +1 more source
New Estimations for h-convex Functions via Further Properties [PDF]
arXiv, 2012 In this paper, some new inequalities of the Hermite-Hadamard type for h- convex functions whose modulus of the derivatives are h-convex and applications for special means are given.
arxiv