Results 1 to 10 of about 11,007,602 (126)

Inequalities of Hermite-Hadamard Type

Moroccan Journal of Pure and Applied Analysis, 2015
Some inequalities of Hermite-Hadamard type for λ-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well.
Dragomir S. S.
doaj   +1 more source

INEQUALITIES OF HERMITE-HADAMARD TYPE FOR HG-CONVEX FUNCTIONS

Проблемы анализа, 2017
Some inequalities of Hermite-Hadamard type for HGconvex functions defined on positive intervals are given. Applications for special means are also provided.
S. S. Dragomir
doaj   +1 more source

Majorization theorems for strongly convex functions

Journal of Inequalities and Applications, 2019
In the article, we present several majorization theorems for strongly convex functions and give their applications in inequality theory. The given results are the improvement and generalization of the earlier results.
Syed Zaheer Ullah, M. Adil Khan, Y. Chu
semanticscholar   +1 more source

Discrete majorization type inequalities for convex functions on rectangles

Journal of Inequalities and Applications, 2019
In this paper, we present several discrete majorization type inequalities for the convex functions defined on rectangles.
M. Adil Khan, Shanhe Wu, H. Ullah, Y. Chu   +3 more
semanticscholar   +1 more source

From error bounds to the complexity of first-order descent methods for convex functions [PDF]

Mathematical programming, 2015
This paper shows that error bounds can be used as effective tools for deriving complexity results for first-order descent methods in convex minimization.
J. Bolte, Trong Phong Nguyen, J. Peypouquet, B. Suter   +3 more
semanticscholar   +1 more source

Hermite–Hadamard–Fejér type inequalities for p-convex functions

Arab Journal of Mathematical Sciences, 2017
In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p-convex functions are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p-convex functions are obtained.
Mehmet Kunt, İmdat İşcan
doaj   +1 more source

Inequalities of Jensen type for \(AH\)-convex functions

Journal of Numerical Analysis and Approximation Theory, 2016
Some integral inequalities of Jensen type for AH-convex functions defined on intervals of real line are given. Applications for power and logarithm functions are provided as well.
Sever Dragomir
doaj   +2 more sources

New inequalities of Hermite-Hadamard type for HA-convex functions

Journal of Numerical Analysis and Approximation Theory, 2018
Some new inequalities of Hermite-Hadamard type for HA-convex functions defined on positive intervals are given.
Sever Dragomir
doaj   +2 more sources

Fractional Exponentially m-Convex Functions and Inequalities

International Journal of Analysis and Applications, 2019
In this article, we introduce a new class of convex functions involving m ∈ [0, 1], which is called exponentially m-convex function. Some new Hermite-Hadamard inequalities for exponentially m-convex functions via Reimann-Liouville fractional integral are
S. Rashid, M. Noor, K. Noor
semanticscholar   +1 more source

Inequalities of Jensen type for h-convex functions on linear spaces [PDF]

Mathematica Moravica, 2015
Some inequalities of Jensen type for h-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well.
Sever Silvestru Dragomir
doaj