Results 21 to 30 of about 68,947 (308)

Inequalities of Hermite-Hadamard Type for GG-Convex Functions

Annals of the West University of Timisoara: Mathematics and Computer Science, 2019
Some inequalities of Hermite-Hadamard type for GG-convex functions defined on positive intervals are given. Applications for special means are also provided.
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

A note on convex functions

International Journal of Mathematics and Mathematical Sciences, 1999
In this paper, we give two weak conditions for a lower semi-continuous function on the n-dimensional Euclidean space Rn to be a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex functions.
Yu-Ru Syau
doaj   +1 more source

The Schur-convexity of the mean of a convex function

Applied Mathematics Letters, 2009
The authors establish the Schur-convexity at the upper and lower limits of the integral for the mean of a convex function. Furthermore, a new proof of the inequality \[ f\bigg(\frac{a+b}{2}\bigg)=H(0) \leq H(t) \leq H(1)= \frac1{b-a}\int^ b_ a f(x)\,dx \] obtained by \textit{S. S. Dragomir} [J. Math. Anal. Appl. 167, No. 1, 49--56 (1992; Zbl 0758.26014)
Huan-Nan Shi, Da-Mao Li, Chun Gu
openaire   +1 more source

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

Hadamard Inequalities for Wright-Convex Functions

, 2003
In this paper, we establish serveral inequalities of Hadamard’s type for Wright-Convex ...
G.-S. Yang, S. S. Dragomir, Yang, Gou-Sheng, Tseng, Kuei-Lin, Dragomir, Sever S, K.-L. Tseng, Yang, G, Tseng, K   +7 more
core   +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

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

, 2007
An Ostrowski type inequality for convex functions defined on linear spaces is generalised. Some inequalities which improve the Hermite–Hadamard type inequality for convex functions defined on linear spaces are derived using the obtained result.
Cerone, P., Dragomir, S.S., Dragomir, Sever S, Cerone, Pietro, Kikianty, Eder   +4 more
core   +1 more source

Clinical Validation of Plasma p‐217tau in Neurological Diseases

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Plasma p‐217tau is a minimally invasive but specific biomarker for diagnosing Alzheimer's disease (AD). However, its disease specificity remains to be clinically evaluated. We validated the reliability of the p‐217tau biomarker in 12 other neurological diseases.
Takeshi Kawarabayashi, Takumi Nakamura, Ryoma Takahashi, Tetsuya Ueda, Seiji Kinoshita, Chikage Uchida, Takashi Sugawara, Kentaro Hashimoto, Kunihiko Ishizawa, Masakuni Amari, Hiroo Kasahara, Yoshio Ikeda, Masamitsu Takatama, Mikio Shoji   +13 more
wiley   +1 more source

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