Results 31 to 40 of about 100,426 (289)

On inequalities of Jensen-Ostrowski type [PDF]

, 2015
We provide new inequalities of Jensen-Ostrowski type, by considering bounds for the magnitude of (Formula Presented), with various assumptions on the absolutely continuous function f:[a,b]→C and a μ-measurable function g, and a complex number λ ...
Cerone, P, Dragomir, Sever S, Kikianty, E   +2 more
core   +1 more source

Bohr's inequality revisited

, 2011
We survey several significant results on the Bohr inequality and presented its generalizations in some new approaches. These are some Bohr type inequalities of Hilbert space operators related to the matrix order and the Jensen inequality.
Fujii, Masatoshi, Micic, Jadranka, Moslehian, Mohammad Sal   +2 more
core   +1 more source

Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications

Mathematics, 2023
Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad, Ayesha, Yuanheng Wang, Saad Ihsaan Butt   +3 more
doaj   +1 more source

Converse Jensen Inequality

Rocky Mountain Journal of Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Improved Hermite–Hadamard Inequality Bounds for Riemann–Liouville Fractional Integrals via Jensen’s Inequality

Fractal and Fractional
This paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali, Wei Liu, Shigeru Furuichi, Michal Fečkan   +3 more
doaj   +1 more source

Some Properties and Inequalities for the h,s-Nonconvex Functions

Journal of Mathematics, 2020
The purpose of this paper is to introduce the notion of strongly h,s-nonconvex functions and to present some basic properties of this class of functions. We present Schur inequality, Jensen inequality, Hermite–Hadamard inequality, and weighted version of
Chengli Wang, Muhammad Shoaib Saleem, Hamood Ur Rehman, Muhammad Imran   +3 more
doaj   +1 more source

Jensen's Trace Inequality in Several Variables [PDF]

International Journal of Mathematics, 2003
For a convex, real function f, we present a simple proof of the formula [Formula: see text] valid for each tuple (x1,…, xm) of symmetric matrices in [Formula: see text] and every unital column (a1,…, am) of matrices, i.e. [Formula: see text]. This is the standard Jensen trace ine-quality. If f ≥ 0 it holds also for the unbounded trace on [Formula: see
Hansen, Frank, Pedersen, Gert K.
openaire   +3 more sources

Fuzzy Stability of Additive Functional Inequalities with the Fixed Point Alternative

Journal of Inequalities and Applications, 2009
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the Cauchy additive functional inequality and of the Cauchy-Jensen additive functional inequality in fuzzy Banach spaces.
Choonkil Park
doaj   +2 more sources

Finite mixture regression: A sparse variable selection by model selection for clustering [PDF]

, 2014
We consider a finite mixture of Gaussian regression model for high- dimensional data, where the number of covariates may be much larger than the sample size. We propose to estimate the unknown conditional mixture density by a maximum likelihood estimator,
Devijver, Emilie
core   +4 more sources

Integral Jensen–Mercer and Related Inequalities for Signed Measures with Refinements

Mathematics
In this paper, we give necessary and sufficient conditions for the integral Jensen–Mercer inequality and closely related inequalities to be satisfied for finite signed measures.
László Horváth
doaj   +1 more source