Results 71 to 80 of about 311,275 (193)

Power mean inequality of generalized trigonometric functions

, 2012
9
Bhayo, Barkat Ali, Vuorinen, Matti
openaire   +2 more sources

Determination of Bounds for the Jensen Gap and Its Applications

Mathematics, 2021
The Jensen inequality has been reported as one of the most consequential inequalities that has a lot of applications in diverse fields of science. For this reason, the Jensen inequality has become one of the most discussed developmental inequalities in ...
Hidayat Ullah, Muhammad Adil Khan, Tareq Saeed   +2 more
doaj   +1 more source

Matrix power means and Pólya-Szegő type inequalities

Surveys in Mathematics and its Applications, 2020
Summary: It is shown that, if \(\mu\) is a compactly supported probability measure on \(\mathbb{M}^+_n\), then, for every unit vector \(\eta\in\mathbb{C}^n\), there exists at compactly supported probability measure (denoted by \(\langle\mu\eta,\eta\rangle)\) on \(\mathbb{R}^+\) so that the inequality \[\langle P_t(\mu)\eta,\eta\rangle\le P_t(\langle\mu
Mohsen Kian, Fatemeh Rashid
openaire   +2 more sources

Optimal inequalities between Seiffert's mean and power means [PDF]

Mathematical Inequalities & Applications, 2004
For the Seiffert mean \(P(x,y):=(x-y)/[4\arctan (\sqrt{x/y})-\pi ]\), the author proves that the evaluation \(A_{p}\leq P\leq A_{q}\) holds if and only if ...
openaire   +2 more sources

HERMITE-HADAMARD’S INEQUALITIES FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE (s,m)-PREINVEX IN THE SECOND SENSE

Journal of New Theory, 2016
Abstaract−In this paper, we introduce a new class of convex functions which is called (s, m)- preinvex functions in the second sense then we establish some new Hermite-Hadamard’s inequalities whose modulus of the first derivatives are in this novel ...
Badreddine Meftah
doaj  

A note on the proofs of generalized Radon inequality [PDF]

Mathematica Moravica, 2018
In this paper, we introduce and prove several generalizations of the Radon inequality. The proofs in the current paper unify and also are simpler than those in early published work.
Yongtao Li, Xian-Ming Gu, Xiao Jianci
doaj  

Sharp bounds by the power mean for the generalized Heronian mean

, 2012
In this article, we answer the question: For p, ω ∈ ℝ with ω > 0 and p(ω - 2) ≠ 0, what are the greatest value r1 = r1(p, ω) and the least value r2 = r2(p, ω) such that the double inequality Mr1a,b 0 with a ≠ b?
Yong-Min Li, B. Long, Y. Chu
semanticscholar   +1 more source

Complementary inequalities to Davis-Choi-Jensen's inequality and operator power means

, 2021
Let $f$ be an operator convex function on $(0,\infty)$, and $ $ be a unital positive linear maps on $B(H)$. we give a complementary inequality to Davis-Choi-Jensen's inequality as follows \begin{equation*} f( (A))\geq \frac{4R(A,B)}{(1+R(A,B))^2} (f(A)), \end{equation*} where $R(A, B)=\max\{r(A^{-1}B) ,r(B^{-1}A)\}$ and $r(A)$ is the spectral radius
openaire   +2 more sources

Fractional Ostrowski type inequalities for functions whose derivatives are s-preinvex

Extracta Mathematicae, 2019
In this paper, we establish a new integral identity, and then we derive some new fractional Ostrowski type inequalities for functions whose derivatives are s-preinvex.
Badri Meftah, M. Merad, A. Souahi
doaj  

Some New Classes of Preinvex Functions and Inequalities

Mathematics, 2018
In this article, we introduce some new class of preinvex functions involving two arbitrary auxiliary functions. We derive some new integral inequalities for these classes of preinvex functions. We also discuss some special cases which can be deduced from
Muhammad Aslam Noor, Khalida Inayat Noor, Saima Rashid   +2 more
doaj   +1 more source