Results 1 to 10 of about 18,915 (259)

Weighted arithmetic–geometric operator mean inequalities [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we refine and generalize some weighted arithmetic–geometric operator mean inequalities due to Lin (Stud. Math. 215:187–194, 2013) and Zhang (Banach J. Math. Anal. 9:166–172, 2015) as follows: Let A and B be positive operators.
Jianming Xue
doaj   +3 more sources

Extensions of interpolation between the arithmetic-geometric mean inequality for matrices [PDF]

Journal of Inequalities and Applications, 2017
In this paper, we present some extensions of interpolation between the arithmetic-geometric means inequality. Among other inequalities, it is shown that if A, B, X are n × n $n\times n$ matrices, then ∥ A X B ∗ ∥ 2 ≤ ∥ f 1 ( A ∗ A ) X g 1 ( B ∗ B ) ∥ ∥ f
Mojtaba Bakherad, Rahmatollah Lashkaripour, Monire Hajmohamadi   +2 more
doaj   +2 more sources

Matrix Arithmetic-Geometric Mean and the Computation of the Logarithm [PDF]

SIAM Journal on Matrix Analysis and Applications, 2016
Summary: We investigate the stability of the matrix arithmetic-geometric mean (AGM) iteration. We show that the classical formulation of this iteration may be not stable (a necessary and sufficient condition for its stability is given) and investigate the numerical properties of alternative formulations. It turns out that the so-called Legendre form is
Rui Rälhä, João R Cardoso
exaly   +5 more sources

Optimal two-parameter geometric and arithmetic mean bounds for the Sándor–Yang mean

Journal of Inequalities and Applications, 2019
In the article, we provide the sharp bounds for the Sándor–Yang mean in terms of certain families of the two-parameter geometric and arithmetic mean and the one-parameter geometric and harmonic means.
Wei-Mao Qian, Yue-Ying Yang, Hong-Wei Zhang, Yu-Ming Chu   +3 more
doaj   +3 more sources

Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters

Journal of Inequalities and Applications, 2017
In the article, we present the best possible parameters λ = λ ( p ) $\lambda=\lambda (p)$ and μ = μ ( p ) $\mu=\mu(p)$ on the interval [ 0 , 1 / 2 ] $[0, 1/2]$ such that the double inequality G p [ λ a + ( 1 − λ ) b , λ b + ( 1 − λ ) a ] A 1 − p ( a , b )
Wei-Mao Qian, Yu-Ming Chu
doaj   +3 more sources

On the arithmetic-geometric mean inequality [PDF]

Journal of Mathematical Inequalities, 2021
Summary: In this article, we present a new treatment of the arithmetic-geometric mean inequality and its siblings, the Heinz and the Young inequalities. New refinements via calculus computations and convex analysis are presented and a new Heinz-type inequality is presented for any symmetric operator mean.
Sababheh, Mohammad, Furuichi, Shigeru, Heydarbeygi, Zahra, Moradi, Hamid Reza   +3 more
openaire   +2 more sources

OMPLEMENTARY OF CLASSICAL MEANS WITH RESPECT TO HERON MEAN AND THEIR SCHUR CONVEXITIES [PDF]

Proceedings on Engineering Sciences, 2021
In this paper, the complementary of arithmetic mean, geometric mean, harmonic mean and contra harmonic mean with respect to Heron mean are defined. Further, by finding the partial derivatives developed the Schur convexity and Schur geometric convexity ...
K M Nagaraja, Ambika M Hejib, Sampathkumar R, Venkataramana B S   +3 more
doaj   +1 more source

Connection of the Radish Seed's Physical Characteristics with the Bottom Holes Design of the Seeder Device [PDF]

Journal of Soil Sciences and Agricultural Engineering, 2023
Various physical properties of radish seeds were determined as indicators during the hole design of the seeder bottom. The principal dimensions (thickness, width, and length), geometric mean diameter, arithmetic mean diameter, seeds surface area, bulk ...
Z. E. Ismail, Kh. A. A. Khdar, Marwa Shawky   +2 more
doaj   +1 more source

Calculation of integrals in MathPartner

Discrete and Continuous Models and Applied Computational Science, 2021
We present the possibilities provided by the MathPartner service of calculating definite and indefinite integrals. MathPartner contains software implementation of the Risch algorithm and provides users with the ability to compute antiderivatives for ...
Gennadi I. Malaschonok, Alexandr V. Seliverstov   +1 more
doaj   +1 more source

A generalization of the arithmetic-geometric means inequality [PDF]

Proceedings of the American Mathematical Society, 1976
It is shown that the arithmetic mean of x 1
Fink, A. M., Jodeit, Max jun.
openaire   +2 more sources