Results 51 to 60 of about 311,275 (193)

Optimal evaluation of a Toader-type mean by power mean

, 2015
In this paper, we present the best possible parameters p,q∈R$p, q\in\mathbb {R}$ such that the double inequality Mp(a,b)0$a, b>0$ with a≠b$a\neq b$, and we get sharp bounds for the complete elliptic integral E(t)=∫0π/2(1−t2sin2θ)1/2dθ$\mathcal{E}(t)=\int
Ying-Qing Song, Tie-hong Zhao, Y. Chu, Xiaohui Zhang   +3 more
semanticscholar   +1 more source

Power Mean Inequalities and Sums of Squares

Discrete & Computational Geometry
For fixed degree and increasing number of variables the dimension of the vector space of $n$-variate real symmetric homogeneous polynomials (forms) of degree $d$ stabilizes. We study the limits of the cones of symmetric nonnegative polynomials and symmetric sums of squares, when expressed in power-mean or monomial-mean basis. These limits correspond to
Jose Acevedo, Grigoriy Blekherman
openaire   +3 more sources

Some matrix inequalities for weighted power mean [PDF]

Annals of Functional Analysis, 2016
In this paper, we prove that, for any positive definite matrices A,B, and real numbers ν,μ,p with −1 ...
openaire   +2 more sources

n–polynomial exponential type p–convex function with some related inequalities and their applications

Heliyon, 2020
In this paper, the idea and its algebraic properties of n–polynomial exponential type p–convex function have been investigated. Authors prove new trapezium type inequality for this new class of functions.
Saad Ihsan Butt, Artion Kashuri, Muhammad Tariq, Jamshed Nasir, Adnan Aslam, Wei Gao   +5 more
doaj   +1 more source

Sharp Power Mean Bounds for Sándor Mean

, 2015
We prove that the double inequality holds for all with if and only if and …, where and are the Sandor and th power means of and , respectively.
Y. Chu, Zhen-Hang Yang, Li-Min Wu
semanticscholar   +1 more source

Inequalities of Hermite–Hadamard type for functions whose derivatives in absolute value are convex with applications

Arab Journal of Mathematical Sciences, 2015
In this paper some new Hadamard-type inequalities for functions whose derivatives in absolute values are convex are established. Some applications to special means of real numbers are given. Finally, we also give some applications of our obtained results
Muhammad Amer Latif
doaj   +1 more source

SOME NEW GENERALIZATIONS OF HADAMARD–TYPE MIDPOINT INEQUALITIES INVOLVING FRACTIONAL INTEGRALS

Проблемы анализа, 2020
In this study, we formulate the identity and obtain some generalized inequalities of the Hermite–Hadamard type by using fractional Riemann–Liouville integrals for functions whose absolute values of the second derivatives are convex.
B. Bayraktar
doaj   +1 more source

New Midpoint-type Inequalities of Hermite-Hadamard Inequality with Tempered Fractional Integrals

Cumhuriyet Science Journal, 2023
In this research, we get some midpoint type inequalities of Hermite-Hadamard inequality via tempered fractional integrals. For this, we first obtain an identity.
Ayşe Nur Altunok, Tuba Tunç
doaj   +1 more source

Sharp Power Mean Bounds for the One-Parameter Harmonic Mean

, 2015
We present the best possible parameters and such that the double inequality holds for all and with , where and and are the power and one-parameter harmonic means of and , respectively.
Y. Chu, Li-Min Wu, Ying-Qing Song
semanticscholar   +1 more source

Hermite–Hadamard–Mercer-Type Inequalities for Three-Times Differentiable Functions

Axioms
In this study, an integral identity is given in order to present some Hermite–Hadamard–Mercer-type inequalities for functions whose powers of the absolute values of the third derivatives are convex.
Loredana Ciurdariu, Eugenia Grecu
doaj   +1 more source