Results 31 to 40 of about 706,288 (287)

Fractional Hermite–Hadamard-Type Inequalities for Differentiable Preinvex Mappings and Applications to Modified Bessel and q-Digamma Functions

Mathematical and Computational Applications, 2023
The theory of convexity pertaining to fractional calculus is a well-established concept that has attracted significant attention in mathematics and various scientific disciplines for over a century.
Muhammad Tariq, Hijaz Ahmad, Asif Ali Shaikh, Sotiris K. Ntouyas, Evren Hınçal, Sania Qureshi   +5 more
doaj   +1 more source

Tight probablisitic MSE constrained multiuser MISO transceiver design under channel uncertainty [PDF]

, 2015
A novel optimization method is proposed to solve the probabilistic mean square error (MSE) constrained multiuser multiple-input single-output (MU-MISO) transceiver design problem.
He, X, Wu, YC
core   +1 more source

Some Inequalities Involving Weighted Power Mean

Tatra Mountains Mathematical Publications
Abstract In this paper, we first show some inequalities on weighted power mean. When a, b > 0, p ≥ 1and 0 <v ≤ τ< 1, we have v τ
Zuo, Hongliang, Niu, Xinyu
openaire   +2 more sources

A power mean inequality for the Grötzsch ring function [PDF]

Mathematical Inequalities & Applications, 2011
The Grotzsch ring function has numerous applications in geometric function theory and its properties have been investigated by many authors. Here we extend an earlier functional inequality involving the Grotzsch ring function and the geometric mean, due to Anderson, Vamanamurthy and Vuorinen, to the case of power mean.
Gendi Wang, Xiaohui Zhang, Yuming Chu
openaire   +1 more source

Some new inequalities for (α,m1,m2 )-GA convex functions

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
In this manuscript, firstly we introduce and study the concept of (α,m_1,m_2 )-Geometric-Arithmetically (GA) convex functions and some algebraic properties of such type functions.
Mahir Kadakal
doaj   +1 more source

Hessian and concavity of mutual information, differential entropy, and entropy power in linear vector Gaussian channels

, 2009
Within the framework of linear vector Gaussian channels with arbitrary signaling, closed-form expressions for the Jacobian of the minimum mean square error and Fisher information matrices with respect to arbitrary parameters of the system are calculated ...
Daniel P. Palomar, Miquel Payaró, Senior Member   +2 more
core   +3 more sources

Generalized Fractional Integral Inequalities for $(h,m,s)$-Convex Modified Functions of Second Type [PDF]

Sahand Communications in Mathematical Analysis
New variants of the Hermite - Hadamard inequality within the framework of generalized fractional integrals for $(h,m,s)$-convex modified second type functions have been obtained in this article. To achieve these results, we used the Holder inequality and
Juan Napoles Valdes, Bahtiyar Bayraktar
doaj   +1 more source

Peak to average power reduction using amplitude and sign adjustment [PDF]

, 2004
In this paper, we propose a method to reduce the peak to mean envelope power ratio (PMEPR) of multicarrier signals by modifying the constellation. For MPSK constellations, we minimize the maximum of the multicarrier signal over the sign and amplitude ...
Fazel, Maryam, Florens, Cedric, Hassibi, Babak, Sharif, Masoud   +3 more
core   +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