Results 81 to 90 of about 703,468 (190)
On Amplify-and-Forward Relaying Over Hyper-Rayleigh Fading Channels [PDF]
, 2014 Relayed transmission holds promise for the next generation of wireless communication systems due to the performance gains it can provide over non-cooperative systems.
Alvi, S. H., Wyne, S.
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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
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Power mean inequality of generalized trigonometric functions
, 2012 9
Bhayo, Barkat Ali, Vuorinen, Matti
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An Optimal Double Inequality between Power-Type Heron and Seiffert Means [PDF]
Journal of Inequalities and Applications, 2010 Purpose of this paper is to present the optimal upper and lower power-type Heron mean bounds for the Seiffert mean \(T(a,b)\). For \(k\in[0;+\infty),\) the power-type Heron mean \(H_k(a,b)\) and the Seiffert mean \(T(a,b)\) of two positive real numbers \(a\) and \(b\) are defined by: \[ H_k(a,b)=\begin{cases} \bigl((a^k+(a\,b)^{k/2}+b^k)/3\bigr)^{1/k},
Yu-Ming Chu, Miao-Kun Wang, Ye-Fang Qiu
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Strengthened power mean inequalities based on superquadraticity
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. MatemáticasThe main goal of this paper is a study of more precise power mean inequalities based on a superquadraticity. Our main results lean on a strengthened form of the Jensen inequality that holds for a class of non-negative superquadratic functions. In addition, even more accurate class of power mean inequalities has been established by using the invariance ...
Bošnjak, Marija, Krnić, Mario
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Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities
Journal of Function SpacesThis article’s objective is to introduce a new double inequality based on the Jensen–Mercer JM inequality, known as the Hermite–Hadamard–Mercer inequality. We use the JM inequality to build a number of generalized trapezoid-type inequalities.
Maryam Gharamah Ali Alshehri +3 more
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A Study of Some New Hermite–Hadamard Inequalities via Specific Convex Functions with Applications
MathematicsConvexity plays a crucial role in the development of fractional integral inequalities. Many fractional integral inequalities are derived based on convexity properties and techniques.
Moin-ud-Din Junjua +5 more
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Journal of Inequalities and Applications, 2019 The main goal of this research is to introduce a new form of generalized Hermite–Hadamard and Simpson type inequalities utilizing Riemann–Liouville fractional integral by a new class of preinvex functions which is known as strongly generalized (ϕ,h,s) $(
Shahid Qaisar +3 more
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Advancements in Harmonic Convexity and Its Role in Modern Mathematical Analysis
Journal of MathematicsConvex functions play an integral part in artificial intelligence by providing mathematical guarantees that make optimization more efficient and reliable.
Sabila Ali +3 more
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Some results on integral inequalities via Riemann–Liouville fractional integrals
Journal of Inequalities and Applications, 2019 In current continuation, we have incorporated the notion of s−(α,m) $s- ( {\alpha,m} ) $-convex functions and have established new integral inequalities. In order to generalize Hermite–Hadamard-type inequalities, some new integral inequalities of Hermite–
Xiaoling Li +6 more
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