Results 81 to 90 of about 36,362 (173)

Scaled evolution of the reversed power mean inequalities

Filomat
Motivated by the Hanin inequality, in this paper we study a class of reversed power mean inequalities that does not depend on a weight function. We first give the reverse of the basic power mean inequality describing the monotonic behavior of means. Then, we establish the scaled, i.e. two-parametric versions of the obtained inequalities. By scaling, we
Marija Bosnjak, Mario Krnic, Tibor Pogány   +2 more
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Power mean inequality of generalized trigonometric functions

, 2012
9
Bhayo, Barkat Ali, Vuorinen, Matti
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Two optimal double inequalities between power mean and logarithmic mean

Computers & Mathematics with Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu-Ming Chu 0001, Wei-feng Xia
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Some inequalities for weighted power mean

Journal of Mathematical Inequalities
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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New Quantum Estimates of Trapezium-Type Inequalities for Generalized ϕ-Convex Functions

Mathematics, 2019
In this paper, a quantum trapezium-type inequality using a new class of function, the so-called generalized ϕ -convex function, is presented. A new quantum trapezium-type inequality for the product of two generalized ϕ -convex functions is ...
Miguel J. Vivas-Cortez, Rozana Liko, Artion Kashuri, Jorge E. Hernández Hernández   +3 more
doaj   +1 more source

Jessen's functional, its properties and applications

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In this paper we consider Jessen's functional, defined by means of a positive isotonic linear functional, and investigate its properties. Derived results are then applied to weighted generalized power means, which yields extensions of some recent results,
Lovričević Neda, Pečarić Josip, Krnić Mario   +2 more
doaj   +1 more source

Power means of probability measures and Ando-Hiai inequality

, 2018
Let $μ$ be a probability measure of compact support on the set $\mathbb{P}_n$ of all positive definite matrices, let $t\in(0,1]$, and let $P_t(μ)$ be the unique positive solution of $X=\int_{\mathbb{P}_n}X\sharp_t Z dμ(Z)$. In this paper, we show that $$ P_t(μ)\leq I\quad \Longrightarrow\quad P_{\frac{t}{p}}(ν)\leq P_t(μ)$$ for every $p\geq1$, where $ν(
Kian, Mohsen, Moslehian, Mohammad Sal
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Some novel inequalities for Caputo Fabrizio fractional integrals involving -convex functions with applications

Mathematical and Computer Modelling of Dynamical Systems
Fractional calculus is extremely important and should not be undervalued due to its critical role in the theory of inequalities. In this article, different generalized Hermite-Hadamard type inequalities for functions whose modulus of first derivatives ...
Asfand Fahad, Ammara Nosheen, Khuram Ali Khan, Maria Tariq, Rostin Matendo Mabela, Ahmed S.M. Alzaidi   +5 more
doaj   +1 more source

New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals

Boundary Value Problems
The Hermite–Hadamard–Fejér-type inequality is an effective utensil for examining upper and lower estimations of the integrals of convex functions. In this study, the power mean inequality and Hölder inequality are employed.
Maria Tariq, Ammara Nosheen, Khuram Ali Khan, Khadijah M. Abualnaja   +3 more
doaj   +1 more source

On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals

Heliyon
The main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha, Tasawar Abbas, Zhixiong Li, Amor Rebey, Affaq Ahmed, Sanaa Anjum   +5 more
doaj   +1 more source